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]	Si-Na Wei , Rong-Yao Yang , Wei-Zhou Jiang . Crust-core properties of neutron stars in the Nambu-Jona-Lasinio model. Chinese Physics C, 2018, 42(5): 054103. doi: 10.1088/1674-1137/42/5/054103
[2]	Sheng-Qin Feng , Xin Ai , Lei Pei , Fei Sun , Yang Zhong , Zhong-Bao Yin . Estimation of the chiral magnetic effect considering the magnetic field response of the QGP medium. Chinese Physics C, 2018, 42(5): 054102. doi: 10.1088/1674-1137/42/5/054102
[3]	Ting-Ting Sun , Cheng-Jun Xia , Shi-Sheng Zhang , M. S. Smith . Massive neutron stars and Λ-hypernuclei in relativistic mean field models. Chinese Physics C, 2018, 42(2): 025101. doi: 10.1088/1674-1137/42/2/025101
[4]	A. H. Farajian , M. Bigdeli , S. Belbasi . LOCV calculation of the equations of state and properties of rapidly rotating neutron stars. Chinese Physics C, 2018, 42(6): 065102. doi: 10.1088/1674-1137/42/6/065102
[5]	Zhong Xu , Zhi-Pan Li . Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional. Chinese Physics C, 2017, 41(12): 124107. doi: 10.1088/1674-1137/41/12/124107
[6]	Nai-Bo Zhang , Shou-Yu Wang , Bin Qi , Jian-Hua Gao , Bao-Yuan Sun . Neutrino emissivity of the nucleon direct URCA process for rotational traditional and hyperonic neutron stars. Chinese Physics C, 2017, 41(7): 075101. doi: 10.1088/1674-1137/41/7/075101
[7]	Cui Zhu , Xia Zhou , Na Wang . Rotational energy conversion and thermal evolution of neutron stars. Chinese Physics C, 2017, 41(12): 125104. doi: 10.1088/1674-1137/41/12/125104
[8]	Fei Wu , Chen Wu , Zhong-Zhou Ren . Neutron stars including the effects of chaotic magnetic fields and anomalous magnetic moments. Chinese Physics C, 2017, 41(4): 045102. doi: 10.1088/1674-1137/41/4/045102
[9]	Jun-Kui Xu , You-Wu Su , Wu-Yuan Li , Wei-Wei Yan , Xi-Meng Chen , Wang Mao , Cheng-Guo Pang . Evaluation of neutron radiation field in carbon ion therapy. Chinese Physics C, 2016, 40(1): 018201. doi: 10.1088/1674-1137/40/1/018201
[10]	LI He-Ting , GUO Fan , LI Jia-Yu , JIA Qi-Ka . Calculation and analysis of the magnetic field of alinearly tapered undulator. Chinese Physics C, 2015, 39(8): 088101. doi: 10.1088/1674-1137/39/8/088101
[11]	ZHOU Xia , KANG Miao , WANG Na . Effect of magnetic field decay on the chemical heating of cooling neutron stars. Chinese Physics C, 2013, 37(8): 085102. doi: 10.1088/1674-1137/37/8/085102
[12]	YU Zi , DING Wen-Bo . Effects of the δ meson on the direct Urca processes in neutron stars. Chinese Physics C, 2011, 35(9): 812-816. doi: 10.1088/1674-1137/35/9/004
[13]	PI Chun-Mei , YANG Shu-Hua , ZHOU Xia , ZHOU Ai-Zhi . Cooling of Akmal-Pandharipande-Ravenhall neutron stars with a rotochemical heating source. Chinese Physics C, 2010, 34(12): 1818-1822. doi: 10.1088/1674-1137/34/12/006
[14]	LIU Xiao-Jin , WU Chen , REN Zhong-Zhou . Effects of the density dependence of the symmetry energy on neutron stars. Chinese Physics C, 2010, 34(11): 1709-1713. doi: 10.1088/1674-1137/34/11/008
[15]	YUE Peng , SHEN Hong . Antikaon condensation in neutron star matter with strong magnetic fields. Chinese Physics C, 2008, 32(S2): 85-88.
[16]	MA Qiao-Sheng , WU Yong , FAN Zhi-Kai , GAN Yan-Qing , JIN Xiao , ZHOU Chuan-Ming . Experimental investigation of backward wave oscillator with low magnetic field. Chinese Physics C, 2008, 32(3): 222-226. doi: 10.1088/1674-1137/32/3/013
[17]	YANG Fang , SHEN Hong . Hadron-quark phase transition in neutron stars. Chinese Physics C, 2008, 32(S2): 77-80.
[18]	LIU Jing-Jing , LUO Zhi-Quan . Neutrino energy loss by electron capture in magnetic field at the crusts of neutron stars. Chinese Physics C, 2008, 32(2): 108-111. doi: 10.1088/1674-1137/32/2/007
[19]	Shen Yaosong , Ren Zhongzhou . Relativistic Mean-field Calculation on Λ Hypernuclei. Chinese Physics C, 1997, 21(S4): 47-54.
[20]	Zhang Changhua , Gu Jinnan . Shell Model Calculation for Light Neutron-Rich Nuclei. Chinese Physics C, 1996, 20(S2): 165-170.

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(2716)
PDF Downloads(634)
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.

HTML

Reference (1)

Microscopic calculation of the magnetic field of neutron stars

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article