Properties of the ϕ meson at high temperatures and densities

We calculate the spectral density of the ϕ meson in a hot bath of nucleons and pions using a general formalism relating self-energy to the forward scattering amplitude (FSA) [1,2]. In order to describe the low energy FSA, we use experimental data along with a background term. For the high energy FSA, a Regge parameterization is employed. We verify the resulting FSA using dispersion techniques. We find that the position of the peak of the spectral density is slightly shifted from its vacuum position and that its width is considerably increased. The width of the spectral density at a temperature of 150 MeV and at normal nuclear density is more than 90 MeV.