Экзотические и стандартные векторные состояния...

Экзотические и стандартные векторные состояния чармония

Галина ПахловаИТЭФ, коллаборация Belle

сссс --

Семинар ИТЭФ, 11.11.09 Галина Пахлова

Conventional Charmonium in Quark Model c c

Above open charm thresholdfive conventional states are measured

• broad states are expected

Below open charm threshold all expected charmonium states are observed

• most are narrow

n(2S+1)LJ

n radial quantum number

S total spin of q-antiquark

L relative orbital ang. mom.L = 0, 1, 2 ... correspond to S, P, D

J = S + LP = (–1)L+1 parity

C = (–1)L+S charge conj.


Search for exotics: states with ... JPC forbidden for charmonium Extremely narrow width Non-zero charge [cucd], strangeness [cdcs] or both [cucs]

Obvious sign of multiquark states

─

─

─

Exotic charmoniumlike statesMultiquark states

• Molecular state

two loosely bound charm mesons• quark/color exchange at short distances

• pion exchange at large distance

• Tetraquark

tightly bound four-quark state

Charmonium hybridsStates with excited gluonic degrees of freedom

Hadro-charmonium • Specific charmonium state “coated” by excited

light-hadron matter

Threshold effects• Virtual states at thresholds

• Charmonium states with masses shifted by nearby D(*)D(*) thresholds

Exotics more easier to identify among cc and bb states ──

c c–g

u– cuc–

c c–π

π

March 1976

November 1976

πc c–uu–


X(3872)

Z(3930)

Y(3940)

X(3940)

Y(4350)

Y(4660)

Y(4260)

X(4360)

X(4160)

Y(3915)

Y(4140)Y(4350)

Z(4430)+

Z+1

Z+2

Y(4008)


Charm factoriesCLEO-c BES-IIe+e– →J/, (2S), (3770) scan 3.8-4.8 GeVL~1032/cm2/s

Belle

BaBar

TevatronD0 CDF pp collider E ~ 1.8 TeV

L~ 4fb–1 per experiment

─

B-factoriese+e–→(4S) and nearby continuum: Ecms ~ 10.6GeVL ~ 2.1x1034/cm2/s at Belle 950 + 530 fb–1 in total Belle + BaBar

Charmonium from B-meson decays, initial state radiation (ISR) , double cc production, continuum production and γγ fusion


Charmoniumlike 1– – family


Use ISR to measure open&hidden charm exclusive final states

ISR at B factories

Quantum numbers of final states are fixed JPC = 1– –

Continuous ISR spectrum:• access to the whole √s interval

• αem suppression compensated by huge luminosity

• comparable sensitivity to energy scan (CLEO-c, BES)

ee––

ee++ee++

cc

γγs =(Ecm– Eγ)2 – p2

ccee––

ee++


PRL 99, 182004 (2007)

550 fb-1

2-BW fit with interference • two solutions: different peak cross sections

Y(4008)7.4σ Y(4260)

PRL 99, 182004 (2007)

550 fb-1

2-BW fit with interference • two solutions: different peak cross sections

Y(4008)7.4σ Y(4260)

e+e–→J/ψπ+π– γISR

Y(4260)... Y(4008)?Y(4260)

454 fb-1

344±39 ev

Y(4008)

arXiv:0808.1543

NEW

Absence of open charm production is inconsistent with conventional charmonium

< 0.7 90% CL

7.5±0.9±0.8

Br(J/ψπ+π–)Γee , eV

Solution1 Y(4008) Solution2

Solution1 Y(4260) Solution2

(2S)First Y(4260)PRL 95,142001(2005)

233 fb-1

8σ

(2S)First Y(4260)PRL 95,142001(2005)

233 fb-1

8σ

Confirmed PRL 96,162003(2006)

+ J/00 (5.1σ)

11σConfirmed PRL 96,162003(2006)

+ J/00 (5.1σ)

11σPRD74,091104R(2006)

13.3 fb-15.4σ

PRD74,091104R(2006)

13.3 fb-15.4σ


Y(4360)→ψ(2S)ππ

PRL 98, 212001 (2007)

298 fb-1

Y(4660)?

e+e–→ψ(2S) π+π– γISR

Y(4360), Y(4660) ...

