# Double parton distributions in the pion in the Nambu–Jona-Lasinio model

@article{Courtoy2019DoublePD, title={Double parton distributions in the pion in the Nambu–Jona-Lasinio model}, author={Aurore Courtoy and Santiago Noguera and Sergio Scopetta}, journal={Journal of High Energy Physics}, year={2019}, volume={2019}, pages={1-25} }

Two-parton correlations in the pion, a non perturbative information encoded in double parton distribution functions, are investigated in the Nambu–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…

## 11 Citations

Double parton distributions in the nucleon from lattice QCD

- PhysicsJournal of High Energy Physics
- 2021

Abstract
We evaluate nucleon four-point functions in the framework of lattice QCD in order to extract the first Mellin moment of double parton distributions (DPDs) in the unpolarized proton. In this…

Double parton distributions of the pion in the NJL model

- Physics
- 2020

We evaluate the valence double parton distribution (dPDF) of the pion in the Nambu--Jona-Lasinio model. At the low-energy quark-model scale and in the chiral limit a particularly simple factorized…

Baryonic form factors of the pion and kaon in a chiral quark model

- Physics
- 2021

The recently uncovered baryonic form factor of charged pions is studied in detail in the Nambu–Jona-Lasinio model with constituent quarks, where the spontaneously broken chiral symmetry is the key…

Two-loop splitting in double parton distributions: the colour non-singlet case

- Physics
- 2021

At small inter-parton distances, double parton distributions receive their dominant contribution from the splitting of a single parton. We compute this mechanism at next-to-leading order in…

Double parton distribution of valence quarks in the pion in chiral quark models

- Physics
- 2020

The valence double parton distribution of the pion is analyzed in the framework of chiral quark models, where in the chiral limit factorization between the longitudinal and transverse degrees of…

Kaon generalized parton distributions and light-front wave functions in the Nambu–Jona-Lasinio model

- PhysicsThe European Physical Journal C
- 2021

<jats:p>Kaon generalized parton distributions (GPDs) and the leading Fock state light-front wave functions are investigated in the framework of Nambu–Jona-Lasinio model with proper time…

Double parton distributions in the pion from lattice QCD

- Physics
- 2020

We perform a lattice study of double parton distributions in the pion, using the relationship between their Mellin moments and pion matrix elements of two local currents. A good statistical signal is…

Applications of the Nambu–Jona-Lasinio model to the partonic structure of the pion

- Physics
- 2020

We present a brief review of results of chiral quark models for soft matrix elements in the pion state, appearing in high-energy processes as well as accessible in present and future lattice studies.…

Double parton correlations in mesons within AdS/QCD soft-wall models: a first comparison with lattice data

- Physics
- 2020

Double parton distribution functions (dPDFs), entering the double parton scattering (DPS) cross section, are unknown fundamental quantities encoding new interesting properties of hadrons. Here, the…

Sum rule improved double parton distributions in position space

- Physics
- 2020

Models for double parton distributions that are realistic and consistent with theoretical constraints are crucial for a reliable description of double parton scattering. We show how an ansatz that…

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