English

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

General Physics 2010-06-22 v1 High Energy Physics - Phenomenology

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 0.87102eV0.87 \cdot 10^{-2} eV from the very small value of the energy polarization of the matter caused by neutrino which is equal to 51012eV5 \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.

Keywords

Cite

@article{arxiv.1006.3960,
  title  = {Important remarks to Wolfenstein's equation for passing neutrino through the matter},
  author = {Kh. M. Beshtoev},
  journal= {arXiv preprint arXiv:1006.3960},
  year   = {2010}
}

Comments

12 pages