Axial-tensor Meson Family at $T\neq0$

TL;DR

This study investigates the temperature dependence of axial-tensor meson masses and decay constants using Thermal QCD sum rules, revealing stability up to 120 MeV and significant reductions at higher temperatures.

Contribution

It provides the first analysis of axial-tensor meson properties at finite temperature including excited states and missing members within the Thermal QCD sum rules framework.

Findings

Masses decrease by 1-13% at higher temperatures.

Decay constants diminish by 10-26% with increasing temperature.

Results align with experimental data and theoretical models.

Abstract

The mass and decay constant of the axial-tensor meson nonets $\rho_2,~\omega_2$ and a missing member and also their first excited states are analyzed by the Thermal QCD sum rules model including QCD condensates up to dimension five. Mass and decay constant values in terms of variations of temperature are very well stable from $T=0$ up to ~$T \cong 120 ~\mathrm{MeV}$. However nearly after these threshold, our numerical analysis indicate that they begin to diminish with increasing temperature. Mass value of these mesons and their first excited states decrease about $(1-13\%)$ compared to vacuum values and $(10-26\%)$ for the decay constants according to PDG data and $(9-26\%)$ and $(2-34\%)$ respectively concerning Regge Trajectory Model in the corresponding Thermal QCD sum rules calculations. The experimental results are already copious, but expected to grow up at ongoing and future heavy-ion experimental programs allowing us to compare our results.