Heavy Scalar, Vector and Axial-Vector Mesons in Hot and Dense Nuclear Medium

TL;DR

This paper investigates how scalar, vector, and axial-vector mesons' masses change in hot and dense nuclear media using QCD sum rules and chiral models, relevant for heavy-ion collision experiments.

Contribution

It introduces a combined approach using chiral SU(3) model and QCD sum rules to evaluate in-medium meson properties at finite density and temperature.

Findings

Meson masses decrease with increasing density and temperature.

Medium modifications affect scattering lengths of mesons.

Results are relevant for heavy-ion collision experiments at FAIR.

Abstract

In this work we shall investigate the mass modifications of scalar mesons $\left( D_{0}, B_{0}\right)$,vector mesons $\left( D^{\ast}, B^{\ast}\right)$ and axial-vector mesons $\left(D_{1}, B_{1}\right)$ at finite density and temperature of the nuclear medium. The above mesons are modified in the nuclear medium through themodification of quark and gluon condensates. We shall find the medium modification of quark and gluon condensates within chiral SU(3) model through the medium modification of scalar-isoscalar fields $\sigma$ and $\zeta$ at finite density and temperature. These medium modified quark and gluon condensates will further be used through QCD sum rules for the evaluation of in-medium properties of above mentioned scalar, vector and axial vector mesons. We shall also discuss the effects of density and temperature of the nuclear medium on the scattering lengths of above scalar, vector and axial-vector mesons. The study of the medium modifications of above mesons may be helpful for understanding their production rates in heavy-ion collision experiments. The results of present investigations of medium modifications of scalar, vector and axial-vector mesons at finite density and temperature can be verified in the Compressed Baryonic Matter (CBM) experiment of FAIR facility at GSI, Germany.