Abstract
We analyze the evolution of a neutrino in an inhomogeneous electromagnetic field. Based on exact solutions to the equation describing both flavor oscillations and spin rotation, we obtain the probabilities of neutrino spin–flavor transitions. The propagation of a neutrino in the field of a point magnetic dipole is considered in detail. It is shown that in this case, the total probability of spin rotation depends on the angle between the direction of the neutrino velocity and the dipole axis. The results of analysis show that the effective reduction of the left-polarized neutrino flux from an astrophysical object with a high magnetic field or at the final stage of supernova collapse can be due to spin rotation both in the region with a high density of matter and during further propagation of the neutrino in the field surrounding the object.
Similar content being viewed by others
REFERENCES
B. Pontekorvo, Sov. Phys. JETP 6, 429 (1958).
L. Wolfenstein, Phys. Rev. D 17, 2369 (1978).
S. P. Mikheev and A. Yu. Smirnov, Sov. J. Nucl. Phys. 42, 913 (1985).
K. Fujikawa and R. E. Shrock, Phys. Rev. Lett. 45, 963 (1980).
R. E. Shrock, Nucl. Phys. B 206, 359 (1982).
A. E. Lobanov and A. I. Studenikin, Phys. Lett. B 515, 94 (2001); arXiv: hep-ph/0106101.
A. I. Studenikin, Phys. At. Nucl. 67, 993 (2004).
E. Kh. Akhmedov and M. Yu. Khlopov, Phys. Lett. B 213, 64 (1988).
C. Volpe, Int. J. Mod. Phys. E 24, 1541009 (2015); arXiv: 1506.06222 [hep-ph].
A. Kartavtsev, G. Raffelt, and H. Vogel, Phys. Rev. D 91, 125020 (2015); arXiv: 1504.03230 [hep-ph].
A. Dobrynina, A. Kartavtsev, and G. Raffelt, Phys. Rev. D 93, 125030 (2016); arXiv: 1605.04512 [hep-ph].
A. Vlasenko, G. M. Fuller, and V. Cirigliano, Phys. Rev. D 89, 105004 (2014);
arXiv: 1309.2628 [hep-ph].
A. I. Ternov, Phys. Rev. D 94, 093008 (2016).
A. I. Ternov, JETP Lett. 104, 75 (2016).
A. Grigoriev, E. Kupcheva, and A. Ternov, Phys. Lett. B 797, 134861 (2019).
P. Kurashvili, K. A. Kouzakov, L. Chotorlishvili, and A. I. Studenikin, Phys. Rev. D 96, 103017 (2017); arXiv: 1711.04303 [hep-ph].
V. O. Egorov and I. P. Volobuev, Phys. Rev. D 100, 033004 (2019).
M. Blasone and G. Vitiello, Ann. Phys. 244, 283 (1995).
C. Giunti, J. Phys. G: Nucl. Part. Phys. 34, R93 (2007).
R. Jost, Helv. Phys. Acta 39, 369 (1966).
A. E. Lobanov, Theor. Math. Phys. 192, 1000 (2017).
A. E. Lobanov, Ann. Phys. 403, 82 (2019); arXiv: 1507.01256 [hep-ph].
A. E. Lobanov and A. V. Chukhnova, Moscow Univ. Phys. Bull. 72, 454 (2017).
A. V. Chukhnova and A. E. Lobanov, Phys. Rev. D 101, 013003 (2020); arXiv: 1906.09351[hep-ph].
A. V. Chukhnova and A. E. Lobanov, Eur. Phys. J. C 81, 821 (2021); arXiv:2005.04503[hep-ph].
M. Dvornikov and J. Maalampi, Phys. Lett. B 657, 217 (2007).
A. Popov and A. Studenikin, Eur. Phys. J. C 79, 144 (2019); arXiv: 1902.08195 [hep-ph].
C. Giunti and A. Studenikin, Rev. Mod. Phys. 87, 531 (2015); arXiv: 1403.6344 [hep-ph].
S. L. Glashow, J. Iliopoulos, and L. Maiani, Phys. Rev. D 2, 1285 (1970).
F. R. Gantmakher, The Theory of Matrices (Fizmatlit, Moscow, 2010; Chelsea, New York, 1960).
A. E. Lobanov, J. Phys. A 39, 7517 (2006); arXiv: hep-ph/0311021.
C. Giunti and C. W. Kim, Fundamentals of Neutrino Physics and Astrophysics (Oxford Univ. Press, New York, 2007).
M. Agostini et al., Phys. Rev. D 96, 091103(R) (2017); arXiv: 1707.09355 [hep-ex].
A. G. Beda et al., Phys. Part. Nucl. Lett. 10, 139 (2013); arXiv: 1005.2736 [hep-ex].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields (Nauka, Moscow, 1988; Pergamon, Oxford, 1975)
S. B. Popov and M. E. Prokhorov, Tr. GAISh 72 (2003).
A. Yu. Potekhin, Phys. Usp. 53, 1235 (2010).
R. Turolla et al., Rep. Prog. Phys. 78, 116901 (2015).
V. M. Kaspi and A. M. Beloborodov, Ann. Rev. Astron. Astrophys. 55, 261 (2017).
Online McGill Magnetar Ctalogue. http://www.physics.mcgill.ca/pulsar/magnetar/main.html.
H. Nunokawa, V. B. Semikoz, A. Yu. Smirnov, and J. W. F. Valle, Nucl. Phys. B 501, 17 (1997).
ACKNOWLEDGMENTS
The authors are grateful to S.I. Blinnikov, A.V. Borisov, A.D. Dolgov, E.M. Murchikova, D.D. Sokolov, V.A. Sokolov, I.P. Volobuev, and V.Ch. Zhukovsky for fruitful discussions.
Funding
The research of A.V.Ch. was supported by the “Basis” Foundation for Development of Theoretical Physics and Mathematics (project no. 19-2-6-100-1).
Author information
Authors and Affiliations
Corresponding authors
Additional information
Translated by N. Wadhwa
Rights and permissions
About this article
Cite this article
Lobanov, A.E., Chukhnova, A.V. Asymmetry of the Propagation of Left-Handed Neutrinos in an Inhomogeneous Magnetic Field. J. Exp. Theor. Phys. 133, 515–523 (2021). https://doi.org/10.1134/S1063776121100034
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776121100034