Double parton correlations in Light-Front constituent quark models

¹ Dipartimento di Fisica e Geologia, Università degli Studi di Perugia, and INFN, sezione di Perugia, via A. Pascoli 06100 Perugia, Italy
² Dipartimento di Fisica e Geologia, Università degli Studi di Perugia, and INFN, sezione di Perugia, via A. Pascoli 06100 Perugia, Italy
³ Dipartimento di Fisica, Università degli studi di Trento, and INFN-TIFPA, via Sommarive 14, I - 38123 Povo (Trento), Italy
⁴ Departament de Fisica Teòrica, Universitat de València and Institut de Fisica Corpuscular, Consejo Superior de Investigaciones Científicas, 46100 Burjassot (València), Spain

^a e-mail: matteo.rinaldi@pg.infn.it
^b e-mail: sergio.scopetta@pg.infn.it
^c e-mail: traini@science.unitn.it
^d e-mail: vicente.vento@uv.es

Published online: 24 March 2015

Abstract

Double parton distribution functions (dPDF) represent a tool to explore the 3D proton structure. They can be measured in high energy proton-proton and proton nucleus collisions and encode information on how partons inside a proton are correlated among each other. dPFDs are studied here in the valence quark region, by means of a constituent quark model, where two particle correlations are present without any additional prescription. This framework allows to understand the dynamical origin of the correlations and to clarify which, among the features of the results, are model independent. Use will be made of a relativistic light-front scheme, able to overcome some drawbacks of the previous calculation. Transverse momentum correlations, due to the exact treatment of the boosts, are predicted and analyzed. The role of spin correlations is also shown. Due to the covariance of the approach, some symmetries of the dPDFs are seen unambigously. For the valence sector, also the study of the QCD evolution of the model results, which can be performed safely thanks to the property of good support, has been also completed.