Vector meson spectral function and dilepton rate in an effective mean field model

TL;DR

This study investigates the vector meson spectral function and dilepton production rate in hot, dense media using effective QCD models, revealing enhancements at moderate temperatures due to suppression of color degrees of freedom.

Contribution

It introduces the effects of isoscalar vector interaction in the PNJL model on the vector meson spectral function and dilepton rate, comparing with NJL and Born rates.

Findings

Dilepton production rate is enhanced in the PNJL model at moderate temperatures.

Isoscalar vector interaction influences the spectral function and dilepton rate.

Color degree suppression affects dilepton yield in hot dense media.

Abstract

We have studied the vector meson spectral function (VMSF) in a hot and dense medium within an effective QCD model namely the Nambu-Jona-Lasinio (NJL) and its Polyakov Loop extended version (PNJL) with and without the effect of isoscalar vector interaction (IVI). The effect of the IVI has been taken into account using the ring approximation. We obtained the dilepton production rate (DPR) using the VMSF and observed that at moderate temperature it is enhanced in the PNJL model as compared to the NJL and Born rate due to the suppression of color degrees of freedom.