Neutrino processes in an external magnetic field in the density matrix formalism
Teoretičeskaâ i matematičeskaâ fizika, Tome 170 (2012) no. 3, pp. 423-447 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the matrix density formalism for a charged spinor particle located in a constant uniform magnetic field, we develop a technique for calculating the reaction rate and the four-momentum carried away from a plasma by a neutrino in one-vertex neutrino processes. Using this technique, we reproduce results for the luminosity in processes of neutrino synchrotron emission by electrons (positrons) and of electron–positron annihilation producing the neutrino pair.
Mots-clés : neutrino process
Keywords: magnetic field, density matrix.
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A. A. Gvozdev; E. V. Osokina. Neutrino processes in an external magnetic field in the density matrix formalism. Teoretičeskaâ i matematičeskaâ fizika, Tome 170 (2012) no. 3, pp. 423-447. http://geodesic.mathdoc.fr/item/TMF_2012_170_3_a7/

[1] G. S. Bisnovatyi-Kogan, Astronom. zh., 47 (1970), 813–816

[2] N. V. Ardeljan, G. S. Bisnovatyi-Kogan, S. G. Moiseenko, Mon. Not. Roy. Astron. Soc., 359:1 (2005), 333–344, arXiv: astro-ph/0410234 | DOI

[3] N. N. Chugai, Pisma v Astronom. zh., 10:2 (1984), 210–213

[4] O. F. Dorofeev, V. N. Rodionov, I. M. Ternov, Pisma v ZhETF, 40:4 (1984), 159–161

[5] O. F. Dorofeev, V. N. Rodionov, I. M. Ternov, Pisma v Astronom. zh., 11 (1985), 302–309

[6] Yu. M. Loskutov, Pisma v ZhETF, 39:9 (1984), 438–440; ТМФ, 65:1 (1985), 141–150 | DOI

[7] V. M. Zakhartsov, Yu. M. Loskutov, Vestnik MGU. Ser. 3. Fiz. Astron., 26:2 (1985), 24–30

[8] A. I. Studenikin, Astrofizika, 28:3 (1988), 638–647 | DOI

[9] Yu. M. Loskutov, Yu. M. Parfenov, Vestnik MGU. Ser. 3. Fiz. Astron., 30 (1989), 3–7

[10] A. A. Gvozdev, I. S. Ognev, Pisma v ZhETF, 69:5 (1999), 337–342 | DOI

[11] A. A. Gvozdev, I. S. Ognev, ZhETF, 121:6 (2002), 1219–1234 | DOI

[12] S. Mereghetti, Astron. Astrophys. Rev., 15:4 (2008), 225–287 | DOI | MR

[13] R. C. Duncan, C. Thompson, Astrophys. J., 392:1 (1992), L9–L13 | DOI

[14] C. Thompson, R. C. Duncan, Astrophys. J., 408:1 (1993), 194–217 | DOI

[15] C. Thompson, R. C. Duncan, Astrophys. J., 473:1 (1996), 322–342 | DOI

[16] C. Thompson, R. C. Duncan, Mon. Not. Roy. Astron. Soc., 275:2 (1995), 255–300

[17] A. A. Gvozdev, I. S. Ognev, E. V. Osokina, Pisma v Astronom. zh., 37:5 (2011), 365–376, arXiv: 1105.4080 | DOI

[18] H. A. Bethe, Rev. Mod. Phys., 62:4 (1990), 801–866 | DOI

[19] N. Itoh, H. Hayashi, A. Nishikava, Y. Kohyama, Astrophys. J. Suppl. Ser., 102 (1996), 411–424 | DOI

[20] L. I. Korovina, Izvestiya vuzov. Fizika, 6 (1964), 86–92 | Zbl

[21] I. M. Ternov, B. A. Lysov, L. I. Korovina, Vestnik MGU. Ser. 3. Fiz. Astron., 6:5 (1965), 58–63

[22] J. J. Matese, R. F. O'Connell, Phys. Rev., 180:5 (1969), 1289–1292 | DOI

[23] L. Fassio-Canuto, Phys. Rev., 187:5 (1969), 2141–2146 | DOI

[24] S. Shinkevich, A. Studenikin, Pramana, 65:2 (2005), 215–244, arXiv: hep-ph/0402154 | DOI

[25] A. I. Studenikin, YaF, 49 (1989), 1665–1671

[26] D. G. Yakovlev, A. D. Kaminker, O. Y. Gnedin, P. Haensel, Phys. Rept., 354:1–2 (2001), 1–155, arXiv: astro-ph/0012122 | DOI

[27] K. Bhattacharya, P. B. Pal, Proc. Ind. Natl. Sci. Acad., 70 (2004), 145–161, arXiv: hep-ph/0212118

[28] A. V. Kuznetsov, N. V. Mikheev, Electroweek Processes in External Electromagnetic Fields, Springer Tracts in Modern Physics, 197, Springer, New York, 2004 | DOI

[29] E. Storck, Z. Natur. Forsch., 23 (1968), 1914–1928

[30] M. S. Andreev, N. V. Mikheev, E. N. Narynskaya, ZhETF, 137:2 (2010), 259-267 | DOI

[31] A. A. Sokolov, I. M. Ternov, Relyativistskii elektron, Nauka, M., 1974

[32] E. Yanke, F. Emde, F. Lesh, Spetsialnye funktsii. Formuly, grafiki, tablitsy, Nauka, M., 1977 | MR

[33] K. Nakamura et. al. (Particle Data Group), J. Phys. G, 37:7A (2010), 075021, 1422 pp. | DOI

[34] G. G. Raffelt, Stars as Laboratories for Fundamental Physics, Univ. Chicago Press, Chicago, 1996

[35] J. D. Landstreet, Phys. Rev., 153:5 (1967), 1372–1377 | DOI

[36] V. G. Bezchastnov, P. Haensel, A. D. Kaminker, D. G. Yakovlev, Astron. Astrophys., 328 (1997), 409–418

[37] A. D. Kaminker, D. G. Yakovlev, TMF, 49:2 (1981), 248–260 | DOI

[38] A. D. Kaminker, O. Yu. Gnedin, D. G. Yakovlev, Phys. Rev. D, 46:10 (1992), 4133–4139 | DOI

[39] A. D. Kaminker, D. G. Yakovlev, ZhETF, 103 (1993), 438–454

[40] V. V. Skobelev, Izvestiya vuzov. Fizika, 10 (1975), 142–143

[41] Yu. M. Loskutov, V. V. Skobelev, Phys. Lett. A, 56:3 (1976), 151–152 | DOI

[42] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integraly i ryady, v. 2, Spetsialnye funktsii, Fizmatlit, M., 2003 | MR | Zbl