Analytical study of the neutrino iscillation probalities in the matter in three generations

Author(s)

Caio Augusto Pelegrina Del Bianco Licciardi

• Document type: Master's Dissertation
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
• Defense date: 2007-08-09

Examining board members

Renata Zukanovich Funchal; Gustavo Alberto Burdman; Alberto Martin Gago Medina

• Advisor: Renata Zukanovich Funchal

Abstract

In this project we realized a study about the formulas of neutrino oscillation probabilities in matter in two and three generations. We studied the neutrino oscillation phenomenology and its experiments. We reviewed all the analytic expressions to the exact and aproximate solutions known at the literature to the conversion probabilities, as well as we have developed new ones. We showed that the same potentials which have exact solutions in two generations, also have exact solutions in three generations. By using the proposed formalism in this dissertation to the resolution of the evolution equation of neutrinos in matter, we ruled out the existence of other potentials not discussed here that have exact solution in terms of the special functions that are special cases or limits of the generalized hypergeometric function. (AU)