Bottomonium spectrum at finite temperature

TL;DR

This study examines how bottomonium S and P wave states change at finite temperature, revealing P wave dissociation just above the crossover temperature while S wave states persist up to nearly twice that temperature.

Contribution

It provides new spectral function analysis showing differential thermal stability of bottomonium states across the deconfinement transition.

Findings

P wave $ ext{χ}_{b1}$ ground state dissociates just above $T_c$

S wave $ ext{Υ}$ ground state remains stable up to nearly $2T_c$

Supports earlier findings on bottomonium state dissociation patterns

Abstract

We investigate the modification of S and P wave states in the bottomonium spectrum above and below the deconfinement crossover temperature through their spectral functions obtained from the maximum entropy method. Anisotropic ensembles with $N_f=2+1$ Wilson clover fermions with tadpole-improvement are used while the bottom quark is treated with an improved non-relativistic action. We observe significant modifications of the P wave $\chi_{b1}$ ground state directly above the crossover temperature, $T_c$, while the S wave $\Upsilon$ ground state remains relatively unchanged up to temperatures of almost $2T_c$. This evidence supports earlier conclusions from our FASTSUM collaboration of the immediate dissociation of the P wave states above $T_c$ and the survival of the S wave ground states up to $2T_c$.