$\rho$-meson spectral function in hot asymmetric nuclear matter

Abstract

The $\rho$-meson spectral function in hot and dense asymmetric nuclear matter (number densities of proton and neutron different) is evaluated in an effective chiral SU(3) model within the mean field approximation (MFA). The dependence of the vector meson masses on density and temperature, their variation with the asymmetry parameter, the form of the spectral function when the $ p \longleftrightarrow n$ symmetry is broken are studied. One can observe a clear splitting of the longitudinal and the transverse modes among the $\rho$ isospin multiplets. The role of a running tensor coupling on the spectral function is also studied.