Paramagnetism of hot magnetic neutron gas

Physics

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Scientific paper

Spontaneous magnetization and susceptibility of a noninteracting system of chargeless relativistic spin- 1/2 magnetic moments in the presence of an intense magnetic field are calculated. We find that spontaneous magnetization is unlikely to occur and that the susceptibility parameter (χ) obeys Curie-type behavior at high temperature (T), namely χ=(12)(NkT)μN2, where N is the number density, k is the Boltzmann constant, and μN is the anomalous magnetic moment of the spin- 1/2 object. These results are of direct interest to a neutron star where neutrons are considered to be the predominant constituent of matter and on its surface a magnetic field of strength ~ 1013 G is present. We also obtain the temperature-dependent corrections to the energy and number density of an ultradegenerate cold neutron star, which are necessary in connection with the equation of state of a hot neutron star.

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