Neutrino-mass differences studied in a model with one basic neutrino

TL;DR

This paper introduces a simplified neutrino model with a single basic neutrino, deriving mass difference ratios that approximate experimental values but with notable discrepancies.

Contribution

It proposes a novel neutrino model reducing three flavors to one, providing analytical expressions for mass differences.

Findings

Derived a ratio of neutrino-mass differences as 17

Compared theoretical ratio with experimental value 33

Provided an approximate expression for mass difference ratios

Abstract

In this paper, we propose and study a model, in which there exists only one basic neutrino. Basically, the Lagrangian of the model is obtained from the Lagrangian in the Glashow-Weinberg-Salam electroweak theory by reducing the three flavor neutrinos there to one basic neutrino. In this model, neutrino states with a fixed flavor are interpreted as certain superpositions of states of the basic neutrino and states of the related charged lepton. Neutrino mass states are associated with low-lying eigenstates of the total Hamiltonian. We derive an approximate expression for a ratio of neutrino-mass differences, which gives a value $17$ for the ratio, about half of the experimental result of $33$.