vector and axial-vector properties of su(3) baryons within a chiral soliton model

Vector and axial-vector properties of SU(3) baryons

within a chiral soliton model

Ghil-Seok Yang Hyun-Chul Kim

NTG (Nuclear Theory Group) Inha University

Incheon Korea

Hadron Nuclear Physics 2011 ldquoQuarks in hadrons nuclei and hadronic matterrdquo Po-hang Feb 21 2011

1 2 G S Yang H-Ch Kim [arXivhep-ph10103792 hep-ph11021786]

2 G S Yang H-Ch Kim M V Polyakov Phys Lett B 695 p214 Jan

(2011)3 G S Yang H-Ch Kim Prog Theor Phys Suppl No 186 pp 222-227 (2010)

4 G S Yang phD Thesis 2010 (unpublished) Ruhr-Universitaumlt Bochum Germany

bull SU(3) baryons ( exotic states )

bull Motivation ( Θ+ N )

bull Chiral Soliton Model

[Mass splittings]

[Vector Transitions] - Magnetic Moments - Transition Magnetic Moments - Radiative Decay Widths

[Axial-Vector Transitions] - Axial-vector Coupling Constants - Decay Widths

bull Summary

Outline

Naiumlve Quark Model (up down strange light quarks) SU(3) scheme to classify particles with the same spin and parity

Fundamental Particles multiplets (proton neutron) isospin [ SU(2) ] rarr higher symmetry (Σ K) SU(3)

SU(3) Baryons

SU(3) baryons Motivation Mass splitting Vector Axial-vector Summary

Hadron [ baryon (qqq) meson (qq) ] SU(3) color singlet

Why not 4 5 6 hellip quark states representation 10 (10)

Nothing prevents such states to exist

Y s Oh and H c Kim Phys Rev D 70 094022 (2004)

1997 Diakonov Petrov and Polyakov Narrow 5-quark resonance (q4q Θ+) ( M = 1530 Γ~ 15 MeV from Chiral Soliton Model)

(uddss)

T3

1

Θ+(uudds)

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

(uudss)

p ( uud )( udd ) n

Y

S = 1

S = 0

Anti-decuplet (10)

Motivation

S = -1

S = -2


Successful searches for Θ+ (2003~2005) 2007 PDG

Motivation


Unsuccessful searches for Θ+ (2006~2008) 2010 PDG

Motivation


New positive experiments (2005 - 2010)

DIANA 2010 (Θ+) M = 1538plusmn2 Γ= 039plusmn010 MeV (K+n rarr K0p higher statistical significance 6σ - 8σ) [confirmed by LEPS SVD KEK hellip] GRAAL (N ) M = 1685plusmn0012 MeV (CBELSATAPS LNS-Sendai hellip)

(ud-dss)

T3

1

Θ+(uudds)

frac12-frac12

-1

2

Ξ+32Ξ032Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

(u-udss)

p ( uud )( udd ) n

YS = 1

S = 0

Anti-decuplet (10)

Mass splittings of baryons crucial rarr model parameters vector and axial-vector properties in particular the effect of SU(3) symmetry breaking

MotivationProblems in the previous solitonic approaches

DPP EKP χQSMConsidered Effects SU(3) H SU(3) H SU(3) H

Input Masses

[MeV]

N(1710)Θ+(1539plusmn2)Ξ--(1862plusmn2)

ΣπN [MeV] 45 73 Predicted rarr 41

Results

I2 [fm] 04 049 048

msα [MeV]msβ [MeV]msγ [MeV]

-218-156-107

-605-23152

-197-94-53

c10 0084 0088 0037

ΓΘ+ [MeV] 15 for sym

111 for sym

071 for symDPP Diakonov Petrov Polyakov Z Physics A 359 305-314 (1997)EKP Ellis Karliner Praszalowicz JHEP 0405 002 (2004)χQSM Tim Ledwig H-Ch Kim K Goeke Phys Rev D 78 054005 amp Nucl Phys A 811 353 2008


