# An analytic solution to the spin flavor precession for solar Majorana neutrinos in the case of three neutrino generations

## TL;DR

This paper derives approximate analytical formulas for spin flavor precession of Majorana neutrinos across three generations, enhancing understanding of neutrino behavior in solar magnetic fields.

## Contribution

It provides the first comprehensive analytical formulas including all transition magnetic moments for three-generation Majorana neutrinos in the SFP framework.

## Key findings

- Formulas accurately predict electron neutrino survival probabilities.
- Formulas effectively describe electron neutrino to anti-neutrino transitions.
- Validation against different solar magnetic field profiles confirms robustness.

## Abstract

The spin flavor precession (SFP) is investigated in the three neutrino generation case assuming that the neutrinos are Majorana type. Approximate analytical formulas including all transition magnetic moments are provided for the electron neutrino survival probability and electron neutrino -> electron anti-neutrino transition probability in the SFP framework. The accuracy of the formulas is checked out for two different magnetic field profiles in the Sun.