Off-shell generalized parton distributions and form factors of the pion

Off-shell effects in generalized parton distributions (GPDs) of the pion, appearing, e.g., in the Sullivan process, are considered. Due to the lack of crossing symmetry, the moments of GPDs involve also odd powers of the skewness (longitudinal momentum transfer) parameter, which results in emergence...

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Main Authors: Wojciech Broniowski, Vanamali Shastry, Enrique Ruiz Arriola
Format: Article
Language:English
Published: Elsevier 2023-05-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S037026932300206X
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author Wojciech Broniowski
Vanamali Shastry
Enrique Ruiz Arriola
author_facet Wojciech Broniowski
Vanamali Shastry
Enrique Ruiz Arriola
author_sort Wojciech Broniowski
collection DOAJ
description Off-shell effects in generalized parton distributions (GPDs) of the pion, appearing, e.g., in the Sullivan process, are considered. Due to the lack of crossing symmetry, the moments of GPDs involve also odd powers of the skewness (longitudinal momentum transfer) parameter, which results in emergence of new off-shell form factors. With current-algebra techniques, we derive exact relations between the four off-shell gravitational form factors of the pion, in analogy to the electromagnetic case. Our results place stringent constraints on the off-shell GPDs of the pion. We provide an explicit realization in terms of a chiral quark model, where we show that the off-shell effects in GPDs are potentially significant in modeling physical processes and should not be neglected.
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spelling doaj.art-cc33dd2eda9e4f87b84daea4a65259aa2023-04-20T04:35:36ZengElsevierPhysics Letters B0370-26932023-05-01840137872Off-shell generalized parton distributions and form factors of the pionWojciech Broniowski0Vanamali Shastry1Enrique Ruiz Arriola2H. Niewodniczański Institute of Nuclear Physics PAN, 31-342, Cracow, Poland; Institute of Physics, Jan Kochanowski University, 25-406, Kielce, Poland; Corresponding author.Institute of Physics, Jan Kochanowski University, 25-406, Kielce, PolandDepartamento de Física Atǿmica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, E-18071, Granada, SpainOff-shell effects in generalized parton distributions (GPDs) of the pion, appearing, e.g., in the Sullivan process, are considered. Due to the lack of crossing symmetry, the moments of GPDs involve also odd powers of the skewness (longitudinal momentum transfer) parameter, which results in emergence of new off-shell form factors. With current-algebra techniques, we derive exact relations between the four off-shell gravitational form factors of the pion, in analogy to the electromagnetic case. Our results place stringent constraints on the off-shell GPDs of the pion. We provide an explicit realization in terms of a chiral quark model, where we show that the off-shell effects in GPDs are potentially significant in modeling physical processes and should not be neglected.http://www.sciencedirect.com/science/article/pii/S037026932300206XGeneralized parton distributionsOff-shell pionsSullivan process
spellingShingle Wojciech Broniowski
Vanamali Shastry
Enrique Ruiz Arriola
Off-shell generalized parton distributions and form factors of the pion
Physics Letters B
Generalized parton distributions
Off-shell pions
Sullivan process
title Off-shell generalized parton distributions and form factors of the pion
title_full Off-shell generalized parton distributions and form factors of the pion
title_fullStr Off-shell generalized parton distributions and form factors of the pion
title_full_unstemmed Off-shell generalized parton distributions and form factors of the pion
title_short Off-shell generalized parton distributions and form factors of the pion
title_sort off shell generalized parton distributions and form factors of the pion
topic Generalized parton distributions
Off-shell pions
Sullivan process
url http://www.sciencedirect.com/science/article/pii/S037026932300206X
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AT vanamalishastry offshellgeneralizedpartondistributionsandformfactorsofthepion
AT enriqueruizarriola offshellgeneralizedpartondistributionsandformfactorsofthepion