# Double parton distributions for a positronium-like bound state using light-front wave functions

## TL;DR

This paper calculates double parton distributions for a positronium-like bound state using light-front QED, including higher Fock states with a photon, to study particle correlations without factorization assumptions.

## Contribution

It introduces an overlap representation of DPDs with three-particle light-front wave functions, incorporating higher Fock components in the analysis.

## Key findings

- DPDs depend on momentum fractions and transverse distance without factorization.
- Behavior of DPDs near the kinematic boundary is analyzed.
- Correlations between particles are explicitly characterized.

## Abstract

We investigate the double parton distributions (DPDs) for a positronium-like bound state using light-front QED. We incorporate the higher Fock three particle component of the state, that includes a photon. We obtain the overlap representation of the DPDs in terms of the three-particle light-front wave functions (LFWFs). Our calculation explores the correlations between the momentum fractions of the particles probed and the transverse distance between them, without any assumption of factorization between them. We also investigate the behavior of the DPDs near the kinematical boundary when the sum of the momentum fractions is close to one.