Spectrum of the heavy axial vector \chi_b1(1P) and \chi_c1(1P) mesons in thermal QCD

TL;DR

This paper investigates how the masses and decay constants of heavy axial-vector mesons 1 and 1 change with temperature using thermal QCD sum rules, revealing stability up to 100 MeV and sharp declines near the critical temperature.

Contribution

It introduces a calculation of heavy axial-vector meson properties at finite temperature incorporating two-loop alpha_s corrections and nonperturbative effects within thermal QCD sum rules.

Findings

Masses remain stable up to  MeV

Decay constants sharply decrease after  MeV

Both quantities approach zero near the critical temperature

Abstract

Using the additional operators coming up at finite temperature, we calculate the masses and decay constants of the P wave heavy axial-vector \chi_b1 and \chi_c1 quarkonia in the framework of thermal QCD sum rules. In the calculations, we take into account the perturbative two loop order alpha_s corrections and nonperturbative effects up to the dimension four condensates. It is observed that the masses and decay constants almost remain unchanged with respect to the variation of the temperature up to T \simeq 100 MeV, however after this point, the decay constants decrease sharply and approach approximately to zero at critical temperature. The decreasing in values of the masses is also considerable after T \simeq 100 MeV .