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磁星是一类由磁场供能、强磁化的中子星, 其内部磁场远高于电子的量子临界磁场. 本文通过引入电子朗道能级的稳定性系数gn , 讨论了在磁星环境下电子的朗道能级的稳定性及其对电子费米能EF (e) 的影响; 研究发现, 磁场越强, 电子的朗道能级越不稳定, 最大的朗道能级级数nmax 越小; 朗道能级数n越大, 能级稳定性系数gn 越小. 根据朗道能级的稳定性系数gn 随磁场的增加而减小的要求, 电子费米能表达式的磁场指数 必须是正数. 通过引入Dirac- 函数, 推导出超强磁场下的简并的、相对论电子费米能的一般表达式, 修正了EF (e) 的特解. 新的特解给出磁场指数 = 1/6; 特解的适用范围 107 gcm-3, Bcr B 1017 G. 本文结果将有助于中子星内部弱相互作用过程(包括修正的URCA反应和电子俘获)和磁星磁热演化机理的研究.
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Keywords:
- Landau-levels /
- superstrong magnetic fields /
- Fermi energy /
- neutron stars
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[47] Lai D, Shapiro S L 1991 Astrophys J. Lett. 383 745
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[52] Takahashi K 2008 Journal of Physics G-Nuclear and Particle Physics 35 035002
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-
[1] Thompson C, Duncan R C 1996 Astrophys. J. 473 322
[2] Colpi M, Geppert U, Page D 2000 Astrophys. J. Lett. 529 29
[3] Lewin W H G, Klis M V D 2006 Compact Stellar X-ray Source (New York: Cambridge University) p547
[4] Gao Z F, Peng Q H, Wang N 2013 Proceedings of the International Astronomical Union, Beijing, August 22-30, 2012 386
[5] Liu H L, Luo Z Q, Lai X J, Liu J J 2008 Chin. Phys. B 17 2317
[6] Luo Z Q, Liu H L, Liu J J, Lai X J 2009 Chin. Phys. B 18 0377
[7] Luo X, Du J, Li P P 2013 Chin. Phys. B 22 12970
[8] Gao Z F, Peng Q H, Wang N, Chou C K 2012 Chin. Phys. B 21 057109
[9] Zhang J, Liu M Q, Wei B T, Luo Z Q 2008 Acta Phys. Sin. 57 5448 (in Chinese) [张洁, 刘门全, 魏丙涛, 罗志全 2008 物理学报 57 5448]
[10] Zhang J, Wang S F 2010 Acta Phys. Sin. 59 1404 (in Chinese) [张洁, 王少峰 2010 物理学报 59 1404]
[11] Prakash M, Bombaci I, Ellis P J, Lattimer J M, Knorren R 1997 Phys. Rep. 280 1
[12] Yakovlev D G, Levenfish K P, Shibanov, Yu A 1999 Phys. Usp. 42 737
[13] Shapiro S L, Teukolsky S A 1983 Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects(NewYork: Wiley-Interscience) p121
[14] Bombaci I 2001 EOS for Dense Isospin Asymmetric Nuclear Matter For Astrophysical Applications in the book Isospin Physics in Heavy-Ion Collisions at Intermediate Energies(New York: Schroder, Nova Science Publishers, Inc) p10
[15] Liu J J 2010 Chin. Phys. B 19 099601
[16] Baym G, Pethick C, Sutherland P 1971 Astrophys. J. 170 299
[17] Peng Q H, Tong H 2007 Mon. Not. R. Astron. Soc. 378 159
[18] Yakovlev D G, Kaminker A D, Gnedin O Y, Haensel P 2001 Phys. Rep. 354 1
[19] Tsuruta S, Sadino J, Kobelski A, Teter M A, Liebmann A C, Takatsuka T, Nomoto K, Umeda H 2009 Astrophys. J. 691 621
