Leading twist T-even TMDs for the spin-1 heavy vector mesons

Abstract

We have presented the leading twist quark transverse momentum-dependent parton distribution functions (TMDs) for the spin-1 heavy vector mesons $J/\psi$-meson and ${\rm Y}$-meson using the overlap of the light-front wave functions. We have computed their TMDs in the light-front holographic model (LFHM) as well as the light-front quark model (LFQM) and further compared the results with the Bethe-Salpeter (BSE) model. We have discussed the behavior of the TMDs with respect to momentum fraction carried by active quark ($x$) and the transverse quark momenta ($k_{\perp }$) in both the models. We have also calculated the $k_{\perp }$ moments of the quark in both the models and have compared the results with the BSE model. The predictions of LFQM are found to be in accord with the BSE model. Further, we have analyzed the leading twist parton distribution functions (PDFs) for both the heavy mesons in both the models and the results are found to be in accord with the basic light-front quantization (BLFQ) and BSE model.

38 pages, 11 figures, and 2 tables. To appear in Physical Review D

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• Transverse and spatial structure of light to heavy pseudoscalar mesons in light-cone quark model
• Does nuclear medium affect the transverse momentum-dependent parton distributions of valence quark of pions?
• Quark spin-orbit correlations in spin-0 and spin-1 mesons using the light-front quark model
• Scalar, Vector and Tensor Form Factors of Pion and Kaon
• Understanding the Valence Quark Structure of the Pion through GTMDs
• Effect of nuclear medium on the spatial distribution of pions
• Spectroscopy of excited quarkonium states in the light-front quark model
• Valence quark distribution of light $\rho$ and heavy $J/\psi$ vector mesons in light-cone quark model
• TMD Relations: Insights from a Light-Front Quark-Diquark Model
• Semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target