Neutral Particles in Light of the Majorana-Ahluwalia Ideas

TL;DR

This paper reviews the theory of neutral particles, discusses recent developments by Ahluwalia relevant to neutrino physics, and explores new wave equations for self/anti-self conjugate spinors with potential applications to neutrino oscillations.

Contribution

It introduces covariant forms of new wave equations for self/anti-self conjugate spinors and connects them to existing quantum field theories, advancing understanding of neutral particles.

Findings

New covariant wave equations for self/anti-self conjugate spinors.

Connection established with Foldy-Nigam-Bargmann-Wightman-Wigner theory.

Potential implications for neutrino oscillation explanations.

Abstract

The first part of this article (Sections I and II) presents oneself an overview of theory and phenomenology of truly neutral particles based on the papers of Majorana, Racah, Furry, McLennan and Case. The recent development of the construct, undertaken by Ahluwalia [{\it Mod. Phys. Lett. A}{\bf 9} (1994) 439; {\it Acta Phys. Polon. B}{\bf 25} (1994) 1267; Preprints LANL LA-UR-94-1252, LA-UR-94-3118], could be relevant for explanation of the present experimental situation in neutrino physics and astrophysics. In Section III the new fundamental wave equations for self/anti-self conjugate type-II spinors, proposed by Ahluwalia, are re-casted to covariant form. The connection with the Foldy-Nigam-Bargmann-Wightman- Wigner (FNBWW) type quantum field theory is found. The possible applications to the problem of neutrino oscillations are discussed.