Characteristics of a Degenerate Neutron Gas in a Magnetic Field with Allowance for the Anomalous Magnetic Moment of the Neutron

Аннотация

General expressions for the dependence of the Fermi energy, pressure, and total energy of a degenerate neutron gas in a magnetic field on the magnitude of the field and the neutron concentration with allowance for the anomalous magnetic moment of the neutron have been obtained in implicit form, and the dependence of these quantities on the field is presented in graphical form for the neutron concentration C = 10³⁸ cm^–3, which is typical for neutron stars. Analytical estimates of the pressure have been made for the magnitude of the fields possible in neutron stars ~10¹⁷–10¹⁹ G and this neutron concentration ~10³⁸ cm^–3, including when the neutron gas is close to its saturated state with preferred orientation of the anomalous magnetic moment of all the neutrons in alignment with the field. It is found that even such fields ~10¹⁷ G have practically no effect on the pressure in comparison with the case when the field is absent, an effect being possible only for В ~ 10¹⁸–10¹⁹ G. The analytical dependence on the neutron concentration of the corresponding field B_S at which the neutron gas transitions to the saturated state has been found in explicit form. It is established that for B > B_S the indicated characteristics of the neutron gas, and likewise its state, no longer change.