Ortho-Positronium Three-Photon Decays: Physics Constraints and a Closed-Form Energy Method for Annihilation Vertex Reconstruction

TL;DR

This paper explores the physics of orthopositronium three-photon decay, emphasizing energy-momentum constraints and presenting a closed-form analytical method for reconstructing the annihilation vertex.

Contribution

It introduces a novel closed-form energy-based algorithm for annihilation vertex reconstruction, grounded in the physics of orthopositronium decay.

Findings

Derived physical constraints on decay solutions

Developed a closed-form analytical reconstruction algorithm

Enhanced understanding of annihilation vertex determination

Abstract

We examine the physical foundations of orthopositronium three-photon decay in the context of annihilation vertex reconstruction, focusing on how energy-momentum conservation constrains the space of physically admissible solutions. Finally, we provide a closed-form analytical derivation of an energy-based vertex reconstruction algorithm.