Neutrino-assisted fermion-boson transitions

TL;DR

This paper explores how neutrino fields can facilitate reversible transitions between fermions and bosons via Dirac and Duffin-Kemmer-Petiau equations, linking particle types in specific external fields.

Contribution

It introduces a novel method to convert Dirac equations into spin-0 Duffin-Kemmer-Petiau equations using neutrino fields, expanding understanding of particle transitions.

Findings

Fermion-boson transitions are possible via neutrino-assisted equations.

Reversible transformations occur in external fields with neutrino spinors.

Transitions align with pion decay processes.

Abstract

We study fermion-boson transitions. Our approach is based on the $3\times 3$ subequations of Dirac and Duffin-Kemmer-Petiau equations, which link these equations. We demonstrate that free Dirac equation can be invertibly converted to spin-$0$ Duffin-Kemmer-Petiau equation in presence of a neutrino field. We also show that in special external fields, upon assuming again existence of a neutrino (Weyl) spinor, the Dirac equation can be transformed reversibly to spin-$0$ Duffin-Kemmer-Petiau equation. We argue that such boson-fermions transitions are consistent with the main channel of pion decay.