Chiral Soliton Model

Effective and relativistic low energy theory

Large Nc limit meson field rarr soliton Quantizing SU(3) rotated-meson fields rarr Collective Hamiltonian model baryon states


Hedgehog Ansatz

Collective quantization

SU(2) Witten imbedding into SU(3) SU(2) X U(1)SU(3) baryons Motivation Mass splitting Vector Axial-vector Summary

Octet (8) J p = 12 + Decuplet (10) J p = 32 +

Y

T3

YY

T3

-1

1 N

Ξ

Λ

Σ0

1

-1

-2

Δ

Σ

Ξ

Ω-

( udd ) n p ( uud )

( dss)Ξ- Ξ0 ( uss )

Σ- Σ+

Λ

Σ0

-frac12 frac12

940

11161193

1318

Mass

( ddd )Δ- Δ++ ( uuu )Δ0 Δ+

Ω-( sss )

Ξ- Ξ0

Σ- Σ0 Σ+

-frac12 frac12-32 -32

1232

1385

1533

1673

Mass

SU(3) flavor symmetry breaking+ Isospin symmetry breaking

Chiral Soliton Model (mass)


+

Collective Hamiltonian for flavor symmetry breakings


In order to take fully into account the masses of the baryon octet as input it is inevitable to consider the breakdown of isospin symmetry

Two sources for the isospin symmetry breaking

1 mass differences of up and down quarks (hadronic part)2Electromagnetic interactions (EM part)


ΔMB = MB1 ndash MB2 = (ΔMB )H + (ΔMB )EM

B(p) B(p)

k

p pp - k

EM mass corrections

Electromagnetic (EM ) self-energy

EM [MeV] Exp

(p ndash n)EM 076plusmn030

(Σ+ ndash Σ-)EM-017plusmn030

(Ξ0 ndashΞ-)EM-086plusmn030

( p ndash n )exp~ ndash 1293 MeV ( p ndash n ) EM ~076 MeV

9383 9396

1197 1189

1321 1315

( udd ) n p ( uud )

T3


Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y

Gasser Leutwyler PhysRep 87 77 ldquoQuark Massesrdquo




In the ChSM

It can be further reduced to

Because of Bose symmetry


G S Yang H-Ch Kim and M V Polyakov Phys Lett B 695 214 (2011)


Weinberg-Treiman formulaM EM(T3) = αT3

2 + βT3 + γDashen ansatzΔM EM ~ κT3

2 ~ κrsquoQ 2



Coleman-Glashow relation


EM [MeV] Exp [input]

(Mp ndash Mn)EM076plusmn030

(MΣ+ ndash MΣ-)EM-017plusmn030

(MΞ0 ndashMΞ-)EM-086plusmn030


EM [MeV] Exp [input] reproduced

(Mp ndash Mn)EM076plusmn030 074plusmn022

(MΣ+ ndash MΣ-)EM-017plusmn030 -015plusmn023

(MΞ0 ndashMΞ-)EM-086plusmn030 -088plusmn028


Χ 2 fit





[ DWThomas et al][ PDG 2010 ][ GW 2006 ]

[ Gatchina 1981 ]

Physical mass differences of baryon decuplet


Two advantages offered by the model-independent approach in the χSM1 the very same set of dynamical model-parameters allows us to calculate the physical observables of all SU(3) baryons regardless of different SU(3) flavor representations of baryons namely octet decuplet antidecuplet and so on

2 these dynamical model-parameters can be adjusted to the experimental data of the baryon octet which are well established with high precisions



Mass α β γ (for octet decuplet antide-cuplethellip)

Vector transitions wi (i=12hellip6)

Axial transitions ai (i=12hellip6) [10] [10]

Baryonsl = l0(1 + c ΔT) linear expansion coefficient of a wire c

[8]

model-parame-ters

Chiral Soliton Model (mass)Mass splittings within a Chiral Soliton ModelFormulae for Baryon Octet Masses

