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

TL;DR

This paper investigates the spin-orbit correlations of quarks inside various light and heavy mesons using a light-front quark model, providing new insights into meson structure and introducing calculations for spin-1 mesons.

Contribution

It presents the first calculations of quark spin-orbit correlations in spin-1 mesons and extends analyses to a broader range of mesons using the light-front quark model.

Findings

Spin-orbit correlations depend on longitudinal momentum fraction and transverse momentum.

First analytical results for spin-1 mesons' quark correlations.

Graphical presentation of correlation dependencies.

Abstract

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.