Nonperturbative partonic quasidistributions of the pion from chiral quark models

We evaluate nonperturbatively the quark quasidistribution amplitude and the valence quark quasidistribution function of the pion in the framework of chiral quark models, namely the Nambu–Jona-Lasinio model and the Spectral Quark Model. We arrive at simple analytic expressions, where the nonperturbat...

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Main Authors: Wojciech Broniowski, Enrique Ruiz Arriola
Format: Article
Language:English
Published: Elsevier 2017-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269317306779
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author Wojciech Broniowski
Enrique Ruiz Arriola
author_facet Wojciech Broniowski
Enrique Ruiz Arriola
author_sort Wojciech Broniowski
collection DOAJ
description We evaluate nonperturbatively the quark quasidistribution amplitude and the valence quark quasidistribution function of the pion in the framework of chiral quark models, namely the Nambu–Jona-Lasinio model and the Spectral Quark Model. We arrive at simple analytic expressions, where the nonperturbative dependence on the longitudinal momentum of the pion can be explicitly assessed. The model results for the quark quasidistribution amplitude of the pion compare favorably to the data obtained from the Euclidean lattice simulations. The quark distribution amplitude, arising in the limit of infinite longitudinal momentum of the pion, agrees, after suitable QCD evolution, to the recent data extracted from Euclidean lattices, as well as to the old data from transverse lattice simulations. Keywords: Partonic quasidistribution amplitude and function, Nambu–Jona-Lasinio model, Spectral Quark Model, Nonperturbative pion structure
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spelling doaj.art-f96314486867486a91818f1c8982811a2022-12-21T17:56:55ZengElsevierPhysics Letters B0370-26932017-10-01773385390Nonperturbative partonic quasidistributions of the pion from chiral quark modelsWojciech Broniowski0Enrique Ruiz Arriola1The H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, 31-342 Kraków, Poland; Institute of Physics, Jan Kochanowski University, 25-406 Kielce, Poland; Corresponding author.Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Fisica Teórica y Computacional, Universidad de Granada, E-18071 Granada, SpainWe evaluate nonperturbatively the quark quasidistribution amplitude and the valence quark quasidistribution function of the pion in the framework of chiral quark models, namely the Nambu–Jona-Lasinio model and the Spectral Quark Model. We arrive at simple analytic expressions, where the nonperturbative dependence on the longitudinal momentum of the pion can be explicitly assessed. The model results for the quark quasidistribution amplitude of the pion compare favorably to the data obtained from the Euclidean lattice simulations. The quark distribution amplitude, arising in the limit of infinite longitudinal momentum of the pion, agrees, after suitable QCD evolution, to the recent data extracted from Euclidean lattices, as well as to the old data from transverse lattice simulations. Keywords: Partonic quasidistribution amplitude and function, Nambu–Jona-Lasinio model, Spectral Quark Model, Nonperturbative pion structurehttp://www.sciencedirect.com/science/article/pii/S0370269317306779
spellingShingle Wojciech Broniowski
Enrique Ruiz Arriola
Nonperturbative partonic quasidistributions of the pion from chiral quark models
Physics Letters B
title Nonperturbative partonic quasidistributions of the pion from chiral quark models
title_full Nonperturbative partonic quasidistributions of the pion from chiral quark models
title_fullStr Nonperturbative partonic quasidistributions of the pion from chiral quark models
title_full_unstemmed Nonperturbative partonic quasidistributions of the pion from chiral quark models
title_short Nonperturbative partonic quasidistributions of the pion from chiral quark models
title_sort nonperturbative partonic quasidistributions of the pion from chiral quark models
url http://www.sciencedirect.com/science/article/pii/S0370269317306779
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