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QCD 2nd order Stark Effect and Heavy Quark Systems 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 BNL 2003 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, BNL 2003 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 BNL 2003 Nuclear & Hadron Physics Group at Yonsei Univ. At high T, quark and gluon condensates changes Karsch 03 The Heavy quark potential Diacommo 87, SHL 88, (Karsch et.al.) E(T=0) E(T) BNL 2003 Nuclear & Hadron Physics Group at Yonsei Univ. At finite T 1. Everything takes place only near T_c 2. Effects are difficult to observe in Heavy ion collision On the other hand, Heavy nuclei provides a constant density where, from low energy theorem BNL 2003 Nuclear & Hadron Physics Group at Yonsei Univ. Vacuum BNL 2003 Heavy Nuclei Nuclear & Hadron Physics Group at Yonsei Univ. Hydrogen Atom in external field 2nd order Stark Effect BNL 2003 Nuclear & Hadron Physics Group at Yonsei Univ. QCD 2nd order Stark Effect (proportional to dipole size) ( Peskin78; formalism. Luke Manohar 92; J/psi mass shift. SHL: BS amplitude) Mass shift at nuclear matter BNL 2003 -8 MeV -50 MeV -100 MeV -140 MeV Nuclear & Hadron Physics Group at Yonsei Univ. 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) BNL 2003 Nuclear & Hadron Physics Group at Yonsei Univ. Other Approaches for Charmonium mass shift in nulcear matter: BNL 2003 Quantum numbers QCD 2nd Stark eff. Potential model QCD sum Effects of DD loop rules 1-- Peskin, Luke, –8 MeV Brodsky et al. -10 MeV Klingle, SHL, Ko SHL,Weise <2 MeV –7 MeV 0,1,2++ SHL -40 MeV 1-- -100 MeV < 30 MeV 1-- -140 MeV < 30 MeV SHL -60 MeV No effect on chi_1 Nuclear & Hadron Physics Group at Yonsei Univ. Can we observe this? Anti-Proton Nucleus In coming energy w (for all charmonium ) (for all vector state) (for all chi states ) BNL 2003 X photon invariant mass s or J/psi-photon invariant mass Nuclear & Hadron Physics Group at Yonsei Univ. First mehtod have been used at Fermilab E835 BNL 2003 Nuclear & Hadron Physics Group at Yonsei Univ. Expected shifts from a nuclear target including Fermi momentum of the nucleons BNL 2003 Nuclear & Hadron Physics Group at Yonsei Univ. Expected shifts in the invariant mass spectrum from a nuclear target including collision broadening BNL 2003 Nuclear & Hadron Physics Group at Yonsei Univ. 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 BNL 2003 Nuclear & Hadron Physics Group at Yonsei Univ. Conclusion 1. Observing Mass shift of heavy quark system in nuclear matter (QCD 2nd order Stark effect) ⇒ give insight into QCD dynamics and physical consequences due to change in QCD vacuum. 2. Hints, (Kaczmarek, Engels, Karsch, Laermann 99) BNL 2003 Nuclear & Hadron Physics Group at Yonsei Univ.