Abstract
We study the system of massive and mixed neutrinos interacting with background matter moving with an acceleration. We start with the derivation of the Dirac equation for a single neutrino in the noninertial frame where matter is at rest. A particular case of matter rotating with a constant angular velocity is considered. The Dirac equation is solved and the neutrino energy levels are found for ultrarelativistic particles propagating in rotating matter. Then we generalize our results to include several neutrino generations and consider mixing between them. Using the relativistic quantum mechanics approach we derive the effective Schrödinger equation for the description of neutrino flavor oscillations in rotating matter. We obtain the resonance condition for neutrino oscillations and examine how it can be affected by the matter rotation. We also compare our results with the findings of other authors who studied analogous problem previously.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Bellini, L. Ludhova, G. Ranucci and F.L. Villante, Neutrino oscillations, Adv. High Energy Phys. 2014 (2014) 191960 [arXiv:1310.7858] [INSPIRE].
M. Blennow and A.Y. Smirnov, Neutrino propagation in matter, Adv. High Energy Phys. 2013 (2013) 972485 [arXiv:1306.2903] [INSPIRE].
C. Broggini, C. Giunti and A. Studenikin, Electromagnetic Properties of Neutrinos, Adv. High Energy Phys. 2012 (2012) 459526 [arXiv:1207.3980] [INSPIRE].
D.V. Ahluwalia and C. Burgard, Gravitationally induced quantum mechanical phases and neutrino oscillations in astrophysical environments, Gen. Rel. Grav. 28 (1996) 1161 [gr-qc/9603008] [INSPIRE].
G. Lambiase, Neutrino oscillations in non-inertial frames and the violation of the equivalence principle. Neutrino mixing induced by the equivalence principle violation, Eur. Phys. J. C 19 (2001) 553 [INSPIRE].
M. Dvornikov and C. Dib, Spin-down of neutron stars by neutrino emission, Phys. Rev. D 82 (2010) 043006 [arXiv:0907.1445] [INSPIRE].
B. Basu and D. Chowdhury, Inertial effect on spin orbit coupling and spin transport, Annals Phys. 335 (2013) 47 [arXiv:1302.1063] [INSPIRE].
C. Giunti and C.W. Kim, Fundamentals of Neutrino Physics and Astrophysics, Oxdord University Press, Oxford U.K. (2007) pgs. 137-179.
M. Dvornikov and A. Studenikin, Neutrino spin evolution in presence of general external fields, JHEP 09 (2002) 016 [hep-ph/0202113] [INSPIRE].
X. Qian and W. Wang, Reactor neutrino experiments: θ 13 and beyond, Mod. Phys. Lett. A 29 (2014) 1430016 [arXiv:1405.7217] [INSPIRE].
S.T. Petcov, The Nature of Massive Neutrinos, Adv. High Energy Phys. 2013 (2013) 852987 [arXiv:1303.5819] [INSPIRE].
A.A. Grib, S.G. Mamaev and V.M. Mostepanenko, Quantum Effects in Intense External Fields: Methods and Results not Related to the Perturbation Theory, Atomizdat, Moscow Russia (1980), pgs. 13-15.
D. Píriz, M. Roy and J. Wudka, Neutrino oscillations in strong gravitational fields, Phys. Rev. D 54 (1996) 1587 [hep-ph/9604403] [INSPIRE].
L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields, Butterworth Heinemann, Amsterdam (1994), 4th edn., pgs. 329-330.
K. Bakke, Rotating effects on the Dirac oscillator in the cosmic string spacetime, Gen. Rel. Grav. 45 (2013) 1847 [arXiv:1307.2847] [INSPIRE].
P. Schluter, K. Wietschorke and W. Greiner, The Dirac equation on orthogonal coordinate systems: I. The local representation, J. Phys. A 16 (1983) 1999 [INSPIRE].
C. Itzykson and J.-B. Zuber, Quantum Field Theory, McGraw-Hill, New York U.S.A. (1980), pgs. 691-696.
F.W. Hehl and W.-T. Ni, Inertial effects of a Dirac particle, Phys. Rev. D 42 (1990) 2045 [INSPIRE].
M. Dvornikov, Field theory description of neutrino oscillations, in Neutrinos: Properties, Sources and Detection, J.P. Greene eds., Nova Science Publishers, New York (2011), pgs. 23-90 [arXiv:1011.4300] [INSPIRE].
M. Dvornikov, Neutrino Flavor Oscillations in Rotating Matter, Azerbaij. Astron. J. 6 (2011) 5 [arXiv:1001.2516] [INSPIRE].
I. Balantsev, Y. Popov and A. Studenikin, Neutrino magnetic moment and neutrino energy quantization in rotating media, Nuovo Cim. C32N5-6 (2009) 53 [arXiv:0906.2391] [INSPIRE].
A.E. Lobanov and A.I. Studenikin, Neutrino oscillations in moving and polarized matter under the influence of electromagnetic fields, Phys. Lett. B 515 (2001) 94 [hep-ph/0106101] [INSPIRE].
A. Kusenko and G. Segrè, Velocities of pulsars and neutrino oscillations, Phys. Rev. Lett. 77 (1996) 4872 [hep-ph/9606428] [INSPIRE].
S. Johnston et al., Evidence for alignment of the rotation and velocity vectors in pulsars, Mon. Not. Roy. Astron. Soc. 364 (2005) 1397 [astro-ph/0510260] [INSPIRE].
G. Lambiase, Pulsar kicks induced by spin flavor oscillations of neutrinos in gravitational fields, Mon. Not. Roy. Astron. Soc. 362 (2005) 867 [astro-ph/0411242] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1408.2735
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Dvornikov, M. Neutrino interaction with matter in a noninertial frame. J. High Energ. Phys. 2014, 53 (2014). https://doi.org/10.1007/JHEP10(2014)053
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2014)053