Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
; Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China
We calculate the energy spectra and eigenfunctions of nucleons in a constant magnetic field. Concrete solutions of the Dirac equation including the anomalous magnetic moment (AMM) of nucleons are provided in the chiral representation. They are then used to investigate the equation of state (EOS) and particle ratios on the inner shell layer of neutron stars. The results show that the magnetic energy of strong field will increase the pressure on the inner shell layer neutron star, but the matter remains to be a neutron-rich matter. It is found that the AMM has evident effects on the proton polarization.