Absence of open charm production is inconsistent with conventional charmonium

Y(4360) 8σ

Y(4660) 5.8σ

670 fb-1

PRL 99, 142002 (2007)

2-BW fit with interference

Y(4660) 6.1σ

Y(4360)

PRD 78, 014032 (2008) Combined fit to BaBar&Belle data on e+e–→(2S) π+π– γISR

Assume all the cross sections are due to Y(4360) and Y(4660) added coherently

Br(ψ(2S)π+π–)Γee , eVSolution1 Solution2

Y(4360)

Y(4660)

Best measurements of Y(4360) and Y(4660)


Y states vs inclusive cross section e+e–→hadrons

Peak positions for M(J/) & M((2S)) significantly different

Y(4260) mass corresponds to dip in inclusive cross section

y(3

770)

if Ruds=2.285±0.03 Durham Data Base

Y(4

008)

y(4

040)

y(4

160)

Y(4

260)

Y(4

325) y

(441

5)

Y(4

660)

ψ(3

770)

if Ruds=2.285±0.03 Durham Data Base

Y(4

008)

ψ(4

040)

ψ(4

160)

Y(4

260)

Y(4

360) ψ

(441

5)

Y(4

660)

R(s) = σ(e+e–→hadrons)/σ(e+e–→μ+μ–) – Ruds


Potential models & Y states

No room for Y states among conventional 1– – charmonium S.Godfrey and N.Isgur PRD32,189 (1985)

33S1 = (4040)

23D1 = (4160)

43S1 = (4415)

masses of predicted

33D1 (4520)

53S1 (4760)

43D1(4810) are higher (lower)

4260

4660

4008

4350


Interpretations of Y states

Y(4360) &Y(4660) are conventional charmonia with shifted masses• Y(4360) = 33D1 , Y(4660) = 53S1

G.J Ding, J.J.Zhu, M.L.Yan, Phys.Rev.D77,014033 (2008) A.M.Badalyan, B.L.G.Bakker, I.V.Danilkin, Phys.Atom.Nucl.72,638,(2009)

• 43S1 ≠ ψ(4415) = 43D1(4661); Y(4360)=43S1(4389) , Y(4660)=53S1 (4614) or 43D1(4661)J.Segovia, A.M.Yasser, D.R.Entem, F.Fernandez Phys.Rev.D78,114033,(2008).

Charmonium hybrids Zhu S.L.; Close F.E.; Kou E. and Pene O.

• The lightest hybrid is expected by LQCD around 4.2 GeV• The dominant decays Y(4260)→D(*)D(*)π, via virtual D**

Hadro-charmonium • Specific charmonium state “coated” by excited light-hadron matter

S.Dubinskiy, M.B.Voloshin, A.Gorsky

Multiquark states• [cq][cq] tetraquark Maiani L., Riquer V., Piccinini F., Polosa A.D. • DD1 or D*D0 molecules Swanson E.; Rosner J.L., Close F.E.

Heavy meson hadronic molecules • Y(4660) is ψ(2S)f0(980) bound state

F.K.Gou,C.Hanhart, S.Krewald,U.G.Meissner

S-wave charm meson thresholds Lui X.


Inclusive cross section e+e– → hadrons

Parameters of the JPC = 1– – conventional

charmonia ψ(3770), ψ(4040), ψ(4160), ψ(4415)

M, Γtot, Γee remain quite uncertain

and model dependent

To fix the resonance parameters we need to know their decay channels to take into account their interference:

• non-resonant contribution• many open charm thresholds


All possible two-body decays of ψ(3770), ψ(4040), ψ(4160), ψ(4415) are included

M, MeV Γtot , MeV Γee , keV δ, deg

ψ(3770) 3772.92 ± 0.35 27.3 ± 1.0 0.265 ± 0.018 PDG09

3772.0 ± 1.9 30.4 ± 8.5 0.22 ± 0.05 0 BES08

ψ(4040) 4039 ± 1 80 ± 10 0.86 ± 0.07 PDG09

4039.6 ± 4.3 84.5 ± 12.3 0.83 ± 0.20 130 ± 46 BES08

ψ(4160) 4153 ± 3 103 ± 8 0.83 ± 0.07 PDG09

4191.7 ± 6.5 71.8 ± 12.3 0.48 ± 0.22 293 ± 57 BES08

ψ(4415) 4421 ± 4 62 ± 20 0.58 ± 0.07 PDG09

4415.1 ± 7.9 71.5 ± 19.0 0.35 ± 0.12 234 ± 88 BES08

Significant effect of interference : model dependent!

