The bottomonium melting from screening correlators at high temperature

Abstract

We study the bottomonium screening masses in a 2+1 flavor QCD medium on the lattice using the Highly Improved Staggered Quark(HISQ) discretization for the quarks. We focus on a wide temperature range in the region $350\mathrm{MeV}\le T<1000\mathrm{MeV}$, and perform our calculations on three different lattice spacings to control the lattice cut-off effects, corresponding to temporal lattice extent of $N_{\tau }=8,10,12$. From a detailed study of the temperature dependence of screening masses we conclude that while the ${\eta }_b(1S)$ and ${\rm Y}(1S)$ states melt at $T>500$ MeV, the scalar and axial-vector states ${\chi }_{b0}(1P)$ and $h_b(1P)$ melt already at $T>350$ MeV.

Comments: 6 pages, RevTEX, 3 figures, matches the published version