Lattice NRQCD study of in-medium bottomonium states using $N_f = 2+1, 48^3 \times 12$ HotQCD configurations

Abstract

The behavior of bottomonium state correlators at non-zero temperature, $140.4 (\beta = 6.664) \le T \le 221 (\beta = 7.280)$ (MeV), where the transition temperature is $154(9)$ (MeV), is studied, using lattice NRQCD on $48^3 \times 12$ HotQCD HiSQ action configurations with light dynamical $N_f = 2 + 1$ ($m_{u,s}/m_s = 0.05$) staggered quarks. In order to understand finite temperature effects on quarkonium states, zero temperature behavior of bottomonium correlators is compared based on $32^4$ ($\beta = 6.664, 6.800$ and $6.950$) and $48^3 \times 64$ ($\beta = 7.280)$ lattices. We find that temperature effects on S-wave bottomonium states are small but P-wave bottomonium states show a noticeable temperature dependence above the transition temperature.