To reduce model dependence

we need to measure exclusive cross sections to

open charm final states

Resonance shapes Interference term

Rres=RBW+Rint

Phys.Lett.B660,315(2008) BES fit to the inclusive R spectrum


Potential models & ψ states

Mass spectrum• In general agreement with data

Open charm decays • via nonperturbative gluodynamics

• difficult to compute • good probes of strong QCD

Only inclusive measurements

More theoretical and experimental efforts are required

?

?

?

Width, GeVWidth, GeV

E.Swanson, Phys.Reports 429(2006)


Full reconstruction of hadronic part

ISR photon detection is not required

• but used if it is in the detector acceptance

Translate measured DD mass spectrum to cross section

e+e– →DD via ISR with full reconstruction

e–

e+

not reconstructed

if undetectable

e+

DD

reconstructed

DD

γ

–


Phys.Rev. D76, 111105(2007)

σ(e+e− →DD)Phys.Rev.D77,011103(2008)

Phys.Rev. D80, 072001(2009)

• Broad structure around 3.9 GeV • in qualitative agreement with coupled-channel model?

• Some structure at 4.0-4.2 GeV • Statistics are small …ψ(4040)? ψ(4160)?

• Hint of ψ(4415)

σ(ee D0D0)/σ (eeD+D−) at MDD≈M(3770)

Belle: 1.390.310.12 BaBar: 1.78 ± 0.33 ± 0.24 CLEO07 1.258 ± 0.016 ± 0.014 BES06 1.27 ± 0.12 ± 0.08

PDG08 1.260 ± 0.021


Anomalous line-shape of σ(e+e–→hadrons) around 3.77 GeV

(3770) is assumed to be a mixture of 3D1 – 23S1 cc eigenstates

Re-analysis of BES 2003 data between 3.65 and 3.872 GeV

observed cross section - fit with one (3770) error of the observed cross section

arXiv:0807.0494

Two states or DD production dynamics? ─

• inconsistent with one (3770)blue line

Fit by two P-wave BW • with complete interference 7.6 σ green line

• without interference 7σ yellow line

• interference with G(3900) structure seen in σ(e+e–→DD) by BaBar&Belle red line

─

BES: B((3770)→non-DD )=(14.5±1.7±5.8)%Sum of measured non-DD < 2%Theory non-DD < 5%


New study of ψ(3770) →DD

in e+e− →DD

Fit to BES, Belle, BaBar e+e− →DD cross section data from 3.74 to 4.4 GeVInclude contributions of ψ(3770), ψ(4040), ψ(4160), G(3900) and continuum taking into account their interference;

• Breit-Wigners for ψ states and Gaussian for G(3900) • the continuum is explained as tail of ψ(2S) with M= 3686.09 MeV

Parameters of ψ(4040), ψ(4160), ψ(2S) are fixed from PDG , parameters of ψ(3770) and G(3900) are set free

M ψ(3770) 3776 ± 1 MeVPDG08 fit 3772.92 ± 0.35 MeVΓ ψ(3770) 28.5 ± 2.2 MeV PDG08 fit 27.3 ± 1.0 MeV

M G(3900) 3900 ± 20 MeVΓ G(3900) 52 ± 23 MeV

H.B.Li, X.S.Qin, M.Z.Yang; arXiv 0910.4278[hep-ph]

May solve non-DD problem,more date is needed, detailed scan at BESIII to be done

Factor of 4 less than Swanson’s predictions


D+D*– & D*+D*– D*– partial reconstruction • increase eff ~ 10-20 times

Detection of ISR photon

Translate measured mass recoil against γISR ≡ D(*)+D*– mass spectrum to cross section

e+e– →D(*)+D*–

via ISR with partial reconstruction

D(*)

+

γe–

D0

D*–π–

e+

e–

reconstructed

not reconstructed

but constrained


Exclusive e+e–→D(*)D* cross-sectionsPhys.Rev. D80, 072001(2009)

ψ(4160)

ψ(4040)

ψ(4160)

ψ(4040)

D*D* •complicated shape of cross section •clear dip at M(D*D*) ~ 4.26 GeV (similar to inclusive R)

DD* •broad peak at threshold (shifted relative to 4040 GeV)

Only statistical errors Systematic errors are similar

D*+D*-

D+D*-

Phys. Rev. Lett. 98, 092001 (2007)

Y(4260)

ψ(4160)

ψ(4040)

ψ(4415)

550fb–1


• Full reconstruction of hadronic part• Both charged and neutral final states • Fit by sum of ψ states with fixed masses&widths from PDG (due to limited statistics)