(ΔM)EM(ΔM)H

hadronic mass part in terms of δ1 and δ2


Chiral Soliton Model (mass)Formulae for Baryon Decuplet Masses



Formulae for Baryon Anti-Decuplet Masses

hadronic mass part in terms of δ3




Generalized Gell-Mann-Okubo relation

When the effect of the isospin sym br is turned off

Coleman-Glashow relation is still satisfied

Present analysis reproduces all kind of well-known mass relations

Generalized Guadagnini formulae



Baryon octet masses



Employing the value of the ratio

[Using Θ+ amp Ξ-- masses based on χQSM ΣπN=(74plusmn12) MeV P Schweitzer Eur Phys J A 22 89 (2004)][GWU analysis of πN scattering data ΣπN=(64plusmn8) MeV Pavan et al PiN Newslett16110-1152002]

[Updated analysis in the pχQM ΣπN=(79plusmn7) MeV Inoue et al Phys Rev D 69 035207(2004)]



Baryon decuplet masses



Baryon antidecuplet masses


The full expression for the magnetic transitions μBBrsquo = μBBrsquo

(0) + μBBrsquo(op)

+ μBBrsquo(wf)

Chiral Soliton Model (Vec-tor)

Vector transitions

with


2 Magnetic transitions



Magnetic moments for baryon decuplet (in units of μN)




mass splitting analysis

Magnetic moments for baryon antidecuplet (in units of μN)





|μNΔ|~31Exp

161plusmn008

lt082

Transition magnetic moments (in units of μN)

isospin asymmetry





Partial decay widths of the radiative decays (in units of keV)

Consistent with GRAAL data- ldquoNarrow nucleon resonance N (1685) has much stronger photocoupling to the n than to the prdquo



- Good agreement with estimates for non-strange members

of antidecuplet N from Chiral Soliton Model

- Being a candidate for the non-strange member

of the anti-decuplet supports the existence of the Θ+

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p

[ Kuznetsov Polyakov T Boiko JJang A Kim W Kim HS Lee A Ni G S Yang Acta Phys Polon B 39 1949 (2008) ]

Chiral Soliton Model (axial-vector)

Axial-vector transitions

with

The full expression for the axial-vector transitions g 1BBrsquo = g 1BBrsquo

(0) + g 1BBrsquo(op)

+ g 1BBrsquo(wf)


Chiral Soliton Model (axial-vector)Axial-vector transitions

a1 = -398 plusmn 001 a2 = 312 plusmn 003a3 = 062 plusmn 013a4 = 291 plusmn 007a5 = -022 plusmn 003a6 = -080 plusmn 004



847plusmn002304plusmn029

ΓΘ+n = 080plusmn012 MeVΓΘ+N = 2ΓΘ+n = 161plusmn025 MeV DIANA 2010 (Θ+) Γ= 038plusmn011

MeV

PDG 2007 (Θ+) Γ= 09plusmn03 MeV

ΓΘ+N(0) = 052plusmn013 MeV

ΓΘ+N(op) = 131plusmn007 MeV

ΓΘ+N(wf) = 036plusmn001 MeV


DPP EKP χQSM This WorkAnalyzed Effects SU(3) H SU(3) H SU(3) H EM + iso H + SU(3)

H

InputMasses [MeV] N(1710

)

Θ+(1539plusmn2)Ξ--

(1862plusmn2)

Θ+(1524plusmn0005 LEPS)N(1685plusmn0012

GRAAL)

ΣπN [MeV] 45 73 Predicted (41)

Predicted (720plusmn136)

Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102

ΓΘ+ [MeV] 15 sym 111 sym 071 161plusmn025

DPP Diakonov Petrov Polyakov Z Physics A 359 305-314 (1997)EKP Ellis Karliner Praszalowicz JHEP 0405 002 (2004)χQSM Tim Ledwig H-Ch Kim K Goeke Phys Rev D 78 054005 amp Nucl Phys A 811 353 2008

ΓΘ+ 038plusmn011 MeV (DIANA) 09plusmn03 MeV (2007 PDG)

Chiral Soliton Model (Re-sults)


Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

Chiral Soliton Model ldquomodel-independent approachrdquo

Mass splittings SU(3) and isospin symmetry breakings with EM rarr No Free Parameter

Masses magnetic moments (8 10) Magnetic transitions and decay widths (8 10) rarr very good agreement with experimental data

MΘ+ = 1524 MeV [LEPS DIANA] MN = 1685 MeV [GRAAL] used as input

reliable value within a chiral soliton model

ΓΘ+ = 161plusmn025 MeV [DIANA 2010 038plusmn011] small decay width is reproduced

The study for the mass splittings to the 2nd order done [ hep-ph 11021786 Yang amp Kim] Consequent results will appear elsewhere

n p


СпасибоThank you

ありがとうございます 감사합니다

Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients

Mixings of baryon states



1 Electric transitions

Gell-Mann-Nishijima relation



Octet Decuplet

Anti-decuplet( Θ+ N )

Parameters to be fixed

1 Experimental data for the all masses of the baryon octet2 Experimental values for the Σ rarr I13 Experimental values for the Θ+ amp N

Input for fixing the parameters ( χ 2 fitting)


Moment of inertia

The ratio of current quark masses

χ 2 fitting from the octet mass formulae

( Gasser Leutwyler R = 435plusmn22)J Gasser amp H Leutwyler Phys Rept 87 77 (1982) amp PDG

2008


More complete analysis gives us more informationSU(3) baryons Motivation Mass splitting Vector Axial-vector Summary

Flavor SU(3) breaking The Ademollo-Gatto Theorem 1 Electric transitions

Mixing coefficients from mass splittings




Vector transitions

with

Sachsrsquo form factor f E(q 2) = f1(q 2) + f2(q 2) [q 2(2MN)2] f M(q 2) = f1(q 2) + f2(q 2)

n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state

Constraint for the collective quantization




Mixing coefficients




δN


Isobar ModelPseudoscalar meson ( η π K ) photoproduction ldquomissing resonancesrdquo ( γ n rarr K -Θ+ )

Narrow resonant structure W ~ 167 ndash 168 GeV on γ n rarr η n GRAAL CBTAPSELSA LNS-Tohoku (2007)

Beam asymmetry ( Σ on γ p rarr η p ) rarr amplify weak signal of a resonance

Analysis of mass spectrum on n target is rather complicated (bound in deuteron)

Kuznetsov (GRAAL 2008) Bartalini (GRAAL 2007)


Isobar ModelBreit-Wigner formula for electro- amp magnetic multi-poles

where

Reparametrized Breit-Wigner formula


Isobar Model

ηn spectrum (CBELSATAPS) ηn spectrum estimated with resonance ηn spectrum estimated without resonance ηp spectrum (GRAAL CBELSATAPS CLAS)

P11 additional to non-resonant contribution( inputs MR = 1685 ΓR = 20 MeV θ = 130

o )

Fit the ldquoBreit-Wigner formrdquo with SAID data to the exp data (GRAAL Σ on p)

Photocoupling ratio (n p) ~ 10 ndash 20

Good agreement with estimates for non-strange members of antidecuplet N from CSM

Best Fit P11 (MR ~ 1685 ΓR ~ 20 MeV)


Slide 1

Slide 2

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Slide 43

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Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53

bull SU(3) baryons ( exotic states )

bull Motivation ( Θ+ N )

bull Chiral Soliton Model

[Mass splittings]

[Vector Transitions] - Magnetic Moments - Transition Magnetic Moments - Radiative Decay Widths

[Axial-Vector Transitions] - Axial-vector Coupling Constants - Decay Widths

bull Summary

Outline



SU(3) Baryons







(uddss)

T3

1

Θ+(uudds)

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

(uudss)

p ( uud )( udd ) n

Y

S = 1

S = 0

Anti-decuplet (10)

Motivation

S = -1

S = -2



Motivation



Motivation




(ud-dss)

