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.
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  • [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)
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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
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Received: 2017-08-02
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    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

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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.

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