The Scattering of Dirac and Majorana Fermions in Spherically Symmetric Gravitational Field and Torsion Field

TL;DR

This paper investigates how gravitational and torsion fields affect the scattering of Dirac and Majorana fermions, finding that vector torsion can distinguish between the two types of neutrinos.

Contribution

It demonstrates that gravitational interactions are similar for Dirac and Majorana fermions in spherical symmetry, but vector torsion coupling can differentiate them.

Findings

Scattering in spherical gravitational fields is identical for Dirac and Majorana fermions at first order.

Scattering behaviors are the same under axial vector torsion.

Vector torsion coupling can distinguish Dirac from Majorana neutrinos.

Abstract

The possibility to distinguish Dirac from Majorana fermion by gravitational interaction and torsion coupling is discussed. The scattering of both Dirac and Majorana particles are the same in the spherically symmetric gravitational field up to the first order perturbation of the fermion-gravity interaction. The scattering behaviors of Dirac and Majorana fermion are also the same by axial vector torsion but different by vector torsion. We get the conclusion that the scattering by vector torsion field can distinguish the Dirac from Majorana neutrino.