Abstract
We study the properties of neutrinos propagating in an isotropic magnetized medium in the two physical approximations of degenerate Fermi gas and classical plasma. The dispersion relation shows that, for peculiar configurations of the magnetic field, neutrinos can propagate freely as in vacuum, also for very large density; this result can be very important in the study of supernova evolution. For mixed neutrinos, the presence of a magnetic field can alter significatively MSW oscillations, and for particular configurations of the field the resonance condition no longer occurs. Furthermore, on the contrary to that happens in non-magnetized media, spatial dispersion arises and neutrino trajectory can be in principle deviated; however a simple estimate shows that this deviation is not detectable.
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References
H.A. Weldon, Phys. Rev., D 26 (1982) 1394.
J.C. D’Olivo, J.F. Nieves and P.B. Pal, Phys. Rev., D40 (1989) 3679;
J.F. Nieves and P.B. Pal, Phys. Rev., D40 (1989) 1693.
L. Wolfenstein, Phys. Rev., D 17 (1978) 2369;
S.P. Mikheyev and A.Yu. Smirnov, Il Nuovo Cimento, 9 C (1986) 17;
Sov. J. Nucl. Phys., 42 (1986) 913; Sov. Phys. Usp., 30 (1987) 759;
H. Bethe, Phys. Rev. Lett., 56 (1986) 1305.
R. Davis Jr., Proc. of the 23rd ICRC, Calgary, Canada (1993), Prog. in Nucl. and Part. Phys., 32 (1994);
M. Nakahata, Report at the 27th International Conference on High Energy Physics, July 1994 (ICHEP-94), Glasgow, Scotland;
P. Anselmann et al., Phys. Lett., B 327 (1994) 377;
V. Gavrin, Report at the 27th International Conference on High Energy Physics, July 1994 (ICHEP-94), Glasgow, Scotland.
S. Esposito, Mod. Phys. Lett., A 8 (1993) 1557;
N. Hata and P. Langacker, Phys. Rev., D 50 (1994) 632;
S.T. Petcov and A.Yu. Smirnov, Phys. Lett. B322 (1987) 109.
T. Altherr, Int. J. Mod. Phys., A 8 (1993) 5605 and references therein.
L. Dolan and R. Jackiw, Phys. Rev., D 9 (1974) 3320.
D. Notzold and G. Raffelt, Nucl. Phys., B 307 (1988) 924;
J.F. Nieves, Phys. Rev., D 40 (1989) 860;
P.B. Pal and T.N. Pham, Phys. Rev., D 40 (1989) 259.
B.W. Lee and R.E. Shrock, Phys. Rev., D 16 (1977) 1444;
R.E. Shrock, Nucl. Phys., B 206 (1982) 359.
J.C. D’Olivo, J.F. Nieves and M. Torres, Phys. Rev., D 46 (1992) 1172.
L.D. Landau and E.M. Lifshitz, The classical theory of fields, Fourth revised edition (Pergamon Press, 1975) Chap. 9.
A. Das and M. Hott, Mod. Phys. Lett., A 9 (1994) 3383;
Y. Fujimoto and K. Shigemoto, Journal of Physics, A 18 (1985) 3259.
See, for example, C. Nash, Relativistic Quantum Fields, (Academic Press, 1978) Chap. 3.
K. Ahmed and M.A. Mughal, Nucl. Phys., B 388 (1992) 509.
F. Boehm and P. Vogel, Physics of massive neutrinos, Second edition (Cambridge University Press, 1992) Chap. 5.
R. Geprags et al., Phys. Rev, D 49 (1994) 5582.
E.Kh. Akhmedov and O.V. Bychuk, Sov. Phys. JETP, 68 (1989) 250.
B. Cheng, D.N. Schramm and J.W. Truran, Phys. Rev, D 49 (1994) 5006.
E.W. Kolb and M.S. Turner, The Early Universe, (Addison-Wesley Publishing Company, 1990).
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Esposito, S., Capone, G. Neutrino propagation in a medium with a magnetic field. Z. Phys. C - Particles and Fields 70, 55–63 (1996). https://doi.org/10.1007/s002880050080
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DOI: https://doi.org/10.1007/s002880050080