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

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.

23 pages, 4 figures and 3 tables

References in corpus (10)

• Transverse-momentum distributions in a diquark spectator model
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Cited by in corpus (4)

• Transverse and spatial structure of light to heavy pseudoscalar mesons in light-cone quark model
• Spin-orbit correlation and spatial distributions for spin-0 hadrons
• Understanding the Valence Quark Structure of the Pion through GTMDs
• Spectroscopy of excited quarkonium states in the light-front quark model