Abstract
We present lattice non-relativistic QCD calculations of bottomonium correlation functions at temperatures $T \simeq 150-350$ MeV. The correlation functions were computed using extended bottomonium operators, and on background gauge-field configurations for 2+1-flavor QCD having physical kaon and nearly-physical pion masses. We analyzed these correlation functions based on simple theoretically-motivated parameterizations of the corresponding spectral functions. The results of our analyses are compatible with significant in-medium thermal broadening of the ground state S- and P-wave bottomonia.
Highlights
At temperatures above the chiral cross-over temperature Tc 1⁄4 156.5 Æ 1.5 MeV [1] hadrons start to melt and chiral symmetry gets restored
It has been conjectured by Matsui and Satz that color screening will eventually lead to melting of quarkonia, and suppression of quarkonium production in heavy ion collisions can serve as signals of formation of deconfined medium in such collisions [2]
We interpolate the kinetic mass of the ηb in Mibn and determine the physical value of the mass parameter by requiring that Mkin 1⁄4 MPηbDG, MPηbDG being the experimental value of the ηb mass from Particle Data Group (PDG) [37]
Summary
At temperatures above the chiral cross-over temperature Tc 1⁄4 156.5 Æ 1.5 MeV [1] hadrons start to melt and chiral symmetry gets restored. It has been pointed out that Euclidean correlation functions have limited sensitivity to the inmedium quarkonium properties and/or their melting [14,15], because the maximal time extent is limited to τmax 1⁄4 1=ð2TÞ and becomes small at high temperature [c.f., Eq (1)]. The maximal time extent at nonzero temperature is τmax 1⁄4 1=T, i.e., twice larger than in the relativistic case For this reason, the meson correlators in. All the lattice NRQCD studies at nonzero temperature have used pointlike meson operators for computations of the quarkonium correlation functions. We explore the temperature dependence of bottomonium correlators corresponding to extended meson sources within lattice NRQCD.
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