Mikheyev-Smirnov-Wolfenstein Effect for Linear Electron Density

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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14 pages

Scientific paper

10.1007/s002200100394

When the electron density is a linear function of distance, it is known that the MSW equations for two neutrino species can be solved in terms of known functions. It is shown here that more generally, for any number of neutrino species, these MSW equations can be solved exactly in terms of single integrals. While these integrals cannot be expressed in terms of known functions, some of their simple properties are obtained. Application to the solar neutrino problem is briefly discussed.

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