Dense nuclear matter in the nonlinear sigma-omega models: effects of a strong magnetic field

Based on two nonlinear sigma-w models of nuclear matter, i.e. the Boguta an d Bodmer (BB) and the Zimanyi and Moszkowski (ZM) models, we study the gros s properties of cold symmetric nuclear matter and neutron star matter in th e relativistic mean-field theory. Contrary to the results obtained in the l inear sigma-w model and the BE model, we find that the influence of the mag netic field on the effective nucleon mass m* is not significant in the ZM m odel, therefore, we predict that the neutrons in the interior of a neutron star is impossible to be superfluid according to the BE model, while the on es might still be according to the ZM model. The other qualitative features obtained in the linear model are not changed in the nonlinear models.