J. P. W. Diener, F. G. Scholtz
Ferromagnetism in neutron as well as beta equilibrated charge neutral dense nuclear matter is investigated using a model of interacting baryons and mesons. The standard minimal couplings between the magnetic field and the particle charges, as well as the baryon dipole moments, are included in the Lagrangian density. Minimizing the energy density with respect to the magnetic field yields a self-consistent expression for the magnetic field. The ferromagnetic phase boundary is calculated by increasing the strength of the proton and neutron dipole moments by the same factor at a fixed baryon density till the energy density of magnetized matter is lower than that of unmagnetized matter. We find that, depending on the density, the ferromagnetic phase is preferred at around 35 times the value of the normal observed baryon dipole moments. Crossing the phase boundary also induces a magnetic field of the order of 10^{17} gauss in the matter. The phase boundary was found to be dependent on the details of the model.
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http://arxiv.org/abs/1306.2175
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