Thermal properties of $D_2^{\ast }(2460)$ and $D_{s2}^{\ast }(2573)$ tensor mesons using QCD sum rules

Abstract

We investigate the masses and decay constants of the heavy-light $D_2^{\ast }(2460)$ and $D_{s2}^{\ast }(2573)$ tensor mesons in the framework of thermal QCD sum rules. Taking into account the additional operators arising at finite temperature, we evaluate the Wilson expansion for the two-point correlation function associated with these mesons. We observe that the values of the masses and decay constants decrease considerably at near to the critical temperature. The decay constants attain roughly to $25\%$ of their values in vacuum, while the masses decrease about $39\%$ and $37\%$ in $D_2^{\ast }$ and $D_{s2}^{\ast }$ channels, respectively.

12 Pages, 5 Figures and 1 Table