A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities

A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities

A systematic approach for the model building of Generalized Parton Distributions (GPDs), based on their overlap representation within the DGLAP kinematic region and a further covariant extension to the ERBL one, is applied to the valence-quark pion's case, using light-front wave functions inspi...

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Main Authors: N. Chouika, C. Mezrag, H. Moutarde, J. Rodríguez-Quintero
Format: Article
Language:English
Published: Elsevier 2018-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318301837
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spelling doaj-9c232f5432ff4aa29bc940d96c0fab812020-11-25T00:28:16ZengElsevierPhysics Letters B0370-26932018-05-01780287293A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguitiesN. Chouika0C. Mezrag1H. Moutarde2J. Rodríguez-Quintero3IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France; Corresponding author.Istituto Nazionale di Fisica Nucleare, Sezione di Roma, P. le A. Moro 2, I-00185 Roma, ItalyIRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, FranceDpto. Ciencias Integradas, Centro de Estudios Avanzados en Fis., Mat. y Comp., Fac. Ciencias Experimentales, Universidad de Huelva, Huelva 21071, Spain; CAFPE, Universidad de Granada, E-18071 Granada, SpainA systematic approach for the model building of Generalized Parton Distributions (GPDs), based on their overlap representation within the DGLAP kinematic region and a further covariant extension to the ERBL one, is applied to the valence-quark pion's case, using light-front wave functions inspired by the Nakanishi representation of the pion Bethe–Salpeter amplitudes (BSA). This simple but fruitful pion GPD model illustrates the general model building technique and, in addition, allows for the ambiguities related to the covariant extension, grounded on the Double Distribution (DD) representation, to be constrained by requiring a soft-pion theorem to be properly observed. Keywords: π-meson, Generalized parton distributions, Bethe-Salepeter, Light-front wave-functions, Radon transform, Double distributionshttp://www.sciencedirect.com/science/article/pii/S0370269318301837
collection DOAJ
language English
format Article
sources DOAJ
author N. Chouika
C. Mezrag
H. Moutarde
J. Rodríguez-Quintero
spellingShingle N. Chouika
C. Mezrag
H. Moutarde
J. Rodríguez-Quintero
A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities
Physics Letters B
author_facet N. Chouika
C. Mezrag
H. Moutarde
J. Rodríguez-Quintero
author_sort N. Chouika
title A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities
title_short A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities
title_full A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities
title_fullStr A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities
title_full_unstemmed A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities
title_sort nakanishi-based model illustrating the covariant extension of the pion gpd overlap representation and its ambiguities
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2018-05-01
description A systematic approach for the model building of Generalized Parton Distributions (GPDs), based on their overlap representation within the DGLAP kinematic region and a further covariant extension to the ERBL one, is applied to the valence-quark pion's case, using light-front wave functions inspired by the Nakanishi representation of the pion Bethe–Salpeter amplitudes (BSA). This simple but fruitful pion GPD model illustrates the general model building technique and, in addition, allows for the ambiguities related to the covariant extension, grounded on the Double Distribution (DD) representation, to be constrained by requiring a soft-pion theorem to be properly observed. Keywords: π-meson, Generalized parton distributions, Bethe-Salepeter, Light-front wave-functions, Radon transform, Double distributions
url http://www.sciencedirect.com/science/article/pii/S0370269318301837
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