T3

1

Θ+(uudds)

frac12-frac12

-1

2

Ξ+32Ξ032Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

(u-udss)

p ( uud )( udd ) n

YS = 1

S = 0

Anti-decuplet (10)




Input Masses

[MeV]



Results

I2 [fm] 04 049 048


-218-156-107

-605-23152

-197-94-53

c10 0084 0088 0037


111 for sym







Hedgehog Ansatz




Y

T3

YY

T3

-1

1 N

Ξ

Λ

Σ0

1

-1

-2

Δ

Σ

Ξ

Ω-

( udd ) n p ( uud )


Σ- Σ+

Λ

Σ0

-frac12 frac12

940

11161193

1318

Mass

( ddd )Δ- Δ++ ( uuu )Δ0 Δ+

Ω-( sss )

Ξ- Ξ0

Σ- Σ0 Σ+

-frac12 frac12-32 -32

1232

1385

1533

1673

Mass




+








B(p) B(p)

k

p pp - k

EM mass corrections


EM [MeV] Exp





9383 9396

1197 1189

1321 1315

( udd ) n p ( uud )

T3


Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y





In the ChSM








2 ~ κrsquoQ 2















Χ 2 fit






[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

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Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53



SU(3) Baryons







(uddss)

T3

1

Θ+(uudds)

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

(uudss)

p ( uud )( udd ) n

Y

S = 1

S = 0

Anti-decuplet (10)

Motivation

S = -1

S = -2



Motivation



Motivation




(ud-dss)

T3

1

Θ+(uudds)

frac12-frac12

-1

2

Ξ+32Ξ032Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

(u-udss)

p ( uud )( udd ) n

YS = 1

S = 0

Anti-decuplet (10)




Input Masses

[MeV]



Results

I2 [fm] 04 049 048


-218-156-107

-605-23152

-197-94-53

c10 0084 0088 0037


111 for sym







Hedgehog Ansatz




Y

T3

YY

T3

-1

1 N

Ξ

Λ

Σ0

1

-1

-2

Δ

Σ

Ξ

Ω-

( udd ) n p ( uud )


Σ- Σ+

Λ

Σ0

-frac12 frac12

940

11161193

1318

Mass

( ddd )Δ- Δ++ ( uuu )Δ0 Δ+

Ω-( sss )

Ξ- Ξ0

Σ- Σ0 Σ+

-frac12 frac12-32 -32

1232

1385

1533

1673

Mass




+








B(p) B(p)

k

p pp - k

EM mass corrections


EM [MeV] Exp





9383 9396

1197 1189

1321 1315

( udd ) n p ( uud )

T3


Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y





In the ChSM








2 ~ κrsquoQ 2















Χ 2 fit






[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

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Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53


(uddss)

T3

1

Θ+(uudds)

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

(uudss)

p ( uud )( udd ) n

Y

S = 1

S = 0

Anti-decuplet (10)

Motivation

S = -1

S = -2



Motivation



Motivation




(ud-dss)

T3

1

Θ+(uudds)

frac12-frac12

-1

2

Ξ+32Ξ032Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

(u-udss)

p ( uud )( udd ) n

YS = 1

S = 0

Anti-decuplet (10)




Input Masses

[MeV]



Results

I2 [fm] 04 049 048


-218-156-107

-605-23152

-197-94-53

c10 0084 0088 0037


111 for sym







Hedgehog Ansatz




Y

T3

YY

T3

-1

1 N

Ξ

Λ

Σ0

1

-1

-2

Δ

Σ

Ξ

Ω-

( udd ) n p ( uud )


Σ- Σ+

Λ

Σ0

-frac12 frac12

940

11161193

1318

Mass

( ddd )Δ- Δ++ ( uuu )Δ0 Δ+

Ω-( sss )

Ξ- Ξ0

Σ- Σ0 Σ+

-frac12 frac12-32 -32

1232

1385

1533

1673

Mass




+








B(p) B(p)

k

p pp - k

EM mass corrections


EM [MeV] Exp





9383 9396

1197 1189

1321 1315

( udd ) n p ( uud )

