Double parton distributions in the pion in the Nambu and Jona-Lasinio model

Abstract

Two-parton correlations in the pion, a non perturbative information encoded in double parton distribution functions, are investigated in the Nambu and Jona-Lasinio model. It is found that double parton distribution functions expose novel dynamical information on the structure of the pion, not accessible through one-body parton distributions, as it happens in several estimates for the proton target and in a previous evaluation for the pion, in a light-cone framework. Expressions and predictions are given for double parton distributions corresponding to leading-twist Dirac operators in the quark vertices, and to different regularization methods for the Nambu and Jona-Lasinio model. These results are particularly relevant in view of forthcoming lattice data.

22 pages, 6 figures

References in corpus (3)

• Double parton correlations and constituent quark models: a Light Front approach to the valence sector
• Correlations in Double Parton Distributions: Perturbative and Non-Perturbative effects
• The effective cross section for double parton scattering within a holographic AdS/QCD approach

Cited by in corpus (17)

• Double parton distribution of valence quarks in the pion in chiral quark models
• Sum rule improved double parton distributions in position space
• The pion in the graviton soft-wall model: phenomenological applications
• Double parton distributions in the pion from lattice QCD
• Two-loop splitting in double parton distributions: the colour non-singlet case
• Double parton distributions in the nucleon from lattice QCD
• Nucleon form factors and parton distributions in nonlocal chiral effective theory
• Double parton correlations in mesons within AdS/QCD soft-wall models: a first comparison with lattice data
• Two-current correlations in the pion in the Nambu and Jona-Lasinio model
• Baryonic form factors of the pion and kaon in a chiral quark model
• Quark mass effects in double parton distributions
• Double parton distributions of the proton from basis light-front quantization
• Applications of the Nambu--Jona-Lasinio model to the partonic structure of the pion
• Double parton distributions with flavor interference from lattice QCD
• Parton distribution and fragmentation functions with massive gluons
• On sum rules for double and triple parton distribution functions and Pythia's model of multiple parton interactions
• Topological entanglement and number theory