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Mikheyev-Smirnov-Wolfenstein effect for linear electron density. (English) Zbl 0989.81143

Summary: 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.

MSC:

81V25 Other elementary particle theory in quantum theory
85A99 Astronomy and astrophysics
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