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QCD 2 nd 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. QCD Vacuum is non perturbative symmetry breaking…
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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
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,
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
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)
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
Hydrogen Atom in external field 2nd order Stark Effect
QCD 2nd order Stark Effect (proportional to dipole size) ( Peskin78; formalism. Luke Manohar 92; J/psi mass shift. SHL: BS amplitude)
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)
Other Approaches for Charmonium mass shift in nulcear matter:
Can we observe this? Anti-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
Expected shifts from a nuclear target including Fermi momentum of the nucleons
Expected shifts in the invariant mass spectrum from a nuclear target including collision broadening
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
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)