Double parton correlations in constituent quark models

TL;DR

This paper investigates double parton correlations within constituent quark models, revealing significant longitudinal momentum correlations and small transverse momentum correlations, and clarifies their dynamical origins and model dependencies.

Contribution

It provides a detailed analysis of double parton correlations in constituent quark models, highlighting their dynamical origin and model dependence, especially regarding transverse momentum correlations.

Findings

Longitudinal momentum correlations are sizable.

Transverse momentum correlations are much smaller.

Correlations depend on the quark orbital angular momentum.

Abstract

Double parton correlations, having effects on the double parton scattering processes occurring in high-energy hadron-hadron collisions, for example at the LHC, are studied in the valence quark region, within constituent quark models. In this framework, two particle correlations are present without any additional prescription, at variance with what happens, for example, in independent particle models, such as the MIT bag model in its simplest version. From the present analysis, conclusions similar to the ones obtained recenty in a modified version of the bag model can be drawn: correlations in the longitudinal momenta of the active quarks are found to be sizable, while those in transverse momentum are much smaller. However, the used framework allows to understand clearly the dynamical origin of the correlations. In particular, it is shown that the small size of the correlations in transverse momentum is a model dependent result, which would not occur if models with sizable quark orbital angular momentum were used to describe the proton. Our analysis permits therefore to clarify the dynamical origin of the double parton correlations and to establish which, among the features of the results, are model independent. The possibility to test experimentally the studied effects is discussed.