T3


Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y





In the ChSM








2 ~ κrsquoQ 2















Χ 2 fit






[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

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Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53


Motivation



Motivation




(ud-dss)

T3

1

Θ+(uudds)

frac12-frac12

-1

2

Ξ+32Ξ032Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

(u-udss)

p ( uud )( udd ) n

YS = 1

S = 0

Anti-decuplet (10)




Input Masses

[MeV]



Results

I2 [fm] 04 049 048


-218-156-107

-605-23152

-197-94-53

c10 0084 0088 0037


111 for sym







Hedgehog Ansatz




Y

T3

YY

T3

-1

1 N

Ξ

Λ

Σ0

1

-1

-2

Δ

Σ

Ξ

Ω-

( udd ) n p ( uud )


Σ- Σ+

Λ

Σ0

-frac12 frac12

940

11161193

1318

Mass

( ddd )Δ- Δ++ ( uuu )Δ0 Δ+

Ω-( sss )

Ξ- Ξ0

Σ- Σ0 Σ+

-frac12 frac12-32 -32

1232

1385

1533

1673

Mass




+








B(p) B(p)

k

p pp - k

EM mass corrections


EM [MeV] Exp





9383 9396

1197 1189

1321 1315

( udd ) n p ( uud )

T3


Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y





In the ChSM








2 ~ κrsquoQ 2















Χ 2 fit






[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

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Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

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Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53


Motivation




(ud-dss)

T3

1

Θ+(uudds)

frac12-frac12

-1

2

Ξ+32Ξ032Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

(u-udss)

p ( uud )( udd ) n

YS = 1

S = 0

Anti-decuplet (10)




Input Masses

[MeV]



Results

I2 [fm] 04 049 048


-218-156-107

-605-23152

-197-94-53

c10 0084 0088 0037


111 for sym







Hedgehog Ansatz




Y

T3

YY

T3

-1

1 N

Ξ

Λ

Σ0

1

-1

-2

Δ

Σ

Ξ

Ω-

( udd ) n p ( uud )


Σ- Σ+

Λ

Σ0

-frac12 frac12

940

11161193

1318

Mass

( ddd )Δ- Δ++ ( uuu )Δ0 Δ+

Ω-( sss )

Ξ- Ξ0

Σ- Σ0 Σ+

-frac12 frac12-32 -32

1232

1385

1533

1673

Mass




+








B(p) B(p)

k

p pp - k

EM mass corrections


EM [MeV] Exp





9383 9396

1197 1189

1321 1315

( udd ) n p ( uud )

T3


Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y





In the ChSM








2 ~ κrsquoQ 2















Χ 2 fit






[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53




Input Masses

[MeV]



Results

I2 [fm] 04 049 048


-218-156-107

-605-23152

-197-94-53

c10 0084 0088 0037


111 for sym







Hedgehog Ansatz




Y

T3

YY

T3

-1

1 N

Ξ

Λ

Σ0

1

-1

-2

Δ

Σ

Ξ

Ω-

( udd ) n p ( uud )


Σ- Σ+

Λ

Σ0

-frac12 frac12

940

11161193

1318

Mass

( ddd )Δ- Δ++ ( uuu )Δ0 Δ+

Ω-( sss )

Ξ- Ξ0

Σ- Σ0 Σ+

-frac12 frac12-32 -32

1232

1385

1533

1673

Mass




+








B(p) B(p)

k

p pp - k

EM mass corrections


EM [MeV] Exp





9383 9396

1197 1189

1321 1315

( udd ) n p ( uud )

T3


Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y





In the ChSM








2 ~ κrsquoQ 2















Χ 2 fit






[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53





Hedgehog Ansatz




Y

T3

YY

T3

-1

1 N

Ξ

Λ

Σ0

1

-1

-2

Δ

Σ

Ξ

Ω-

( udd ) n p ( uud )


Σ- Σ+

Λ

Σ0

-frac12 frac12

940

11161193

1318

Mass

( ddd )Δ- Δ++ ( uuu )Δ0 Δ+

Ω-( sss )

