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Title: Charmonium properties in deconfinement phase in anisotropic lattice QCD

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2];  [3]; ;  [4]
  1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)
  2. RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973 (United States)
  3. Department of Physics, The University of Tokyo, Tokyo 113-0033 (Japan)
  4. Department of Physics, Kyoto University, Kitashirakawaoiwake, Sakyo, Kyoto 606-8502 (Japan)

J/{psi} and {eta}{sub c} above the QCD critical temperature T{sub c} are studied in anisotropic quenched lattice QCD, considering whether the cc systems above T{sub c} are spatially compact (quasi-)bound states or scattering states. We adopt the standard Wilson gauge action and O(a)-improved Wilson quark action with renormalized anisotropy a{sub s}/a{sub t}=4.0 at {beta}=6.10 on 16{sup 3}x(14-26) lattices, which correspond to the spatial lattice volume V{identical_to}L{sup 3}{approx_equal}(1.55 fm){sup 3} and temperatures T{approx_equal}(1.11-2.07)T{sub c}. We investigate the cc system above T{sub c} from the temporal correlators with spatially extended operators, where the overlap with the ground state is enhanced. To clarify whether compact charmonia survive in the deconfinement phase, we investigate spatial boundary-condition dependence of the energy of cc systems above T{sub c}. In fact, for low-lying S-wave cc scattering states, it is expected that there appears a significant energy difference {delta}E{identical_to}E(APBC)-E(PBC){approx_equal}2{radical}(m{sub c}{sup 2}+3{pi}{sup 2}/L{sup 2})-2m{sub c} (m{sub c}: charm quark mass) between periodic and antiperiodic boundary conditions on the finite-volume lattice. In contrast, for compact charmonia, there is no significant energy difference between periodic and antiperiodic boundary conditions. As a lattice QCD result, almost no spatial boundary-condition dependence is observed for the energy of the cc system in J/{psi} and {eta}{sub c} channels for T{approx_equal}(1.11-2.07)T{sub c}. This fact indicates that J/{psi} and {eta}{sub c} would survive as spatially compact cc (quasi-)bound states below 2T{sub c}. We also investigate a P-wave channel at high temperature with maximal entropy method and find no low-lying peak structure corresponding to {chi}{sub c1} at 1.62T{sub c}.

OSTI ID:
20871325
Journal Information:
Physical Review. D, Particles Fields, Vol. 74, Issue 7; Other Information: DOI: 10.1103/PhysRevD.74.074502; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English