Describing Analytically the Matter-Enhanced Two-Neutrino Transitions in a Medium

Details Describing Analytically the Matter-Enhanced Two-Neutrino Transitions in a Medium Describing Analytically the Matter-Enhanced Two-Neutrino Transitions in a Medium

1999-10-14

arxiv.org/abs/hep-ph/9910335v1

Phys.Lett.B406:355,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, latex; published in Phys. Lett. B406 (1997) 355

Scientific paper

10.1016/S0370-2693(97)00704-1

A general exact analytic expression for the probability of matter-enhanced two-neutrino transitions in a medium (MSW, RSFP, generated by neutrino FCNC interactions, etc.) is derived. The probability is expressed in terms of three real functions of the parameters of the transitions: the ``jump'' probability and two phases (angles). The results obtained can be utilized, in particular, in the studies of the matter-enhanced transitions/conversions of solar and supernova neutrinos. An interesting similarity between the Schroedinger equation for the radial part of the non-relativistic wave function of the hydrogen atom and the equation governing the MSW transitions of solar neutrinos in the exponentially varying matter density in the Sun is also briefly discussed.

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