Ξ- Ξ0

Σ- Σ0 Σ+

-frac12 frac12-32 -32

1232

1385

1533

1673

Mass




+








B(p) B(p)

k

p pp - k

EM mass corrections


EM [MeV] Exp





9383 9396

1197 1189

1321 1315

( udd ) n p ( uud )

T3


Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y





In the ChSM








2 ~ κrsquoQ 2















Χ 2 fit






[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

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Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53


Y

T3

YY

T3

-1

1 N

Ξ

Λ

Σ0

1

-1

-2

Δ

Σ

Ξ

Ω-

( udd ) n p ( uud )


Σ- Σ+

Λ

Σ0

-frac12 frac12

940

11161193

1318

Mass

( ddd )Δ- Δ++ ( uuu )Δ0 Δ+

Ω-( sss )

Ξ- Ξ0

Σ- Σ0 Σ+

-frac12 frac12-32 -32

1232

1385

1533

1673

Mass




+








B(p) B(p)

k

p pp - k

EM mass corrections


EM [MeV] Exp





9383 9396

1197 1189

1321 1315

( udd ) n p ( uud )

T3


Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y





In the ChSM








2 ~ κrsquoQ 2















Χ 2 fit






[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53







B(p) B(p)

k

p pp - k

EM mass corrections


EM [MeV] Exp





9383 9396

1197 1189

1321 1315

( udd ) n p ( uud )

T3


Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y





In the ChSM








2 ~ κrsquoQ 2















Χ 2 fit






[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53


In the ChSM








2 ~ κrsquoQ 2















Χ 2 fit






[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53




2 ~ κrsquoQ 2















Χ 2 fit






[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53














Χ 2 fit






[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53





[ Gatchina 1981 ]











[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53









[8]

model-parame-ters


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53


(ΔM)EM(ΔM)H


















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53
















Baryon octet masses














(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53













(0) + μBBrsquo(op)

+ μBBrsquo(wf)


Vector transitions

with















|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53














|μNΔ|~31Exp

161plusmn008

lt082


isospin asymmetry













T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53










T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y

n p




with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53



with



+ g 1BBrsquo(wf)








MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53







MeV







H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53


H


)


(1862plusmn2)


GRAAL)



Results

I2 [fm] 04 049 048 0425

msα [MeV]msβ

[MeV]msγ

[MeV]

-218-156-107

-605-23152

-197-94-53

-281-130-82

c10 0084 0088 0037 0046

g KnΘ+ 186 sym

195 sym 074 - 087 102






Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53

Summary

T3

1

Θ+

frac12-frac12

-1

2

Ξ+32Ξ0

32Ξ-32Ξ--32

Σ-10 Σ010 Σ+

10

Y








n p




Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53



Danke schoumln

謝謝TERIMA KASIH

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53

Mixing coefficients








Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53





Octet Decuplet






Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53

Moment of inertia




2008








Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53






Vector transitions

with


n p

T3

Ξ- Ξ0

Σ- Σ+

Λ

Σ0

-frac12-1 1frac12

-1

1

Y


Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53

Isobar Model

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53

Isobar Model

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53

Model baryon state





Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53

Mixing coefficients




δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53


δN









where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53








where



Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53

Isobar Model



o )






Slide 1

Slide 2

Slide 3

Slide 4

Slide 5

Slide 6

Slide 7

Slide 8

Slide 9

Slide 10

Slide 11

Slide 12

Slide 13

Slide 14

Slide 15

Slide 16

Slide 17

Slide 18

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Slide 24

Slide 25

Slide 26

Slide 27

Slide 28

Slide 29

Slide 30

Slide 31

Slide 32

Slide 33

Slide 34

Slide 35

Slide 36

Slide 37

Slide 38

Slide 39

Slide 40

Slide 41

Slide 42

Slide 43

Slide 44

Slide 45

Slide 46

Slide 47

Slide 48

Slide 49

Slide 50

Slide 51

Slide 52

Slide 53

vector and axial-vector properties of su(3) baryons within a chiral soliton model

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