Nonadiabatic neutrino oscillations in matter

Details Nonadiabatic neutrino oscillations in matter Nonadiabatic neutrino oscillations in matter

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.1930k&link_type=abstract

Physical Review D (Particles and Fields), Volume 39, Issue 7, 1 April 1989, pp.1930-1939

Mathematics

Probability

31

Quark And Lepton Masses And Mixing

Scientific paper

We examine the classical survival probability for neutrino propagation through matter of arbitrary density distributions. It is shown that the level-crossing probability can be calculated approximately for any density distribution by Landau's method. Exact solutions are discussed and new results are presented for a 1/r density distribution. From an examination of the exact solutions, we present an ansatz for generalizing Landau's method to a correct treatment of the extreme nonadiabatic limit. Our two-flavor results easily generalize to three flavors.

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