Microscopic calculation of the magnetic field of neutron stars

Based on the Dirac equation describing an electron moving in a uniform and cylindrically symmetric magnetic field which may be the result of the self-consistent mean field of the electrons themselves in a neutron star, we have obtained the eigen solutions and the orbital magnetic moments of electrons in which each eigen orbital can be calculated. From the eigen energy spectrum we find that the lowest energy level is the highly degenerate orbitals with the quantum numbers pZ=0, n=0, and m≥0. At the ground state, the electrons fill the lowest eigen states to form many Landau magnetic cells and each cell is a circular disk with the radius λfree and the thickness λe, where λfree is the electron mean free path determined by Coulomb cross section and electron density and λe is the electron Compton wavelength. The magnetic moment of each cell and the number of cells in the neutron star are calculated, from which the total magnetic moment and magnetic field of the neutron star can be calculated. The results are compared with the observational data and the agreement is reasonable.

作 者： LIU Jun JIA Wen-Zhi WANG Shun-Jin   作者單位： Center of Theoretical Physics, School of Physics and Technology, Sichuan University, Chengdu 610064, China  刊 名： 中國物理C（英文版）  ISTIC 英文刊名： CHINESE PHYSICS　C  年，卷(期)： 2009 33(9)  分類號： O4  關(guān)鍵詞： microscopic calculation of magnetic field of neutron stars   Dirac equation of electrons in a uniform magnetic mean field   orbital magnetic moment and Landau magnetic cell  

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