Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XI. Stabilizing neutron stars against a ferromagnetic collapse

Abstract

We construct a new Hartree-Fock-Bogoliubov (HFB) mass model, labeled HFB-18, with a generalized Skyrme force. The additional terms that we have introduced into the force are density-dependent generalizations of the usual ${t}_{1}$ and ${t}_{2}$ terms and are chosen in such a way as to avoid the high-density ferromagnetic instability of neutron stars that is a general feature of conventional Skyrme forces, and in particular of the Skyrme forces underlying all the HFB mass models that we have developed in the past. The remaining parameters of the model are then fitted to essentially all the available mass data, an rms deviation $\ensuremath{\sigma}$ of $0.585$ MeV being obtained. The new model thus gives almost as good a mass fit as our best-fit model HFB-17 ($\ensuremath{\sigma}=0.581$ MeV) and has the advantage of avoiding the ferromagnetic collapse of neutron stars.