Abstract
The effect of a magnetic field of arbitrary strength on the beta decay and crossing symmetric processes is analyzed. A covariant calculation technique is used to derive the expression for the squares of S-matrix elements of these reactions, which is also valid in reference frames in which the medium moves as a single whole along magnetic field lines. Simple analytic expressions obtained for the neutrino and antineutrino emissivities for a moderately degenerate plasma fully characterize the emissivity and absorbability of the studied medium. It is shown that the approximation used here is valid for core collapse supernovae and accretion disks around black holes; beta processes in these objects are predominantly neutrino reactions. The analytic expressions obtained for the emissivities can serve as a good approximation for describing the interaction of electron neutrinos and antineutrinos with the medium of the objects in question and hold for an arbitrary magnetic field strength. Due to their simplicity, these expressions can be included in the magnetohydrodynamic simulation of supernovae and accretion disks to calculate neutrino and antineutrino transport in them. The rates of beta processes and the energy and momentum emitted in them are calculated for an optically transparent matter. It is shown that the macroscopic momentum transferred in the medium increases linearly with the magnetic field strength and can substantially affect the dynamics of supernovae and accretion disks in the regions of a degenerate matter. It is also shown that the rates of beta processes and the energy emission for a magnetic field strength of B ≲ 1015 G typical of supernovae and accretion disks are lower than in the absence of field. This suppression is stronger for reactions with neutrinos.
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References
P. Kumar and B. Zhang, Phys. Rep. 561, 1 (2014).
A. I. MacFadyen and S. E. Woosley, Astrophys. J. 524, 262 (1999).
S. Rosswog, Int. J. Mod. Phys. D 24, 1530012 (2015).
M. V. Barkov and S. S. Komissarov, Mon. Not. R. Astron. Soc. 401, 1644 (2010).
S. W. Bruenn, Astrophys. J. Suppl. 58, 771 (1985).
S. G. Moiseenko and G. S. Bisnovatyi-Kogan, Astron. Rep. 59, 573 (2015).
H. Sawai and S. Yamada, Astrophys. J. 817, 153 (2016).
I. Zalamea and A. M. Beloborodov, Mon. Not. R. Astron. Soc. 410, 2302 (2011).
L. I. Korovina, Izv. Vyssh. Uchebn. Zaved., Fiz. 6, 86 (1964).
L. Fassio-Canuto, Phys. Rev. 187, 2141 (1969).
J. J. Matese and R. F. O’Connell, Phys. Rev. 180, 1289 (1969).
A. I. Studenikin, Sov. J. Nucl. Phys. 49, 1031 (1989).
L. B. Leinson and A. Perez, J. High Energy Phys. 9, 020 (1998).
A. A. Gvozdev and I. S. Ognev, JETP Lett. 69, 365 (1999).
D. Baiko and D. Yakovlev, Astron. Astrophys. 342, 192 (1999).
D. G. Yakovlev, A. D. Kaminker, O. Y. Gnedin, and P. Haensel, Phys. Rep. 354, 1 (2001).
H. Duan and Y.-Z. Qian, Phys. Rev. D 72, 023005 (2005).
V. L. Kauts, A. M. Savochkin, and A. I. Studenikin, Phys. At. Nucl. 69, 1453 (2006).
S. L. Shapiro and S. A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects (Wiley, New York, 1983), Chap. 2.
G. G. Raffelt, Stars as Laboratories for Fundamental Physics (Univ. Chicago Press, Chicago, USA, 1996).
N. N. Chugai, Sov. Astron. Lett. 10, 87 (1984).
P. Arras and D. Lai, Phys. Rev. D 60, 043001 (1999).
A. A. Sokolov and I. M. Ternov, The Relativistic Electron (Nauka, Moscow, 1986) [in Russian].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Pergamon, New York, 1977).
A. A. Gvozdev, I. S. Ognev, and E. V. Osokina, Neutrino Processes in External Magnetic Field in Density Matrix Engineering (Yarosl. Gos. Univ., Yaroslavl’, 2012) [in Russian].
A. A. Gvozdev and E. V. Osokina, Theor. Math. Phys. 170, 354 (2012).
H. Bauke, S. Ahrens, C. H. Keitel, and R. Grobe, New J. Phys. 16, 043012 (2014).
K. Bhattacharya and P. B. Pal, Pramana 62, 1041 (2004).
M. S. Andreev, N. V. Mikheev, and E. N. Narynskaya, J. Exp. Theor. Phys. 110, 227 (2010).
E. Jahnke, F. Emde, and F. Lösch, Tables of Higher Functions (McGraw-Hill, New York, 1960).
K. Olive et al., Chin. Phys. C 38, 090001 (2014).
A. D. Kaminker and D. G. Yakovlev, Teor. Mat. Fiz. 49, 248 (1981).
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Rows. Supplementary Chapters (Nauka, Moscow, 1986) [in Russian].
E. Roulet, J. High Energy Phys. 1, 013 (1998).
H. Duan and Y.-Z. Qian, Phys. Rev. D 69, 123004 (2004).
H. A. Bethe and J. R. Wilson, Astrophys. J. 295, 14 (1985).
R. Popham, S. E. Woosley, and C. Fryer, Astrophys. J. 518, 356 (1999).
A. A. Gvozdev and I. S. Ognev, J. Exp. Theor. Phys. 94, 1043 (2002).
O. Just, M. Obergaulinger, and H.-T. Janka, Mon. Not. R. Astron. Soc. 453, 3386 (2015).
W.-X. Chen and A. M. Beloborodov, Astrophys. J. 657, 383 (2007).
A. V. Kuznetsov and N. V. Mikheev, J. Exp. Theor. Phys. 91, 748 (2000).
D. Lai and Y.-Z. Qian, Astrophys. J. 505, 844 (1998).
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Original Russian Text © I.S. Ognev, 2016, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 123, No. 4, pp. 744–770.
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Ognev, I.S. Effect of magnetic field on beta processes in a relativistic moderately degenerate plasma. J. Exp. Theor. Phys. 123, 643–665 (2016). https://doi.org/10.1134/S106377611610006X
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DOI: https://doi.org/10.1134/S106377611610006X