Properties of the Anomalous States of Positronium

TL;DR

This paper identifies and analyzes anomalous bound-state solutions of positronium that exhibit properties similar to neutrinos, revealing new quantum states with potential implications for particle physics.

Contribution

It demonstrates the existence of anomalous positronium states with unique properties, extending the Bethe-Salpeter equation to include these solutions and comparing them to neutrinos.

Findings

Anomalous positronium states have quantized nuclear-scale coordinates.

These states are orthogonal to standard positronium states.

Anomalous states exhibit properties similar to neutrinos.

Abstract

It is shown that there are anomalous bound-state solutions to the two-body Dirac equation for an electron and positron interacting via an electromagnetic potential. These anomalous solutions have quantized coordinates at nuclear distances (fermi) and are orthogonal to the usual atomic positronium bound-states as shown by a simple extension of the Bethe-Salpeter equation. It is shown that the anomalous states have many properties which correspond to those of neutrinos.