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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

Su Houng Lee, Yonsei Univ.Su Houng Lee, Yonsei Univ.

P.Morath, S.Kim, SHL, W.Weise, PRL 82 (99) 3396

S. Kim, SHL, NPA 679 (01) 517

Y.Oh, S Kim, SHL, PRC 65 (02) 067901

SHL, C.Ko, PRC 67 (03) 038202

QCD 2QCD 2ndnd order Stark Effect order Stark Effect and Heavy Quark Systems and Heavy Quark Systems

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

QCD Vacuum is non perturbative

symmetry breaking…

Light Hadron masses are O(GeV)

whereas light quark masses are less than 10 MeV

The lowest dimensional QCD Operator characterizing the non perturbative vacuum are,

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

Light quark propagation in QCD Vacuum (QCD OPE)

+ ………….. Sensitive to vacuum quark and

gluon field configuration at small q

rho mass (770MeV), nucleon (938MeV)

Heavy quark propagation in QCD Vacuum (QCD OPE)

At heavy quark limit, sensitive to vacuum gluon field configuration

J/psi eta_c mass difference

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

At high T, quark and gluon condensates changes

Karsch 03 Diacommo 87, SHL 88,

The Heavy quark potential (Karsch et.al.)

E(T=0)

E(T)

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

At finite T

1. Everything takes place only near T_c1. Everything takes place only near T_c

2. Effects are difficult to observe in Heavy ion collision2. Effects are difficult to observe in Heavy ion collision

On the other hand, Heavy nuclei provides a constant density where, from low energy theorem

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

Vacuum Heavy Nuclei

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

Hydrogen Atom in external fieldHydrogen Atom in external field

2nd order Stark Effect

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

QCD 2QCD 2ndnd order Stark Effect order Stark Effect (proportional to dipole size)(proportional to dipole size)

( Peskin78; formalism. Luke Manohar 92; J/psi mass shift. SHL: BS amplitude)

Mass shift at nuclear matter

-8 MeV

-50 MeV

-100 MeV

-140 MeV

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

How reliable is the LO QCD result?How reliable is the LO QCD result?(If same formalism is applied to Charmonium absorption by nucleon)

Peskin, Bhanhot (78)Kharzeev, Satz (95)SHL,Y.Oh,S.Kim (01)

consistent with anaylsis of Fermilab p-A data at 10 GeV center of mass energy

by Hufner and Kopeliovich (00)

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

Other Approaches for Charmonium mOther Approaches for Charmonium mass shift in nulcear matter:ass shift in nulcear matter:

Quantum numbers

QCD 2nd Stark eff.

Potential model

QCD sum rules

Effects of DD loop

1-- Peskin, Luke, –8 MeV

Brodsky et al. -10 MeV

Klingle, SHL,Weise –7 MeV

SHL, Ko<2 MeV

0,1,2+

+

SHL -40 MeV

SHL -60 MeV

No effect on chi_1

1-- -100 MeV < 30 MeV

1-- -140 MeV < 30 MeV

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

Can we observe this?Can we observe this?Anti-Proton NucleusAnti-Proton Nucleus

In coming energy w (for all charmonium )

X (for all vector state) photon invariant mass s

(for all chi states ) or J/psi-photon invariant mass

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

First mehtod have been used at Fermilab First mehtod have been used at Fermilab

E835

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

Expected shifts from a nuclear target including FExpected shifts from a nuclear target including Fermi momentum of the nucleons ermi momentum of the nucleons

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

Expected shifts in the invariant mass spectrum from a Expected shifts in the invariant mass spectrum from a nuclear target including collision broadeningnuclear target including collision broadening

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

Such experiment can be done at Such experiment can be done at 1. Fermi Lab (E835) ⇒ Changing to a nuclear Target. 2. GSI planned accelerator facility ⇒ anti proton project (1-15 GeV)

SIS100/200

HESR

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Nuclear & Hadron Physics Group at Yonsei Univ.Nuclear & Hadron Physics Group at Yonsei Univ.

ConclusionConclusion1. Observing Mass shift of heavy quark system in nuclea1. Observing Mass shift of heavy quark system in nuclea

r matter (QCD 2r matter (QCD 2ndnd order Stark effect) order Stark effect)

⇒ give insight into QCD dynamics and

physical consequences due to change in QCD vacuum.

2. Hints, (Kaczmarek, Engels, Karsch, Laermann 99)