×
近期发现有不法分子冒充我刊与作者联系,借此进行欺诈等不法行为,请广大作者加以鉴别,如遇诈骗行为,请第一时间与我刊编辑部联系确认(《中国物理C》(英文)编辑部电话:010-88235947,010-88236950),并作报警处理。
本刊再次郑重声明:
(1)本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137
(2)本刊采编系统作者中心是投稿的唯一路径,该系统为ScholarOne远程稿件采编系统,仅在本刊投稿网网址(https://mc03.manuscriptcentral.com/cpc)设有登录入口。本刊不接受其他方式的投稿,如打印稿投稿、E-mail信箱投稿等,若以此种方式接收投稿均为假冒。
(3)所有投稿均需经过严格的同行评议、编辑加工后方可发表,本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿,并收取发表费用,均为假冒。
                  
《中国物理C》(英文)编辑部
2024年10月30日

Scattering of massless fermions by Schwarzschild and Reissner-Nordström black holes

  • We study the scattering of massless Dirac fermions by Schwarzschild and Reissner-Nordström black holes. This is done by applying partial wave analysis to the scattering modes obtained after solving the massless Dirac equation in the asymptotic regions of the two black hole geometries. We successfully obtain analytic phase shifts, with the help of which the scattering cross section is computed. The glory and spiral scattering phenomena are shown to be present, as in the case of massive fermion scattering by black holes.
      PCAS:
  • 加载中
  • [1] K. W. Ford and J. A. Wheeler, Ann. Phys. (Leipzig), 7:259(1959)
    [2] C. Darwin, Proc. R. Soc. A, 249:180(1959)
    [3] R. A. Matzner, J. Math. Phys. (N.Y.), 9:163(1968)
    [4] P. A. Collins, R. Delbourgo, and R. M. Williams, J. Phys. A., 6:161(1973)
    [5] W. G. Unruh, Phys. Rev. D, 14:3251(1976)
    [6] N. G. Sanchez, Phys. Rev. D, 16:937(1977); Phys. Rev. D, 18:1030(1978)
    [7] T.-R. Zhang and C. DeWitt-Morette, Phys. Rev. Lett., 52:2313(1984)
    [8] R. A. Matzner, C. DeWitte-Morette, B. Nelson, and T.-R. Zhang, Phys. Rev. D, 31:1869(1985)
    [9] J. A. H. Futterman, F. A. Handler, R. A. Matzner, Scattering from Black Holes (Cambridge:Cambridge University Press, 1988)
    [10] A. B. Gaina, Sov. Phys. JETP, 69:13-16, (1989); Zh. Eksp. Teor. Fiz., 96:25-31(1989)
    [11] A.B. Gaina, Sov. Phys. J., 31:544-548(1989)
    [12] P. Anninos, C. DeWitt-Morette, R. A. Matzner, P. Yioutas, and T. R. Zhang, Phys. Rev. D, 46:4477(1992)
    [13] N. Andersson, Phys. Rev. D, 52:1808(1995)
    [14] A. Higuchi, Classical Quantum Gravity, 18:L139(2001); 19:599(2002)
    [15] E. Jung, S. H. Kim, and D. K. Park, Phys. Lett. B, 602:105(2004)
    [16] E. Jung and D. K. Park, Nucl. Phys. B, 717:272(2005)
    [17] L. C. B. Crispino, S. Dolan, E. S. Oliveira, Phys. Rev. D, 79:064022(2009)
    [18] D. Batic, N. G. Kelkar, and M. Nowakowski, Phys. Rev. D, 86:104060(2012)
    [19] C. F. B. Macedo, L. C. S. Leite, E. S. Oliveira, S. R. Dolan, and L. C. B. Crispino, Phys. Rev. D, 88:064033(2013)
    [20] K.-i. Kanai and Y. Nambu, Class. Quant. Grav., 30:175002(2013)
    [21] C. L. Benone, E. S. de Oliveira, S. R. Dolan, and L. C. B. Crispino, Phys. Rev. D, 89:104053(2014)
    [22] C. F. B. Macedo, L. C. B. Crispino, Phys. Rev. D, 90:064001(2014)
    [23] A. Gubmann, Class. Quant. Grav., 34:065007(2017)
    [24] B. Mashhoon, Phys. Rev. D, 7:2807-2814(1973)
    [25] V. P. Frolov, A. A. Shoom, Phys. Rev. D, 86:024010(2012)
    [26] R. Fabbri, Phys. Rev. D, 12:933-942(1975)
    [27] T. Kobayashi, A. Tomimatsu, Phys. Rev. D, 82:084026(2010)
    [28] R. A. Konoplya, A. Zhidenko, Phys. Rev. D, 87:024044(2013)
    [29] L. C. B. Crispino, E. S. Oliveira, A. Higuchi, and G. E. A. Matsas, Phys. Rev. D, 75:104012(2007)
    [30] L. C. B. Crispino, S. R. Dolan, and E. S. Oliveira, Phys. Rev. Lett., 102:231103(2009)
    [31] L. C. B. Crispino, A. Higuchi, and E. S. Oliveira, Phys. Rev. D, 80:104026(2009)
    [32] L. C. B. Crispino, S. R. Dolan, A. Higuchi, and E. S. de Oliveira, Phys. Rev. D, 90:064027(2014)
    [33] C. V. Vishveshwara, Nature, 227:936-938(1970)
    [34] P. J. Westervelt, Phys. Rev. D, 3:2319-2324(1971)
    [35] P. C. Peters, Phys. Rev. D, 13:775-777(1976)
    [36] F. A. Handler, R. A. Matzner, Phys. Rev. D, 22:2331-2348(1980)
    [37] S. R. Dolan, Class. Quant. Grav., 25:235002(2008)
    [38] S. R. Dolan, Phys. Rev. D, 77:044004(2008)
    [39] S. Creek, O. Efthimiou, P. Kanti, and K. Tamvakis, Phys. Lett. B, 635:39(2006)
    [40] F. Sorge, Class. Quant. Grav., 32:035007(2015)
    [41] S. R. Das, G. Gibbons, and S. D. Mathur, Phys. Rev. Lett., 78:417(1997)
    [42] W. M. Jin, Classical and Quantum Gravity, 15(10):3163(1998)
    [43] C. Doran and A. Lasenby, Phys. Rev, D, 66:024006(2002)
    [44] E. Jung, S. H. Kim, and D. K. Park, JHEP, 09:005(2004)
    [45] H. Cho and Y. Lin, Classical and Quantum Gravity, 22(5):775(2005)
    [46] S. Dolan, C. Doran, and A. Lasenby, Phys. Rev. D, 74:064005(2006)
    [47] M. Rogatko and A. Szyplowska, Phys. Rev. D, 79:104005(2009)
    [48] H. Huang, M. Jiang, J. Chen, Y. Wang, Gen Relativ Gravit, 47:8(2015)
    [49] I. I. Cotăescu, C. Crucean, and C. A. Sporea, Eur. Phys. J. C, 76:102(2016)
    [50] I.I. Cotăescu, C. Crucean, C.A. Sporea, Eur. Phys. J. C 76:413(2016)
    [51] H. Liao, J-H. Chen, P. Liao, and Y-J. Wang, Commun. Theor. Phys., 62:227-234(2014)
    [52] A. Ghosh, P. Mitra, Phys. Rev. D, 50:7389-7393(1994)
    [53] G. W. Gibbons, Commun. Math. Phys., 44:245(1975)
    [54] V. Cardoso, C. F. B. Macedo, P. Pani, and V. Ferrari, J. Cosmol. Astropart. Phys., 1605:054(2016)
    [55] A. De Rujula, S. L. Glashow and U. Sarid, Nucl. Phys. B, 333:173(1990)
    [56] C. F. B. Macedo, P. Pani, V. Cardoso, and L. C. B. Crispino, Astrophys. J., 774:48(2013)
    [57] Y. Fukuda et al (Super-Kamiokande collaboration), Phys. Rev. Lett., 81:1562(1998)
    [58] Q.R. Ahmad et al (SNO collaboration), Phys. Rev. Lett., 89:011301(2002)
    [59] E. Giusarma, M. Gerbino, O. Mena, S. Vagnozzi, S. Ho, and K. Freese, Phys. Rev. D, 94:083522(2016)
    [60] B. Thaller. The Dirac Equation, (Berlin Heidelberg:Springer Verlag, 1992)
    [61] V. B. Berestetski, E. M. Lifshitz and L. P. Pitaevski. it Quantum Electrodynamics (Oxford:Pergamon Press, 1982)
    [62] I. I. Cotăescu, Mod. Phys. Lett. A, 13:2923(1998)
    [63] I. I. Cotăescu, J. Phys. A Math. Gen., 33:1977(2000)
    [64] D. R. Yennie, D. G. Ravenhall, and R. N. Wilson, Phys. Rev., bf 95500(1954)
    [65] I. D. Novikov, Doctoral Disertation:Sthernberg Astronomical Institute (1963)
    [66] C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (San Francisco:Freeman Co., 1971)
    [67] F. W. J. Olver, D. W. Lozier, R. F. Boisvert, and C. W. Clark, NIST Handbook of Mathematical Functions (Cambridge University Press, 2010)
    [68] I. I. Cotăescu, Phys. Rev. D,60:124006-010(1999); Phys. Rev. D, 65:084008(2002)
    [69] C. A. Sporea, Mod. Phys. Lett. A, 30:1550145(2015)
    [70] I. I. Cotăescu, Rom. J. Phys., 52:895-940(2007)
    [71] I. I. Cotăescu, Mod. Phys. Lett. A, 22:2493(2007)
    [72] N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B, 429:263(1998)
  • 加载中