BaBar: e+e−→D(*)D*

No evidence is found for Y(4260)→ DD, DD*,D*D*

DD

DD*

D*D*

384 fb-1

Phys.Rev. D79, 092001(2009)

Br ratios seem to disagree with potential models … … uncertainties are too large


Belle vs BaBar: σ(e+e−→D(*)D*)

Phys.Rev. D79, 092001(2009)

Phys. Rev. Lett. 98, 092001 (2007)

Sum of two body open charm final states

Belle & BaBar results are in very good agreement


D0 D(*)− π+

Full reconstruction of hadronic part

ISR photon detection is not required

• but used if it is in the detector acceptance

Translate measured DD(*)π mass spectrum to cross section

Three-body final states

DD(*(*

))

e–

e+

not reconstructed

if undetectable

e+

DD

ππ

reconstructed

γ


e+e− D0D–+ at s ~ 4−5 GeV via ISR

Clear ψ(4415) →DDπ signal

Consistent with ISR production

670 fb-1

Phys.Rev.Lett.100,062001(2008)


Resonant structure in (4415)D0D–+

Br((4415) D(D)non D2(2460))/Br((4415) DD*2(2460))<0.22

M(D0π+) vs M(D–π+) from ψ(4415) region Clear D*

2(2460) signals No non-D*

2(2460) contribution

DDπ non DD*2(2460)

DD*2(2460)

~10σ

670 fb-1

Phys.Rev.Lett.100,062001(2008)

σ(e+e–→ψ(4415))×Br(ψ(4415)→DD*2(2460))×Br(D*

2(2460) →Dπ) = (0.74 ± 0.17 ± 0.07)nb

M = 4411 ± 7 MeVΓtot = 77 ± 20 MeV

Nev= 109 ± 25

Consistent with BES,Phys.Lett.B660,315(2008)

PDG06, Barnes at.al Phys. Rev. D72, 054026 (2005)


Reconstruct Λc+

Use antiproton tag from inclusive Λc–→p–X

Br(Λc+→pX) = (50±16)%

• combinatorial background suppressed by ≈ 10

Detect the high energy ISR photon

Translate measured mass recoil against γISR ≡ Λc+ Λc

– mass spectrum to cross section

Partial reconstruction with anti-proton tag

The first charm baryons

final state

p–

X

reconstructede–

e+

not reconstructed

Λc–

e+

γ

X

Λc+


e+e–→Λc+Λc

– γISR

Λ c sidebands

Mrecoil(Λc+γISR)

Λc

Λc(2625)Λc(2595)

Λc(2765)Λc(2880)

no Σ–

partial reconstruction with p tag ─

Clear peak in Mrec(Λc+γISR )

distribution at Λc massAt mass > 2.5 GeV/c2

contributions from Λc+Λc

–π0 • could proceed via Λc

+Σ– ; violates isospin and should be strongly suppressed

and Λc+Λc

–π π • could proceed via Λc

+Λc(2595)–, Λc

+Λc(2625)–, Λc+Λc(2765)–,

Λc+Λc(2880)–

Total refection contributions < 5% (included in systematics)

Look at Mrecoil(γISR) ≡ Mass spectra of Λc

+Λc–

670 fb-1

X(4630) 8.2σ

Phys.Rev.Lett.101,172001(2008)

e+e–→Λc+Λc

– γISR


PRL 99,142002(2007)

ee→ΛΛ via ISR

PRD73,012005(2006)

ee→pp via ISR

PRL 99,142002(2007)

ee→ΛΛ via ISR

PRD73,012005(2006)

ee→pp via ISR

• no peak-like structure

• X(4630) = Y(4660) = = charmonium state 53S1 or 43D1 J.Segovia, A.M.Yasser, D.R.Entem, F.Fernandez

• Charmonium state 63S1 B.Q.Li and K.T.Chao

• Threshold effect E.Beveren, G.Rupp

•Y(4660) =ψ(2S)f0(980) bound state F.K.Gou,C.Hanhart, S.Krewald,U.G.Meissner

• Point-like baryons R.B.Baldini, S.Pacetti, A.Zallo

• X(4630) = Y(4660) D.V.Bugg

• X(4630) = Y(4660) = = tetraquark D.Ebert, R.N.Fausov, V.O. Galkin

• X(4630) ≡ Y(4660)? JPC=1– –

e+e–→Λc+Λc

– γISR

Phys.Rev.Lett.101,172001(2008) Interpretations for X(4630)

PRL 97, 242001 (2006)

