Neutrino evolution in dense matter and electromagnetic field

A. E. Lobanov,I. Volobuev,D. Melikhov,A. V. Chukhnova

doi:10.1051/epjconf/201922203001

Abstract

Neutrino evolution in dense matter and electromagnetic field is studied within quantum-field theoretical description on the base of a modification of the Standard Model, where the neutrinos are combined in S U(3)-multiplets. A quantum wave equation for neutrino in matter and electromagnetic field is obtained. In quasi-classical approximation a general method for calculating the probabilities of different spin-flavor transitions of neutrino in constant homogeneous field and moving matter with constant polarization is developed. In two-flavor model the explicit form of the solutions is obtained in constant electromagnetic field taking into account the transition magnetic moments. The obtained spin-flavor transition probabilities are compared to the results for unpolarized moving matter.

Highlights

Oscillations of ultra-relativistic neutrinos in vacuum are well-described within the phenomenological theory of neutrino oscillations, based on pioneer papers [1, 2]
The interaction with the medium is taken into account with the help of an effective potential [4]. This interaction results in modification of the phenomenological formulas for neutrino oscillations
For high energy neutrinos this dependence is in agreement with the phenomenological formulas for neutrino oscillations

Summary

Introduction

Oscillations of ultra-relativistic neutrinos in vacuum are well-described within the phenomenological theory of neutrino oscillations, based on pioneer papers [1, 2] (see [3]). The interaction with the medium is taken into account with the help of an effective potential [4]. This interaction results in modification of the phenomenological formulas for neutrino oscillations. One-particle wave functions are elements of the representation space of the direct product of Poincaré group and S U(3) group This helps to overcome the difficulties in constructing the Fock space for the neutrino, which are discussed, e.g., in [8]. Since the mass states are well-defined, the interaction with the electromagnetic field may be taken into account with the use of the Pauli terms, and the neutrino wave equation is as follows [11]. The matrices Mh, Mah in the flavor representation may be obtained with the use of the mixing matrix U

Quasi-classical approximation

Exact solution

Summary