On the possibility of rho-meson condensation in neutron stars

We study the possibility of vector (rho(-)) meson condensation in dense matter subject to strong magnetic fields. For this purpose, we adopt a standard relativistic equation of state (GM3). We find that rho-meson condensates can appear in the core of the neutron star as the rho mass decreases with density and magnetic field. For reasonable values of the parameters, the rho condensate can appear in a neutron star at 4.4 times the normal nuclear matter density. This number guarantees a sizeable portion of the star to have a rho-condensed phase.