Microscopic calculation of the magnetic field of neutron stars

LIU Jun; JIA Wen-Zhi; WANG Shun-Jin

doi:10.1088/1674-1137/33/9/005

Chinese Physics C> 2009, Vol. 33> Issue(9) : 737-742 DOI: 10.1088/1674-1137/33/9/005

Microscopic calculation of the magnetic field of neutron stars

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Abstract：
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 p_z=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 λ_free and the thickness λ_e, where λ_free is the electron mean free path determined by Coulomb cross section and electron density and λ_e 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.

References

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LIU Jun, JIA Wen-Zhi and WANG Shun-Jin. Microscopic calculation of the magnetic field of neutron stars[J]. Chinese Physics C, 2009, 33(9): 737-742. doi: 10.1088/1674-1137/33/9/005

LIU Jun, JIA Wen-Zhi and WANG Shun-Jin. Microscopic calculation of the magnetic field of neutron stars[J]. Chinese Physics C, 2009, 33(9): 737-742. doi: 10.1088/1674-1137/33/9/005 shu

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Received: 2008-12-30
Revised: 2009-03-21

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Microscopic calculation of the magnetic field of neutron stars

Corresponding author: WANG Shun-Jin,

Received Date: 2008-12-30

Accepted Date: 2009-03-21

Available Online: 2009-09-05

Abstract:

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 p_z=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 λ_free and the thickness λ_e, where λ_free is the electron mean free path determined by Coulomb cross section and electron density and λ_e 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.

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Microscopic calculation of the magnetic field of neutron stars

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通讯作者: 陈斌, bchen63@163.com

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