The mixing angles in matter for three generations of neutrinos and the MSW mechanism | Zendy

Helmut W. Zaglauer | Zendy; K.H. Schwarzer | Zendy

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The mixing angles in matter for three generations of neutrinos and the MSW mechanism

Author(s) -

Helmut W. Zaglauer,

K.H. Schwarzer

Publication year - 1988

Publication title -

zeitschrift für physik c

Language(s) - English

Resource type - Journals

eISSN - 1431-5858

pISSN - 0170-9739

DOI - 10.1007/bf01555889

Subject(s) - neutrino , physics , mixing (physics) , particle physics , degenerate energy levels , parametrization (atmospheric modeling) , resonance (particle physics) , neutrino oscillation , pontecorvo–maki–nakagawa–sakata matrix , eigenvalues and eigenvectors , sterile neutrino , quantum mechanics , radiative transfer

Mikheyev and Smirnov have recently shown that oscillations between two species of neutrinos may be amplified in matter. We give analytic expressions for the energy eigenvalues, all the mixing angles and the CP-violating phase in matter for three generations of neutrinos using the Fritzsch parametrization for the flavor mixing matrix. For clearly separated neutrino masses ?m312»?m212 we find two MSW resonance effects—one forve?vµ and one forve?vt conversions —which can each be approximated by a separate two neutrino treatment as has been recently shown by Kuo and Pantaleone. Nearly degenerate neutrino masses ?m312~?m212 on the other hand lead to only one resonance region withs1 2m 2 no longer necessarily approaching 1 for very high densities.

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