Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-08-25
Nuclear Physics B vol. 855, pp. 760-773 (2012)
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, two columns, Revtex4.1; 1 new reference is added, multiple typos are corrected; version to be published in Nucl. Phy
Scientific paper
10.1016/j.nuclphysb.2011.10.025
We describe the system of massive Weyl fields propagating in a background matter and interacting with an external electromagnetic field. The interaction with an electromagnetic field is due to the presence of anomalous magnetic moments. To canonically quantize this system first we develop the classical field theory treatment of Weyl spinors in frames of the Hamilton formalism which accounts for the external fields. Then, on the basis of the exact solution of the wave equation for a massive Weyl field in a background matter we obtain the effective Hamiltonian for the description of spin-flavor oscillations of Majorana neutrinos in matter and a magnetic field. Finally, we incorporate in our analysis the neutrino self-interaction which is essential when the neutrino density is sufficiently high. We also discuss the applicability of our results for the studies of collective effects in spin-flavor oscillations of supernova neutrinos in a dense matter and a strong magnetic field.
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