https://doi.org/10.1140/epja/s10050-023-01156-8
Regular Article - Theoretical Physics
Twist-4 proton GTMDs in the light-front quark–diquark model
Department of Physics, Dr. B. R. Ambedkar National Institute of Technology, 144008, Jalandhar, India
Received:
10
July
2023
Accepted:
4
October
2023
Published online:
18
October
2023
By integrating across the light-cone energy, totally unintegrated, off-diagonal quark–quark generalized parton correlation functions can yield generalized transverse-momentum dependent parton distributions (GTMDs). We have obtained the twist-4 GTMDs for the case of proton in the light-front quark–diquark model. We have decoded the quark–quark GTMD correlator for proton and solved the parametrization equations for Dirac matrix structure at twist-4. We have derived the explicit equations of GTMDs for the diquark being scalar or vector leading to the results for the struck quark being a u or d quark. Being a multidimensional function, the dependence is studied with two variables at a time, keeping the others fixed. Transverse-momentum dependent form factors have been obtained from GTMDs via integration over the longitudinal momentum fraction x of the quark. We have debated over the possibility to specify the initial and final state polarizations of the smacked quark and the nucleon in twist-4 GTMDs as well as the Wigner distributions. Additionally, from twist-4 GTMDs, we have deduced the twist-4 T-even TMDs and found its synchronization with the already published results.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.