Abstract
A Fermi-gas model for the atomic nucleus in the presence of a quantizing magnetic field is considered. The energy of the magnetized neutrons is determined taking into account the Pauli paramagnetism, and the energy of the magnetized protons taking into account Landau diamagnetism and Pauli paramagnetism. To determine the characteristics of the proton-gas energy in a quantizing magnetic field, we use a model for the proton motion in which the initial energy of the proton and the magnetic field strength enable estimation of the maximum Landau quantum number. The latter characterizes the proton motion perpendicular to the direction of the magnetic field. Due to the occupation of Landau levels by protons, it is possible to estimate the kinetic energy for continuous motion along the magnetic field from zero to a certain finite value. As a result, the magnetic field of a certain strength facilitates neutron evaporation from the nucleus and increases the stability of the protons in the nucleus.
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