チャームハドロンの面白さとは何か？

安井　繁宏(KEK)

ミニ滞在型研究検討会「チャームバリオンの構造と生成」 @10-13 Sep. 2013

So, what’s interesting in charm hadrons?

Contents

1. Introduction to charm (bottom) hadrons2. Mass spectrum of baryons with a heavy quark 4. Anti-D (B) meson in nuclear medium - Heavy meson effective theory with 1/M corretions

5. Summary & perspectives

Contents

1. Introduction to charm (bottom) hadrons2. Mass spectrum of baryons with a heavy quark 4. Anti-D (B) meson in nuclear medium - Heavy meson effective theory with 1/M corretions

Conclusion

Probe spin dynamics by charm hadrons!Then, we can approach gluon dynamics !!!

1. IntroductionWhat is interesting in hadron physics?

Non-perturbative physics of QCD- Spontaneous breaking of chrial symmetry- Confinement of color- Anomaly (chiral anomaly, scale anomaly, ...)- ...

ρColor Superconductivity

Confinement Deconfinement

2x1012 K

NuclearMatter

ClusterStrangeMatter

Neutron Stars

Early UniverseHeavy Ion Collisions

Quark-Gluon Plasma

Charm (bottom) baryons with a single heavy quark

Quark Model

Quark Model Heavy Quark Effective Theory(QCD)

Heavy quark spin+ Total angular momentum of light quarks and gluons

Quark Model Heavy Quark Effective Theory(QCD)

Heavy quark spin+ Total angular momentum of light quarks and gluons

“Brown Muck”

2. Mass spectrum of baryons with a heavy quark

Heavy quark effective theory　　　　　　 (HQET)

2. Mass spectrum of baryons with a heavy quarkHeavy quark effective theory (HQET)

Effective heavy quark field (four-velocity v)

Covariant derivative

Tensor field of gluon(chromoelectric G0i, chromomagnetic Gij)

Light quarks & gluons

1/mQ expansion

Mass of heavy meson H containing a heavy quark Q (in vacuum)

NLO O(1/mQ)

HQS conserved

HQS broken

HQS = Heavy quark symmetry, HQFS=Heavy quark flavor symmetry, HQSS=Heavy quark spin symmetry

rest frame

HQFS conservedHQSS conserved

HQFS brokenHQSS conserved

HQFS brokenHQSS broken

1/mQ expansion

Matrix elementsD-D* (B-B*) mass approximate degeneracy

Mass of heavy meson H containing a heavy quark Q (in vacuum)

NLO O(1/mQ)

HQS conserved

HQS broken

HQS = Heavy quark symmetry

rest frame

Bigi, Shifman, Uraltsev, Vainshtein,PRD52, 196 (1995)

Neubert, PLB322, 419 (1994)“the virial theorem”

1/mQ expansion

Matrix elementsD-D* (B-B*) mass approximate degeneracy

scale anomaly

chromoelectric gluon

chromomagnetic gluon

2. Mass spectrum of baryons with a heavy quarkHeavy quark limit (HQL) mQ→∞

Spin decoupling:

Heavy quark

Total angular momentumof light quarks and gluons

SY, Sudoh, Yamaguchi, Ohkoda,Hosaka, Hyodo, arXv:1304.5293

Heavy Quark Symmetry (HQS)

Spin decoupling:

Heavy quark

= +Normal heavy hadron Heavy quark Brown muck

Spin decoupling:

Heavy quark

= +Multiquark heavy hadron Heavy quark Brown muck

Spin decoupling:

Heavy quark

= +Multiquark heavy hadron Heavy quark Brown muck

Spin decoupling:

Heavy quark

= +Hadronic molecular

heavy hadronHeavy quark “Light Spin-Complex”

A complex of light quarks and gluons and light hadrons

Spin decoupling:

Heavy quark

New!!!

Spin decoupling:

Heavy quark

New!!!

Heavy hadron in nuclear medium→ Light Spin-Complex = “quark” + nucleon + hole!

