Thermal Mass Spectra of Scalar and Pseudo-Scalar Mesons in IR-improved Soft-Wall AdS/QCD Model with Finite Chemical Potential

TL;DR

This paper investigates how finite temperature and chemical potential affect the thermal mass spectra of scalar and pseudo-scalar mesons using an IR-improved soft-wall AdS/QCD model with a Reissner-Nordstrom AdS black hole metric, revealing meson dissociation conditions.

Contribution

It introduces a novel IR-improved soft-wall AdS/QCD model incorporating finite temperature and density effects via a Reissner-Nordstrom AdS black hole metric, analyzing meson spectral behavior.

Findings

Meson peaks shift to smaller values with increasing temperature.

Peak widths broaden as temperature rises.

Critical temperature for meson dissolution is around 160-200 MeV.

Abstract

The thermal mass spectra of scalar and pseudo scalar mesons are studied in an IR-improved soft-wall AdS/QCD model. The Reissner-Nordstrom AdS black hole metric is introduced to describe both the finite temperature and density effects. The thermal spectral function is computed, which shows that the position of peak moves towards a smaller value and the width of peak also broadens to a larger value as the temperature increases. The critical temperature at which the peaks are completely dissolved has been found to be around $T_{c}\simeq 160\sim 200\MeV$. The effect of chemical potential is shown to be the same as the one caused by the temperature. It is found that when the temperature approaches to zero $T\approx 0$, the melting down of mesons occurs at the scaled critical chemical potential $\mu_0/\kappa\approx 2.2\sim 2.4 \GeV$.