Color screening in a constituent quark model of hadronic matter

Abstract

The effect of color screening on the formation of a heavy quark-antiquark ($Q\bar{Q}$) bound state--such as the $J/\psi$ meson--is studied using a constituent-quark model. The response of the nuclear medium to the addition of two color charges is simulated directly in terms of its quark constituents via a string-flip potential that allows for quark confinement within hadrons yet enables the hadrons to separate without generating unphysical long-range forces. Medium modifications to the properties of the heavy meson, such as its energy and its mean-square radius, are extracted by solving Schrödinger's equation for the $Q\bar{Q}$ pair in the presence of a (screened) density-dependent potential. The density dependence of the heavy-quark potential is in qualitative agreement with earlier studies of its temperature dependence extracted from lattice calculations at finite temperature. In the present model it is confirmed that abrupt changes in the properties of the $J/\psi$-meson in the hadronic medium ({\it plasma}), correlate strongly with the deconfining phase transition.

7 pages, 3 figures, submitted to PRC for publication, uses revtex4

References in corpus (8)

• Behavior of Charmonium Systems after Deconfinement
• Statistical hadronization of charm in heavy-ion collisions at SPS, RHIC and LHC
• J/Psi Production in Au-Au Collisions at sqrt(s_NN) = 200 GeV at the Relativistic Heavy Ion Collider
• A Study of Charmonium Systems across the Deconfinement Transition
• An assessment of J/Psi formation in the light of initial RHIC data
• Theoretical Overview on (Hidden) Charm in High-Energy Heavy-Ion Collisions
• Charmonium near the deconfining transition on the lattice
• Quest for the Quark-Gluon Plasma

Cited by in corpus (2)

• Dynamical quark recombination in ultrarelativistic heavy-ion collisions and the proton to pion ratio
• Dynamical transition between two mesons and a tetraquark