Spin decoupling:

Heavy quark

mQ → ∞mQ : finiteJ=1/2

J=j-1/2, j+1/2J=j+1/2

J=j-1/2

(j≠0)1/mQ

Spin decoupling:

Heavy quark

mQ → ∞mQ : finiteJ=1/2

J=j-1/2, j+1/2J=j+1/2

J=j-1/2

(j≠0)1/mQ

HQS Singlet (j=0)

Spin decoupling:

Heavy quark

mQ → ∞mQ : finite

J=j-1/2, j+1/2J=j+1/2

J=j-1/2 (j≠0)1/mQ

J=1/2J=1/2

HQS Doublet (j≠0)

Examples1. Non-exotic baryons2. Exotic baryons3. Heavy meson in nuclear matter

Quark ModelRoberts and Pervin, Int. J. Mod. Phys. 23, 2817 (2008)

1. Non-exotic baryons (charm baryons) 野海・安井 “ J-PARC 高運動量ビームラインで拓く新しいハドロン・原子核物理” 原子核研究

Quark ModelRoberts and Pervin, Int. J. Mod. Phys. 23, 2817 (2008)

HQS Singlet

PDG2012 Quark ModelRoberts and Pervin, Int. J. Mod. Phys. 23, 2817 (2008)

HQS Singlet

PDG2012 Quark ModelRoberts and Pervin, Int. J. Mod. Phys. 23, 2817 (2008)

多数の未知の状態 !!

HQS Singlet

2. Mass spectrum of baryons with a heavy quark2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)

SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293

Unitary transformation

P(*)N(1/2-) is degenerate with P(*)N(3/2-).

P(*)N(1/2-) is degenerate with P(*)N(3/2-).HQS Doublet

P(*)N(1/2-) is degenerate with P(*)N(3/2-).Light Spin-Complex “qN” (1+) is commonly contained.

HQS Doublet

2. Mass spectrum of baryons with a heavy quark3. P(*) meson in nuclear matter P(*)=(Qq)spin 0 (1)

3 2 1Degrees ofdegeneracy =

In-medium mass of P = In medium mass of P*

HQS Doublet

In-medium mass of P = In medium mass of P*HQS Doublet

Light Spin-Complex “qNN-1” (1/2+) is commonly contained.

In-medium mass of P = In medium mass of P*HQS Doublet

2x1012 K

NuclearMatter

Neutron Stars

Quark-Gluon Plasma

2x1012 K

NuclearMatter

Neutron Stars

Quark-Gluon Plasma

Colored Object ?in quarkyoic phase,color superconductivity, ...

2x1012 K

NuclearMatter

Neutron Stars

Quark-Gluon Plasma

Light Spin-Complexin heavy hadron

2x1012 K

NuclearMatter

Neutron Stars

Quark-Gluon Plasma

Light Spin-Complexin heavy hadron

Connection by charm (bottom) quark?

3. Anti-D (B) meson in nuclear medium

Let us talk more about 1/M expansionfor heavy meson P(*) in nuclear matter!

P(*)=(Qq)spin 0 (1)

SY and Sudoh, arXiv:1308:0098 [hep-ph]

Heavy Quark Effective Theory　　　　　　 (HQET)

In-medium

3. Anti-D (B) meson in nuclear mediumHeavy quark effective theory (HQET)

Mass of heavy meson H containing a heavy quark Q (in medium at T and ρ)

NLO O(1/mQ)

HQS conserved

HQS broken

rest frame

1/mQ expansion

Matrix elements

scale anomaly

Mass of heavy meson H containing a heavy quark Q (in medium at T and ρ)

NLO O(1/mQ)

HQS conserved

HQS broken

rest frame

1/mQ expansion

Matrix elements

scale anomaly

vacuum medium

Λ : O(mQ0) + λ1 : O(1/mQ)

λ2 : O(1/mQ)

1/mQ expansion

vacuum medium

Λ : O(mQ0) + λ1 : O(1/mQ)

λ2 : O(1/mQ)

Λ , λ1 and λ2 change in medium.

1/mQ expansion

vacuum medium

Λ : O(mQ0) + λ1 : O(1/mQ)

λ2 : O(1/mQ)

Λ , λ1 and λ2 change in medium.

