Important remarks to Wolfenstein's equation for passing neutrino through the matter

Abstract

It is supposed that while neutrino passing through the matter a resonance enhancement of neutrino oscillations in the matter appears. It is shown that Wolfenstein's equation, for neutrino passing through the matter, contains a disadvantage (does not take into account the law of momentum conservation). It leads, for example, to changing of the effective mass of neutrino by the value of $0.87 \cdot 10^{-2} eV$ from the very small value of the energy polarization of the matter caused by neutrino which is equal to $5 \cdot 10^{-12} eV$. After removing this disadvantage (i.e., taking into account this law) we have obtained a solution of this equation. In this solution a very small enhancement of neutrino oscillations in the matter appears due to the smallness of the energy polarization of the matter caused by neutrino.