Three Neutrino Oscillations in Matter

Abstract

Following similar approaches in the past, the Schrodinger equation for three neutrino propagation in matter of constant density is solved analytically by two successive diagonalizations of 2x2 matrices. The final result for the oscillation probabilities is obtained directly in the conventional parametric form as in the vacuum but with explicit simple modification of two mixing angles (${\theta }_{12}$ and ${\theta }_{13}$) and mass eigenvalues.

added discussion of results, one appendix is removed

References in corpus (3)

• CP Violation and Neutrino Oscillations
• Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 2: The Physics Program for DUNE at LBNF
• Compact Perturbative Expressions For Neutrino Oscillations in Matter

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