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超强磁场下电子朗道能级稳定性及对电子费米能的影响

宋冬灵 明亮 单昊 廖天河

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超强磁场下电子朗道能级稳定性及对电子费米能的影响

宋冬灵, 明亮, 单昊, 廖天河

Landau-level stability of electrons in superstrong magnetic fields and its influences on electron Fermi energy

Song Dong-Ling, Ming Liang, Shan Hao, Liao Tian-He
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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.
      通信作者: 宋冬灵, dongling120011@sina.com
    • 基金项目: 国家自然科学基金面上项目(批准号: 11173042)、新疆自治区自然科学基金面上项目 (批准号: 2013211A053)和河南省基础与前沿技术研究计划项目(批准号: B20142475) 资助的课题.
      Corresponding author: Song Dong-Ling, dongling120011@sina.com
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11173042), the Xinjiang Natural Science Foundation, China (Grant No. 2013211A053), and the Foundation and Cutting-edge Technology Research Program of Henan Province, China (Grant No. B20142475).
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    Gao Z F, Peng Q H, Wang N, Yuan J P 2012 Astrophys Space Sci. 342 55

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    Gao Z F, Wang N, Peng Q H, Li X D, Du Y J 2013 Mod. Phys. Lett. A 28 1350138

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    Harding A K, Lai D 2006 Rep. Prog. Phys. 692631

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    Chakrabarty S, Bandyopadhyay D, Pal S 1997 Phys. Rev. Lett. 78 2898

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    Chung K C, Wang C S, Wang A J, Santiago, Zhang J W 2001 Eur. Phys. J. A 12 161

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    Ding Y, Cao L G, Wang A J, Ma Z Y 2010 Commun. Theor. Phys. 53 716

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    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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出版历程
  • 收稿日期:  2015-09-13
  • 修回日期:  2015-10-30
  • 刊出日期:  2016-01-20

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