Neutrino oscillation in a space-time with torsion

TL;DR

This paper investigates how torsion in space-time influences neutrino oscillations within the Einstein-Cartan-Dirac framework, finding that torsion affects oscillations only when they already occur due to other factors.

Contribution

It demonstrates that torsion does not induce neutrino oscillations but significantly impacts them under certain high-density conditions, extending understanding of torsion's role in neutrino physics.

Findings

Torsion does not induce neutrino oscillation on its own.

Torsion affects neutrino oscillation when oscillations are present due to other reasons.

The torsion effect is comparable to the neutrino mass effect at extremely high densities.

Abstract

Using the Einstein-Cartan-Dirac theory, we study the effect of torsion on neutrino oscillation. We see that torsion cannot induce neutrino oscillation, but affects it whenever oscillation exists for other reasons. We show that the torsion effect on neutrino oscillation is as important as the neutrino mass effect, whenever the ratio of neutrino number density to neutrino energy is $\sim 10^{69}$ cm$^{-3}$ /eV, or the number density of the matter is $\sim 10^{69}$ cm$^{-3}$.