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.
Highlights
We investigate the behavior of the double parton distributions (DPDs) near the kinematical boundary when the sum of the momentum fractions is close to 1
As the flux of partons increases in high-energy hadronic collision experiments, the probability of having more than one independent hard scattering interaction increases, and a proper description of final states in hadronic collisions requires the inclusion of multiple partonic interactions (MPIs)
We have presented a calculation of the electron-positron unpolarized DPD for a positroniumlike bound state in LF QED
Summary
As the flux of partons increases in high-energy hadronic collision experiments, the probability of having more than one independent hard scattering interaction increases, and a proper description of final states in hadronic collisions requires the inclusion of multiple partonic interactions (MPIs). DPS can be factorized in terms of the hard interactions, which are calculable in perturbation theory and the double parton distribution (DPDs) functions. The model calculations can be thought of as a parametrization of the DPDs at a low momentum scale, and one evolves them to a higher scale of the experiments, using the evolution equation; such evolution equations have been obtained and discussed in detail [45]. As it is very difficult to solve the LF bound-state equation, in particular to obtain the wave functions of the higher Fock sector, most model calculations are restricted to using the three-quark valence LFWF for the proton. The LFWFs of the two-particle state were calculated in perturbation theory This may be thought of as a field theory– based perturbative model, to investigate the quark-gluon correlations in the DPDs. the kinematics of a two-particle system are rather constrained.
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