Twist-4 proton GTMDs in the light-front quark-diquark model
arXiv:2310.03592 · doi:10.1140/epja/s10050-023-01156-8
Abstract
By integrating across the light-cone energy, totally unintegrated, off-diagonal quark-quark generalized parton correlation functions (GPCFs) 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 (LFQDM). 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 or quark. Being a multidimensional function, the dependence is studied with two variables at a time, keeping the others fixed. Transverse-momentum dependent form factors (TMFFs) have been obtained from GTMDs via integration over the longitudinal momentum fraction 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.
arXiv comment43 pages, 18 figures and 2 tables. To appear in European Physical Journal A
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