6.2σ B–→Λc+p π–─

PRL 97, 242001 (2006)

6.2σ B–→Λc+p π–─

• dibaryon threshold effect?• like in B→pΛπ, J/ψ→γpp


Searching for hybridsvia their

favorite decay modes


e+e− D0D*–+ at s ~ 4−5 GeV via ISR

Combinatorial bgs are estimated from sidebands D and D*

Other bgs are small and taken into account

Small efficiency at threshould

Full reconstructionNo extra tracksDetection of γISR is not required • if γISR is detected • M(D0D*–+γISR) is required ~ Ecm

Consistent with ISR production

γISR is not detected

γISR is detected

670 fb-1

arXiv:0908.0231


in e+e– → D0 D*–π+ γisr

D1(2420)0 → D*– π+ ← D2(2460)

D0 D*–π+ from D0D1(2420)0 & D0D2(2460)0

e+e– →ψ(4415) → D0D2(2460)0 → D0 D–π+ is measured Main problem is to separate D0D1(2420)0 from D0D2(2460)0

• D1(2420)0 : Γtot = 20.4 ± 1.7 MeV

• D2(2460)0 : Γtot = 43 ± 4 MeV (PDG08)

Both DD1 & D*D2 are seen ...but the statistics is not enough to study their mass spectra!

DD*π & DD1 &D*D2

2420

2460

D0 π + D*–π+


ψ(4415)

Upper Limit No evident structures: only UL’s !Baseline fit:• RBW for (4415) & threshold

function for non-resonant contribution without interference between amplitudes

To obtain limits on XD0D*–+, X=Y(4260), Y(4360), Y(4660), X(4630)

perform four fits each with one of the X states, (4415) and non-resonant contribution

Fix masses and total widths from PDG

Exclusive e+e− D0D*–+ cross-section

σ(e+e–→ψ(4415))×Br(ψ(4415)→D0D*–π+)< 0.76 nb at 90% CLBr(ψ(4415)→ D0D*–π+) < 10.6 % at 90% CL

Interference could increase these UL’s by factors of 2−4 depending on the final state (for destructive solutions)

UL at 90% CL

Y(4260)

ψ(4415)

arXiv:0908.0231


Contribution to the

inclusive cross section

D*D*

DDπ

DD*

DD

Λ c+ Λ c

–

DD* π


Y states vs exclusive cross sectionsY(4008) mass coincides with DD* peak

Y(4260) mass corresponds to dip in D*D* cross section

Around Y(4360) mass all measured cross sections are smooth

Y(4660) mass is close to Λc+Λc

– peak

Signigicant “peak-like” enhancement near 3.9 GeV in ee→DD

σ(e+e–→open charm) via ISRD*D*

DD*

ψ(4

040)

ψ(4

160)

Y(4

008)

ψ(4

415)

Y(4

660)

Y(4

260)

Y(4

360)

DD

DDπ

Λc+Λc

–

?

PRD77,011103(2008)

PRL100,062001(2008)

PRL98, 092001 (2007)

PRL101,172001(2008)

DD*π arXiv:0908.0231

E.Eichten, et al Phys.Rev D21, 203,(1980)

coupled channel effect? or something else?

30 years ago!


DD DD* D*D*

DDπ

DD*π

Λ+c Λ–

c

Sum of all exclusive contributions

Only small room for unaccounted contributions• Charm strange final states

Limited inclusive data above 4.5 GeV• Charm baryons final states


How to fit measured

cross section?

Four (five?) ψ states, five (three?) Y states

and at least11 open charm

thresholds!

S.Godfrey, arXiv:0910.3409 [hep-ph]


Cornell Coupled Channel model: R in the threshold region E.Eichten QWG08

Complicated thresholds behaviourNeed improved model to describe standard and to search for new states

arXiv:0801.3418


In conclusion

cc


Six exclusive open charm final states are measured

DD, D*D, D*D*, DDπ, DD*π, ΛcΛc

Their sum is close to e+e– → hadrons

Belle & BaBar & Cleo cross section measurements are nicely consistent with each other

In charm meson final states no evident peaks corresponding to members of charmoniumlike 1– – family are found !

ΛcΛc

• enhancement at threshold, quantum numbers, mass and width are consistent with Y(4660)

• Various interpretations

... it’s time to describe these data by realistic common fit and to extract realistic parameters of ψ states ...

Experiment


Theoretical efforts to describe charm components of inclusive cross section are kindly requested!

All presented cross sections can be

found in Durham Data Base


Спасибо

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