Geodesic
Electroweak Nucleon Decays in a Superstrong Magnetic Field
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 1, pp. 108-122 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the influence of a magnetic field on the electroweak processes of nucleon decay in a degenerate ideal gas of neutrons, protons, and electrons situated in an external superstrong constant and homogeneous magnetic field with effects due to the interaction of nucleon anomalous magnetic moments with the magnetic field taken into account. For different values of the chemical potentials of degenerate fermions, we obtain expressions for probabilities of electroweak processes, which are assumed to be responsible for the chemical equilibrium in the central domain of a neutron star with a frozen superstrong magnetic field. We show that the difference between the neutron decay probabilities in the presence of a magnetic field $B\ll 10^{17}$ Gs and without this field is completely determined by changing the phase volume of electron states. We discuss the process of proton decay into a neutron, positron, and neutrino. This process is energetically allowed only when the interaction of nucleon anomalous magnetic moments with a superstrong magnetic field is taken into account.
Keywords: strong magnetic field, quantizing energy levels, neutron star, electroweak processes. 
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     title = {Electroweak {Nucleon} {Decays} in a {Superstrong} {Magnetic} {Field}},
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V. R. Khalilov. Electroweak Nucleon Decays in a Superstrong Magnetic Field. Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 1, pp. 108-122. http://geodesic.mathdoc.fr/item/TMF_2005_145_1_a5/

[1] B. Paczynski, Acta Astron., 42 (1992), 145 ; C. Thompson, R. C. Duncan, Astrophys. J., 473 (1996), 322 | DOI

[2] R. C. Duncan, Physics in ultra-strong magnetic fields, E-print astro-ph/0002442

[3] C. Kouveliotou, S. Dieters, T. Strohmayer et al., Nature, 393 (1998), 235 | DOI

[4] K. Hurley, T. Cline, E. Mazets et al., Nature, 397 (1999), 41 | DOI | MR

[5] S. Mereghetti, L. Stella, Astrophys. J. Lett., 17 (1995), L442

[6] S. Shapiro, S. Tyukolski, Chernye dyry, belye karliki i neitronnye zvezdy, Mir, M., 1985

[7] Sut Ghosh, San Ghosh, K. Goswami, S. Chakrabarty, A. Goyal, Electrical conductivity at the core of a magnetar, E-print astro-ph/0106153

[8] D. Lai, S. Shapiro, Astrophys. J., 383 (1991), 745 | DOI

[9] R. Kippenhahn, A. Weigert, Stellar Structure and Evolution, Springer, Berlin–Heidelberg, 1994

[10] S. Vainberg, Gravitatsiya i kosmologiya, Mir, M., 1975

[11] J. M. Lattimer, C. J. Pethick, M. Prakash, P. Haensel, Phys. Rev. Lett., 66 (1991), 2701 | DOI

[12] V. Canuto, H.-Y. Chiu, Phys. Rev., 173 (1968), 1210 ; 1220; 1229 | DOI

[13] V. R. Khalilov, Elektrony v silnom magnitnom pole, Energoatomizdat, M., 1988

[14] A. Broderick, M. Prakash, J. M. Lattimer, Astrophys. J., 537 (2000), 351 | DOI

[15] V. R. Khalilov, TMF, 130 (2002), 87 ; 133, 103 | DOI | Zbl | Zbl

[16] O. Kh. Guseinov, Ya. B. Zeldovich, Pisma v ZhETF, 1 (1965), 11

[17] V. S. Imshennik, D. K. Nadezhin, “The terminal phases of stellar evolution in the supernova phenomenon”, Astrophysics and Space Physics Reviews. Sec. E, Sov. Sci. Rev., 2, ed. R. A. Syunyaev, Bell and Bain, Glasgow, 1983, 75

[18] L. I. Korovina, Izv. vuzov. Fizika, 1964, no. 6, 86 | Zbl

[19] I. M. Ternov, B. A. Lysov, L. I. Korovina, Vestn. MGU. Fizika. Astronomiya, 1965, no. 5, 58

[20] J. J. Mates, R. F. O'Connel, Phys. Rev., 180 (1969), 1289 | DOI

[21] L. Fassio-Canuto, Phys. Rev., 187 (1969), 2141 | DOI

[22] O. F. Dorofeev, V. N. Rodionov, I. M. Ternov, Pisma v ZhETF, 40 (1984), 159; 42 (1985), 222

[23] V. R. Khalilov, Phys. Rev. D, 65 (2002), 056001 | DOI

[24] V. I. Denisov, S. I. Svertilov, Astron. Astrophys., 39 (2003), L399

[25] I. M. Ternov, O. F. Dorofeev, V. N. Rodionov, V. G. Bagrov, V. R. Khalilov, J. Phys. A, 11 (1978), 739 ; V. R. Khalilov, Electrons in Strong Electromagnetic Fields, Gordon and Breach, Amsterdam, 1996 | DOI

[26] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, GIFML, M., 1963 | MR

[27] A. I. Studenikin, YaF, 49 (1989), 1665; В. Н. Родионов, ЖЭТФ, 111 (1997), 3 | MR