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

Abstract
HTML
Reference
Related

PDF

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

[1]

. Shapiro S L, Teukolsky S A. The Physics of Compact Ob-jects. Wiley, New York, 19832. Backer D C. Ap J., 1976, 209: 8953. CHEN Wei, LIU Liang-Gang. HEP NP, 2005, 29: 119-123. (in Chinese)4. Kouveliotou C et al. Nature, 1994, 368: 1255. Chakrabarty S, Bandyopadhyay D, Pal S. Phys. Rev. Lett.,1997, 78: 28986. Dipankar B. J Astrophy Astro., 2002, 23: 672727. Ito H, Yamada S, Sumiyoshi K et al. Theor. Phys., 2006,114: 995-10208. DUAN Huai-Yu, QIAN Yong-Zhong. Astro-ph., 2005, 29:72-939. MAO Guang-Jun, Iwamoto A, LI Zhu-Xia. Astro-ph/010922110. Kutschera M, Wojcik W. Phys. Lett. B, 1983, 223: 1111. Kutschera M, Wojcik W. Acta Magnetica. 1997, 8: 212. JIA Wen-Zhi, WANG Shun-Jin. HEP NP, 2006, 30(6):530-536 (in Chinese)13. JIA Wen-Zhi, WANG Shun-Jin. Commun. Theor., 2008,50: 335-340

[1]	N. Amangeldi , N. Burtebayev , G. Yergaliuly , Maulen Nassurlla , B. Balabekov , Abylay Tangirbergen , Awad A. Ibraheem , Mohamed A. Dewidar , Sh. Hamada . Breakup of ⁷Li in the field of ^118,120Sn nuclei and its effect on the elastic scattering channel. Chinese Physics C, 2026, 50(2): 1-12.
[2]	Huixiao Duan , Fan Zhang , Kailei Wang , Jun Su . Nuclear temperature of spectator source extracted by neutron spectra in ¹²⁴Sn,¹⁰⁷Sn + ¹²⁰Sn collisions at 600 MeV/nucleon. Chinese Physics C, 2026, 50(2): 1-10.
[3]	Ayan Banerjee , Indrani Karar , Javlon Rayimbaev , Inomjon Ibragimov , Sardor Murodov , Sokhibjan Muminov , Sardor Jumaniyozov . Existence of quark stars in gravity's Rainbow: the significance of strongly interacting quark matter. Chinese Physics C, 2026, 50(2): 1-12.
[4]	Minghui Ding , Fei Gao , Sebastian M. Schmidt . Anisotropic quark propagation and Zeeman effect in an external magnetic field. Chinese Physics C, 2026, 50(2): 1-19.
[5]	Tetsuaki Moriguchi , Momo Mukai , Naoto Kaname , Akira Ozawa , Shinji Suzuki , Yasushi Abe , Hiroki Arakawa , Tomoya Fujii , Daiki Hamakawa , Sakumi Harayama , Shun Hosoi , Yasuto Inada , Kumi Inomata , Reo Kagesawa , Daisuke Kajiki , Daiki Kamioka , Masanori Kanda , Atsushi Kitagawa , Takaaki Kobayashi , Daisuke Nagae , Sarah Naimi , Kunimitsu Nishimuro , Shunichiro Omika , Misaki Otsu , Mamoru Sakaue , Shinji Sato , Hibiki Seki , Naru Shinozaki , Takeshi Suzuki , Keisuke Tomita , Takayuki Yamaguchi , Yoshitaka Yamaguchi , Asahi Yano , Kenjiro Yokota . Improvements of time-of-flight detector utilizing a thin foil and crossed static electric and magnetic fields. Chinese Physics C, 2025, 49(10): 104001. doi: 10.1088/1674-1137/ade95b
[6]	Qi-Quan Li , Yu Zhang , Hoernisa Iminniyaz . Rotating and non-linear magnetic-charged black hole with an anisotropic matter field. Chinese Physics C, 2025, 49(10): 105106. doi: 10.1088/1674-1137/ade0a9
[7]	Ronghao Hu , Qike Gu , Kejian Shi , Zezhong Wei , Meng Lv , Shiyang Zou , Yongkun Ding . Polarized neutron beams from polarized deuterium-tritium fusion with applications to magnetic field imaging in high-energy-density plasmas. Chinese Physics C, 2025, 49(12): 124102. doi: 10.1088/1674-1137/adec4f
[8]	GUO Yan-Qing , SONG Jie . Quantitative conditions for the formation of p-wave neutron halos. Chinese Physics C, 2011, 35(2): 158-162. doi: 10.1088/1674-1137/35/2/010
[9]	BAO Ai-Dong , YAO Hai-Bo , WU Shi-Shu . Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED). Chinese Physics C, 2009, 33(3): 177-180. doi: 10.1088/1674-1137/33/3/003
[10]	YU Zi , LIU Guang-Zhou , ZHU Ming-Feng , DING Wen-Bo , ZHAO En-Guang . Thermal protoneutron stars with hyperons. Chinese Physics C, 2009, 33(S1): 70-72. doi: 10.1088/1674-1137/33/S1/023
[11]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[12]	Chen Zhongqiu , Shao Changgui , Ma Weichuan . Calculation of Wilson Loop Functionals for Classical and Quantum Gravities. Chinese Physics C, 1998, 22(3): 217-224.
[13]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3814)
PDF Downloads(635)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.