Two-photon decay of para-positronium within a composite approach

Abstract

The decay of the para-positronium into two photons is studied in the framework of a composite Quantum Field Theoretical approach. This amounts to the evaluation of the electron-positron dressing together with the Weinberg compositeness condition for the positronium and the triangle-shaped diagram with virtual electrons circulating in it, leading to the two-photon final state. An important role is played by the positronium-electron-positron vertex, which is linked to the wave function of the para-positronium. We show how possible choices for the vertex function affect the $\gamma \gamma$ decay rate. Outlooks to other decay channels and to other positronia are presented.

Comments: 8 pages, 3 figures, 2 tables, Prepared for the proceedings of the 5th Jagiellonian Symposium on `Advances in Particle Physics and Medicine', June 29 - July 7 2024, Cracow, Poland