Positronium on the light front

Abstract

Basis Light-front Quantization (BLFQ) is a newly developed nonperturbative approach, aiming at solving relativistic bound systems based on the Hamiltonian formalism of light-front dynamics. In this work, we introduce its application to the positronium system at strong coupling, $\alpha =0.3$, with a dynamical photon mediating the interaction between the positron and the electron. Nonperturbative mass renormalization is needed to cancel the fermion self-energy divergence. Here, we present the resulting mass spectrum, light-front wave functions (LFWFs), and the photon distribution inside positronium.

Comments: 5 pages, 6 figures, contribution to the proceedings of the XVIII International Conference on Hadron Spectroscopy and Structure (HADRON2019), Guilin, China, 16-21 August 2019