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

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 $T_c\simeq 160\sim 200\text{MeV}$. 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 ${\mu }_0/\kappa \approx 2.2\sim 2.4\text{GeV}$.

Comments: 13 pages, 4 figures