[20] Yu J W, Xu R X 2011 Mon. Not. R. Astron. Soc. 414 489
[21] Sedrakian D M, Hayrapetyan M V, Baghdasaryan D S 2015 Astrophysics 58 216
[22] Cao L G, Lombardo U, Shen C W, Giai N V 2006 Phys. Rev. C 73 014313
[23] Chen H, Wei J B, Baldo M, Burgio G F, Schulze H J 2015 Phys. Rev. D 91 105002
[24] Zacchi A, Stiele R, Schaffner-Bielich J 2015 Phys. Rev. D 92 045022
[25] Wang Y N, Shen H 2010 Phys. Rev. C 81 025801
[26] Xu R L, Wu C, Ren Z Z 2014 Int. J. Mod. Phys. D 23 1450078
[27] Wang H Y, Liu G Z, Wu Y R, Xu Y 2013 Chin. Phys. Lett. 30 061201
[28] Lattimer J M, Prakash M 2007 Phys. Rep. 442 109
[29] Yang F, Shen H 2008 Phys. Rev. C 77 025801
[30] Zhao X F, Jia H Y 2012 Chin. Phys. B 21 089701
[31] Aguirre R, Bauer E, Vidana I 2014 Phys. Rev. C 89 035809
[32] Rabhi A, Prez-Garca M A, Providncia C, Vidana I 2014 Phys. Rev. C 89 035809 )
[33] Chatterjee D, Elghozi T, Novak J, Oertel M 2015 Mon. Not. R Astron. Soc. 447 3785
[34] Isayev A A 2015 Phys. Rev. C 91 015208
[35] Li X H, Gao Z F, Li X D, Xu Y, Wang P, Wang N, Peng Q H 2016 Int. J. Mod. Phys. D 25 1650002
[36] Geng L, Toki H, Meng J 2005 Prog. Theor. Phys. 113 785
[37] Demorest P B, Pennucci T, Ransom S M, Roberts, Hessels J W 2010 Nature 467 1081
[38] Wu X G, Pang M D, Saxena G 2015 Chin. Phys. B 24 097301
[39] Wang Z J, L G L, Zhu C H, Huo W S 2012 Acta Phys. Sin. 61 1790701 (in Chinese) [王兆军, 吕国梁, 朱春花, 霍文生 2012 物理学报 61 1790701]
[40] Gao Z F, Wang N, Xu Y, Shan H, Li X D 2015 Astron Nachr 336 866
[41] Gao Z F, Li X D, Wang N, Yuan J P, Wang P, Peng Q H, Du Y J 2015 MNRAS 456 55
[42] Wen D H, Liu H L, Zhang X D 2014 Chin. Phys. B 23 089501
[43] Franzon B, Dexheimer V, Schramm S 2015 arXiv:1508. 04431
[44] Gao Z F, Wang N, Song D L, Yuan J P, Chou C K 2011 Astrophys Space Sci. 334 281
[45] Gao Z F, Peng Q H, Wang N, Yuan J P 2012 Astrophys Space Sci. 342 55
[46] Gao Z F, Wang N, Peng Q H, Li X D, Du Y J 2013 Mod. Phys. Lett. A 28 1350138
[47] Lai D, Shapiro S L 1991 Astrophys J. Lett. 383 745
[48] Harding A K, Lai D 2006 Rep. Prog. Phys. 692631
[49] Chakrabarty S, Bandyopadhyay D, Pal S 1997 Phys. Rev. Lett. 78 2898
[50] Chung K C, Wang C S, Wang A J, Santiago, Zhang J W 2001 Eur. Phys. J. A 12 161
[51] Ding Y, Cao L G, Wang A J, Ma Z Y 2010 Commun. Theor. Phys. 53 716
[52] Takahashi K 2008 Journal of Physics G-Nuclear and Particle Physics 35 035002
[53] Henley E M, Johnson M B, Kisslinger L S 2007 Phys. Rev. D 76 125007
[54] Elgary , Engvik L, Hjorth Jensen M, Osnes E 1996 Phys. Rev. Lett. 77 1428
[55] Zhu W W, Kaspi V M, McLaughlin 2011 Astrophys J. 734 44
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