Subsolutions of the Dirac equation and WIMP dark matter

TL;DR

This paper explores subsolutions of the Dirac equation, proposing that certain decompositions could identify non-neutrino WIMP candidates for dark matter.

Contribution

It introduces a new decomposition of the Dirac equation for massive particles, suggesting potential WIMP dark matter candidates beyond neutrinos.

Findings

New decomposition of the Dirac equation for massive particles

Identification of potential WIMP dark matter candidates

Extension of known neutrino subsolutions

Abstract

In the present paper we study subsolutions of the Dirac equation. The known examples of such subsolutions are the Weyl neutrino and the Majorana neutrino. It is shown that the Dirac equation for a massive non-interacting particle admits another decomposition into two separate equations. It is suggested that such particles can be identified with weakly interacting massive particles, other than neutrinos and of non-exotic nature, which can be candidates for dark matter.