Symmetry Breaking for Rho Meson in Neutron Matter

Qualitative changes in the collective excitation spectra of the $\rho$-meson triplet in neutron matter is studied, with particular emphasis on the breaking of the discrete $p\leftrightarrow n$ symmetry. The appearance of additional branches in the dispersion characteristics, the mass splitting among the charge states, the splitting between longitudinal and transverse modes of the $\rho^{\pm}$ mesons and the appearance of `island' modes (or loops) in the time-like region are some of the features that are exposed.