Get Citation
Ciprian A. Sporea. Scattering of massless fermions by Schwarzschild and Reissner-Nordström black holes[J]. Chinese Physics C, 2017, 41(12): 123101. doi: 10.1088/1674-1137/41/12/123101
Ciprian A. Sporea. Scattering of massless fermions by Schwarzschild and Reissner-Nordström black holes[J]. Chinese Physics C, 2017, 41(12): 123101.  doi: 10.1088/1674-1137/41/12/123101 shu
Milestone
Received: 2017-08-02
Fund

    Supported by a grant of the Ministry of National Education and Scientific Research, RDI Programme for Space Technology and Advanced Research-STAR, project number 181/20.07.2017

Article Metric

Article Views(1712)
PDF Downloads(68)
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

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Scattering of massless fermions by Schwarzschild and Reissner-Nordström black holes

    Corresponding author: Ciprian A. Sporea,
Fund Project:  Supported by a grant of the Ministry of National Education and Scientific Research, RDI Programme for Space Technology and Advanced Research-STAR, project number 181/20.07.2017

Abstract: We study the scattering of massless Dirac fermions by Schwarzschild and Reissner-Nordström black holes. This is done by applying partial wave analysis to the scattering modes obtained after solving the massless Dirac equation in the asymptotic regions of the two black hole geometries. We successfully obtain analytic phase shifts, with the help of which the scattering cross section is computed. The glory and spiral scattering phenomena are shown to be present, as in the case of massive fermion scattering by black holes.

    HTML

Reference (72)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return