Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-03-23
Eur.Phys.J.C20:507-515,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 8 figures, RevTeX. Final version to be published in European Physical Journal C
Scientific paper
10.1007/s100520100687
In this paper, we discuss the evolution operator and the transition probabilities expressed as functions of the vacuum mass squared differences, the vacuum mixing angles, and the matter density parameter for three flavor neutrino oscillations in matter of varying density in the plane wave approximation. The applications of this to neutrino oscillations in a model of the Earth's matter density profile, step function matter density profiles, constant matter density profiles, linear matter density profiles, and finally in a model of the Sun's matter density profile are discussed. We show that for matter density profiles, which do not fluctuate too much, the total evolution operator consisting of $n$ operators can be replaced by one single evolution operator in the semi-classical approximation.
Ohlsson Tommy
Snellman Hakan
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