Three-photon annihilation of the electron-positron pairs

TL;DR

This paper derives and investigates an analytical expression for the cross-section of three-photon annihilation of electron-positron pairs, applicable across arbitrary positron energies in the electron rest frame.

Contribution

It provides the first analytical formula for the three-photon annihilation cross-section of electron-positron pairs at any positron energy.

Findings

Derived an analytical expression for the cross-section.

Analyzed the cross-section across different positron energies.

Enhanced understanding of three-photon annihilation processes.

Abstract

Three-photon annihilation of the electron-positron pairs (= $(e^{-}, e^{+})-$pairs) is considered in the electron rest frame. The energy of the incident positron can be arbitrary. The analytical expression for the cross-section of three-photon annihilation of the $(e^{-},e^{+})-$pair has been derived and investigated.