Characteristics of a Degenerate Neutron Gas in a Magnetic Field with Allowance for the Anomalous Magnetic Moment of the Neutron
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 = 10{sup 38} cm{sup –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 ~10{sup 17}–10{sup 19} G and this neutron concentration ~10{sup 38} cm{sup –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 ~10{sup 17} 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 ~ 10{sup 18}–10{sup 19} G. The analytical dependence on the neutron concentration of the corresponding field B{sub S} at which the neutron gas transitions to the saturated state has been found in explicit form. It is established that for B > B{sub S} the indicated characteristics of the neutron gas, and likewise its state, no longer change.