Quark spin-orbit correlations in spin-0 and spin-1 mesons using the light-front quark model

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Auteurs principaux: Acharyya, Ritwik, Puhan, Satyajit, Dahiya, Harleen
Format: Preprint
Publié: 2024
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author Acharyya, Ritwik
Puhan, Satyajit
Dahiya, Harleen
author_facet Acharyya, Ritwik
Puhan, Satyajit
Dahiya, Harleen
contents We have investigated the spin-orbital angular momentum correlations for the active quark inside the light and heavy mesons for both the spin-0 and spin-1 cases. These correlations can be derived from the generalised transverse momentum dependent distributions (GTMDs) as well as the generalised parton distributions (GPDs). We employ the overlap representation of light-front wave functions in the light-front quark model (LFQM) to calculate our analytical results. The dependence of spin-orbit correlations (SOCs) on the longitudinal momentum fraction $x$ as well as the transverse momentum dependence $\mathbf{k}_{\perp}$ has been graphically presented. Even though the SOCs have already been studied for the spin-0 pions and kaons in other approaches, no calculations for the other light and heavy spin-0 mesons have been reported in literature. Further, the correlations for any of the light and heavy spin-1 mesons have been studied for the first time in the present work.
format Preprint
id arxiv_https___arxiv_org_abs_2405_00446
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quark spin-orbit correlations in spin-0 and spin-1 mesons using the light-front quark model
Acharyya, Ritwik
Puhan, Satyajit
Dahiya, Harleen
High Energy Physics - Phenomenology
We have investigated the spin-orbital angular momentum correlations for the active quark inside the light and heavy mesons for both the spin-0 and spin-1 cases. These correlations can be derived from the generalised transverse momentum dependent distributions (GTMDs) as well as the generalised parton distributions (GPDs). We employ the overlap representation of light-front wave functions in the light-front quark model (LFQM) to calculate our analytical results. The dependence of spin-orbit correlations (SOCs) on the longitudinal momentum fraction $x$ as well as the transverse momentum dependence $\mathbf{k}_{\perp}$ has been graphically presented. Even though the SOCs have already been studied for the spin-0 pions and kaons in other approaches, no calculations for the other light and heavy spin-0 mesons have been reported in literature. Further, the correlations for any of the light and heavy spin-1 mesons have been studied for the first time in the present work.
title Quark spin-orbit correlations in spin-0 and spin-1 mesons using the light-front quark model
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2405.00446