Bottomonium at Non-zero Temperature from Lattice Non-relativistic QCD

TL;DR

This study investigates how bottomonium states behave at different temperatures using lattice QCD, revealing that S-wave states are stable while P-wave states transition to free-like behavior above twice the critical temperature.

Contribution

It provides the first detailed lattice QCD analysis of bottomonium temperature dependence using non-relativistic bottom quark dynamics and relativistic light quark simulations.

Findings

S-wave bottomonium states show little temperature dependence.

P-wave propagators transition to power-law decay above 2$T_c$.

Results suggest different thermal stability for S- and P-wave states.

Abstract

The temperature dependence of bottomonium states at temperatures above and below $T_c$ is presented, using non-relativistic dynamics for the bottom quark and full relativistic lattice QCD simulations for two light flavors on a highly anisotropic lattice. We find that the S-waves ($\Upsilon$ and $\eta_b$) show little temperature dependence in this range while the P wave propagators show a crossover from the exponential decay characterizing the hadronic phase to a power-law behavior consistent with nearly-free dynamics at approximately twice the critical temperature.