Space-Like Particle Production: an Interpretation Based on the Majorana Equation

TL;DR

This paper explores particle decay involving spacelike, timelike, and massless particles using the Majorana equation, providing insights into the development of tachyonic and bradyonic particles within relativistic quantum mechanics.

Contribution

It applies the Majorana equation to analyze decay processes involving spacelike particles, extending prior covariant kinematic approaches to include arbitrary spin particles.

Findings

Confirmed kinematic constraints for particle decay

Identified more favorable decay pathways involving spacelike particles

Extended understanding of tachyonic and bradyonic particle development

Abstract

This study reconsiders the decay of an ordinary particle in bradyons, tachyons and luxons in the field of the relativistic quantum mechanics. Lemke already investigated this from the perspective of covariant kinematics. Since the decay involves both spacelike and timelike particles, the study uses the Majorana equation for particles with an arbitrary spin. The equation describes the tachyonic and bradyonic realms of massive particles, and approaches the problem of how spacelike particles might develop. This method confirms the kinematic constraints that Lemke theory provided and proves that some possible decays are more favourable than others are.