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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-05-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269318301837 |
| _version_ | 1818965502228168704 |
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| author | N. Chouika C. Mezrag H. Moutarde J. Rodríguez-Quintero |
| author_facet | N. Chouika C. Mezrag H. Moutarde J. Rodríguez-Quintero |
| author_sort | N. Chouika |
| collection | DOAJ |
| 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 |
| first_indexed | 2024-12-20T13:18:01Z |
| format | Article |
| id | doaj.art-9c232f5432ff4aa29bc940d96c0fab81 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-20T13:18:01Z |
| publishDate | 2018-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-9c232f5432ff4aa29bc940d96c0fab812022-12-21T19:39:29ZengElsevierPhysics 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 |
| 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 |
| title | 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_short | 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 |
| url | http://www.sciencedirect.com/science/article/pii/S0370269318301837 |
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