Geodesic
Nucleon Instability in a Degenerate Magnetized Nucleon–Electron Gas
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 3, pp. 508-528 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the framework of the model of a degenerate relativistic ideal neutron–proton–electron gas($np^+e^-$-gas) in an external superstrong constant and homogeneous magnetic field, we study the effect of the magnetic field on the state of chemical equilibrium of the $np^+e^-$-gas and on the processes of electronic ($\beta^-$) and positronic ($\beta^+$) nucleon decay taking the effects due to the interaction between the nucleon anomalous magnetic moments and the magnetic field into account. For sufficiently large values of the magnetic induction, the proton density in chemical equilibrium must exceed the neutron density. Including the interaction between the nucleon anomalous magnetic moments $M_{n,p}$ and the magnetic field results in an insignificant reduction of the proton density, but, as in the case $M_{n,p}=0$ the proton density in chemical equilibrium in the presence of the superstrong magnetic field exceeds the neutron density. We show that if the interaction between the nucleon anomalous magnetic moments and the superstrong magnetic field is taken into account, then the positronic decay of a free proton (i.e., a proton not entering the composition of an atomic nucleus) into a neutron, a positron, and a neutrino can become energetically allowed. We discuss the necessary conditions for realizing the phase transition from the nucleon phase to the quark phase of the substance in the central region of a strongly magnetized neutron star.
Keywords: anomalous magnetic moment, neutron star, electronic nucleon decay, positronic nucleon decay, metastable state
Mots-clés : phase transition. 
@article{TMF_2004_138_3_a11,
     author = {V. R. Khalilov},
     title = {Nucleon {Instability} in {a~Degenerate} {Magnetized} {Nucleon{\textendash}Electron} {Gas}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {508--528},
     year = {2004},
     volume = {138},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_138_3_a11/}
}
TY  - JOUR
AU  - V. R. Khalilov
TI  - Nucleon Instability in a Degenerate Magnetized Nucleon–Electron Gas
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2004
SP  - 508
EP  - 528
VL  - 138
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2004_138_3_a11/
LA  - ru
ID  - TMF_2004_138_3_a11
ER  - 
%0 Journal Article
%A V. R. Khalilov
%T Nucleon Instability in a Degenerate Magnetized Nucleon–Electron Gas
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2004
%P 508-528
%V 138
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2004_138_3_a11/
%G ru
%F TMF_2004_138_3_a11
V. R. Khalilov. Nucleon Instability in a Degenerate Magnetized Nucleon–Electron Gas. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 3, pp. 508-528. http://geodesic.mathdoc.fr/item/TMF_2004_138_3_a11/

[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 et al., Nature, 397 (1999), 41 | DOI | MR

[5] S. Mereghetti, L. Stella, Astrophys. J. Lett., 17 (1995), 442

[6] S. T. Shapiro, S. A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars. The Physics of Compact Objects, Wiley, New York, 1983

[7] Sut Glosh et al., 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. Weinberg, Gravitation and Cosmology, Wiley, New York, 1972

[11] J. M. Lattimer et al., Phys. Rev. Lett., 66 (1991), 2701 | DOI

[12] G. S. Bisnovatyi-Kogan, Astron. Astrophys. Trans., 3 (1993), 287 | DOI

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

[14] C.-L. Ho, V. R. Khalilov, C. Yang, Mod. Phys. Lett. B, 10 (1996), 1141 | DOI

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

[16] V. R. Khalilov, TMF, 130 (2002), 87 | DOI | Zbl

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

[18] J. Schwinger, Phys. Rev., 73 (1948), 416L ; Proc. Nat. Acad. Sci. USA, 37 (1951), 152; 455 | DOI | MR | MR | Zbl

[19] I. M. Ternov et al., J. Phys. A, 11 (1978), 739 ; V. R. Khalilov, Electrons in Strong Electromagnetic Fields, Gordon Breach, Amsterdam, 1996 | DOI

[20] V. G. Kadyshevskii, V. N. Rodionov, “Elektromagnitnaya dlina i fundamentalnaya massa v elektrodinamike”, Tr. seminara “Simmetpii i integriruemye sistemy”, ed. A. N. Sisakyan, OIYaI, Dubna, 1999, 103; В. Н. Родионов, ЖЭТФ, 111 (1997), 3 | MR

[21] V. M. Zakhartsov, Yu. M. Loskutov, Vestn. MGU. Ser. Fizika, Astronomiya, 1985, no. 6, 24

[22] A. I. Studenikin, YaF, 49 (1989), 1665

[23] K. Bhattacharya, P. B. Pal, Inverse beta-decay of arbitrarily polarized neutrons in a magnetic field, E-print hep-ph/0209053

[24] P. J. de A. Bicudo, J. E. F. T. Ribeiro, R. Fernandes, Phys. Rev. C, 59 (1999), 1107 | DOI

[25] J. P. Singh, Phys. Rev. D, 31 (1985), 1097 | DOI

[26] G. Köpp, D. Schaile, M. Spira, P. M. Zerwas, Z. Phys. C, 65 (1995), 545 | DOI

[27] L. Brekke, Nucl. Phys. B, 240 (1995), 400

[28] S. Fajfer, R. J. Oakes, Phys. Rev. D, 28 (1983), 2881 | DOI

[29] V. B. Berestetskii, E. M. Lifshits, L. P. Pitaevskii, Kvantovaya elektrodinamika, Nauka, M., 1980 | MR

[30] A. B. Migdal, ZhETF, 61 (1971), 2209

[31] K. Khuang, Kvarki, leptony i kalibrovochnye polya, Mir, M., 1985 | MR

[32] E. M. Lifshits, L. P. Pitaevskii, Statisticheskaya fizika, Chast 2, Nauka, M., 1978

[33] S. Chakrabarty, Phys. Rev. D, 54 (1996), 1306 | DOI

[34] T. Ghosh, S. Chakrabarty, Phys. Rev. D, 63 (2001), 043006 | DOI

[35] L. D. Landau, E. M. Lifshits, Statisticheskaya fizika, Chast 1, Nauka, M., 1976 | MR

[36] S. Chakrabarty, Phys. Rev. D, 51 (1995), 4591 | DOI

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