Light-cone Hamiltonian flow for positronium. The numerical solutions

TL;DR

This paper numerically solves the effective Hamiltonian for positronium using Hamiltonian flow equations in front form QED, including exchange and annihilation channels, and compares different similarity functions, achieving perfect agreement with other methods.

Contribution

It introduces a numerical solution of the effective Hamiltonian for positronium using Hamiltonian flow equations, incorporating exchange and annihilation channels, and evaluates the impact of various similarity functions.

Findings

Numerical solutions match other methods perfectly.

Different similarity functions are explicitly studied.

The approach includes both exchange and annihilation channels.

Abstract

The effective Hamiltonian, as obtained from applying the Hamiltonian flow equations to front form QED, are solved numerically for positronium. Both the exchange and the annihilation channels are included. The impact of different similarity functions is explicitly studied. Perfect numerical agreement with other methods is found.