Gluon fields change in medium.

1/mQ expansion

Heavy meson effective theory　　　　　　 (HMET)

HQET HMET 1/mQ expansion(mQ : heavy quark mass)

1/M expansion(M : heavy meson mass)

3. Anti-D (B) meson in nuclear mediumHeavy meson effective theory with 1/M corrections

Heavy-meson effective field and separation of momentum

four-velocity + residual momentum

Luke, Manohar, PLB286, 348 (1992), Kitazawa, Kurimoto, PLB323, 65 (1994)

vector meson pseudoscalar meson Spin degeneracy at LO

1/M correction (NLO) : uncertainty of four-velocity or residual momentum (change of frame with v to frame with w)

P(*)=(Qq)spin 0 (1)

Heavy-meson effective field and separation of momentum

1/M correction (NLO) : uncertainty of four-velocity or residual momentum (change of frame with v to frame with w)

four-velocity + residual momentum

Luke, Manohar, PLB286, 348 (1992), Kitazawa, Kurimoto, PLB323, 65 (1994)

vector meson pseudoscalar meson Spin degeneracy at LO

P(*)=(Qq)spin 0 (1)

Axial-currents composed by Hv :

HQSS conserved (Γ=1, iγ5, γμ) HQSS=Heavy quark spin symmetryO(1/M0) or O(1/M1)

HQSS broken (Γ=γμγ5, σμν) smaller than or equal to O(1/M1) HQSS=Heavy quark spin symmetry

O(1/M0) or O(1/M1)

HQSS conserved

O(1/M1)

HQSS broken

HQSS=Heavy quark spin symmetry

Effective Lagrangian for HMETKitazawa, Kurimoto, PLB323, 65 (1994)

P-P* mass splitting

Axial-vector currentby pions

H pion

axial-current coupling g1, g1/M, g2/M

Effective Lagrangian for HMET --- How to fix couplings g, g1 and g2? ---

LO NLO NLO

Lattice QCD simulations by Detmold, Lin, Meinel, PRD.85, 114508 (2012)

g=0.4-0.5

Kitazawa, Kurimoto, PLB323, 65 (1994)

Effective Lagrangian for HMET --- How to fix couplings g, g1 and g2? ---

LO NLO NLO

Decay width of D* → Dπ (PDG2012)

( g, g1/MD, g2/MD ) = (0.5, 0, -0.07) for g=0.5 (Set 1) (0.4, 0, -0.17) for g=0.4 (Set 2)

Constraint on g1 and g2

We assume g1=0 (conclusion is insensitive to g1)

Kitazawa, Kurimoto, PLB323, 65 (1994)

3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter

N N NN-1 N-1 N-1

anti-D meson anti-D* meson

1/M correctionsfrom HMET

Cf. Λ-Σ mixing in nuclear matter

N N NN-1 N-1 N-1

scale anomaly in QCD

at normal density

in-medium modifications of ... at normal density

@ medium

@ vacuum

@ medium

@ vacuum

@ medium

@ vacuum

in-medium modifications of ...

→ suppressed

→ enhanced

→ suppressed

normal density

( g, g1/MD, g2/MD ) = (0.5, 0, -0.07)

(0.4, 0, -0.17)

normal density

@ medium

@ vacuum

→ suppressed

→ enhanced

→ suppressed

Energy contribution from gluonsbecomes small. (Suppression ofquantum effects.)

Kinetic energy becomes large,due to the binding energy.

D-D* (B-B*) splitting become small.(Extended brown muck dressed by nucleon-hole pairs in medium?)

normal density

( g, g1/MD, g2/MD ) = (0.5, 0, -0.07)

(0.4, 0, -0.17)

normal density

@ medium

@ vacuum

→ suppressed

→ enhanced

→ suppressed

Energy contribution from gluonsbecomes small. (Suppression ofquantum effects.)

Kinetic energy becomes large,due to the binding energy.

