Abstract
We present the leading-twist quark transverse momentum-dependent parton distribution functions (TMDs) for the spin-1 target, such as the ρ-meson, in the light-front framework. Specifically, we predict the TMDs in the light-front holographic model and compare with the light-front quark model predictions. We obtain the TMDs using the overlap of the light-front wave functions. We evaluate the k⊥ moments upto second order and compare with the available theoretical predictions. Further, we analyze the leading-twist parton distribution functions (PDFs) of the ρ-meson in the light-front holographic model which are found to be in accord with the Nambu-Jona-Lasinio (NJL) model and the light-front quark model predictions. We further study the QCD evolution of the PDFs. The positivity bounds on the TMDs and the PDFs are also discussed. We also present the quark spin densities in the transverse momentum plane for different polarization configurations of the quark and the ρ-meson target.
Highlights
Importance, the light-front dynamics having remarkable accomplishments provide a suitable framework to study the hadron structure [23,24,25]
We present the leading-twist quark transverse momentum-dependent parton distribution functions (TMDs) for the spin-1 target, such as the ρ-meson, in the light-front framework
We have presented the leading-twist TMDs for the ρ-meson in the LF holographic model where the dynamical spin effect has been taken into account in the wave functions
Summary
Let us begin with the holographic Schrödinger equation, which is derived in the semiclassical approximation to QCD in the light-front and is assured by the dynamical part of the holographic wave function. The spin structures in holographic model are fixed by the rules of light-front field theory for coupling a quark and an antiquark into ρ meson (point-like), while nonperturbative bound state effects are captured by the holographic wavefunction given by eq (2.13). Though these wave functions are not derived from QCD first principle, so far these phenomenological models are proven to reproduce many interesting properties of ρ meson These wave functions have been successfully applied to describe the data on diffractive ρ meson electroproduction [42, 71], decay constant [46, 71], distribution amplitude [43], electromagnetic and vector to pseudoscalar transition form factors [45, 65, 72] etc. It is interesting to compare our predictions with the results of the NJL model
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