D-D* (B-B*) splitting become small.(Extended brown muck dressed by nucleon-hole pairs in medium?)

normal density

( g, g1/MD, g2/MD ) = (0.5, 0, -0.07)

(0.4, 0, -0.17)

normal density

@ medium

@ vacuum

about 0.9 suppression in gluon condensate (Cohen et al. 1992)

4. DiscussionHeavy baryon with a heavy quark

Non-exotic baryons (Qqq)

Exotic baryons (Qqqqq)

SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)

Exotic baryons (Qqqqq)Chromoelectric gluon → enhanced

Exotic baryons (Qqqqq)Chromomagnetic gluon → suppressed

We discussed charm baryon mass spectrum.

Heavy quark symmetry is important for (approximately) degeneratemass levels. - Non-exotic baryons - Exotic baryons (P(*)N) - P(*) meson in nuclear matter

By probing of P(*) meson mass in nuclear matter, we find ... (1) Scale anomaly from QCD is suppressed. (2) Chromoelectric gluons are enhanced. (3) Chromomagnetic gluons are suppressed.

Experimental studies for charmed nuclei at J-PARC are important.

5. Summary & perspectivesPath between hadron physics and nuclear physics

Interaction between an anti-D(*) (B(*)) meson and a nucleonSY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)

Heavy quark (spin) symmetry

π exchange interaction Feshbach resonancesN

Interaction between an anti-D(*) (B(*)) meson and a nucleon

Anti-D(*) and B(*) mesons in nuclear medium

SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)

SY and Sudoh, PRC87, 105202 (2013)SY and Sudoh, PRC88, 015201 (2013)SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293 [hep-ph]

π exchange interaction

Isospin polarization

Feshbach resonances

Kondo effects

Spin-ComplexSpin degeneracy

Anti-D(*) (B(*)) meson → Probing gluon dynamics in medium

Feshbach resonances

Kondo effects

Chromoelectric & chromomagnetic gluons probed by a heavy quark

Ea, Ba

Anti-D(*) (B(*)) meson → Probing gluon dynamics in medium

Feshbach resonances

Kondo effects

Chromoelectric & chromomagnetic gluons probed by a heavy quark

Heavy quarks connect QCD and nuclear physics!!

Ea, Ba

5. Summary & perspectivesGluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc)

thr.anti-D12C (Λc

e.s.J-1/2

J+1/2s.p.s. (n2S+1LJ) of anti-D(*) (Λc)

5. Summary & perspectivesGluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc)

thr.anti-D12C (Λc

s.p.s. (n2S+1LJ) of anti-D(*) (Λc)→ Λ(n2S+1LJ), λ1(n2S+1LJ), λ2(n2S+1LJ,mQ)

scale anomaly, chromoelectric gluon, chromomagnetic gluonfor each s.p.s.

Ea, Ba

e.s.J-1/2

Let’s probe spin dynamics by charm hadrons!

thr.anti-D12C (Λc

s.p.s. (n2S+1LJ) of anti-D(*) (Λc)→ Λ(n2S+1LJ), λ1(n2S+1LJ), λ2(n2S+1LJ,mQ)

scale anomaly, chromoelectric gluon, chromomagnetic gluonfor each s.p.s.

Ea, Ba

e.s.J-1/2

Then, we can approach gluon dynamics !!!

Gluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc)

チャームハドロンの面白さとは何か？

Documents

白鳥中学校建設工事 - 郡上市 gujo...

ゲーミフィケーションとヘルスケア · 2.3....

如何面對【捨不得】的情懷 (with music)

sn 2015-11-22 教會如何面對政治

應用於 bim 科技中幾何平面切割與解構

家長如何面對十二年國教？

w3c widgets、どこが面白い？

job interview: effectively present yourself bai lu, ph.d....

【第５回】渋谷unity技術勉強会 -...

aws が面白くなる話、詰め合わせました

李白吟留别何处是天姥 -...

web touch meeting 30...

如何面對試探（二） how to face temptation, 2

網頁版面設計如何設計好網站 ?

한자 한자어 -...

ookk333311...

echelon 2014 參展心得+如何面對創投 (方白科技)

status board 面白いよ！

球面幾何学 -...

110108 yht-解開《何日君再來》蒙受不白之...

チャームハドロンの 面白さとは何か？

チャームハドロンの面白さとは何か？