Transverse and spatial structure of light to heavy pseudoscalar mesons in light-cone quark model

Abstract

In this work, we have investigated the transverse and spatial structure of light (${\pi }^{+}(u\bar{d})$, $K^{+}(u\bar{s})$) and heavy (${\eta }_c(c\bar{c})$, ${\eta }_b(b\bar{b})$, $B$ and $D$) pseudoscalar mesons using the light-cone quark model. The transverse structure of these particles have been studied using the transverse momentum dependent parton distribution (TMDs). The leading twist unpolarized $f_1(x,{\mathbf{k}}_{\perp }^2)$ TMD has been solved using the quark-quark correlator. We have predicted the average momenta carried by the quark and antiquark of the considered mesons. For a complete description of mesons, we have also computed the leading twist unpolarized $H(x,0,-t)$ generalized parton distribution (GPD). Further, electromagnetic form factors (EMFFs), along with gravitational form factors (GFFs) have been derived by taking the zeroth and first moments of the unpolarized GPD. These EMFFs are found to be compatible with available lattice simulation results. Further, we have also calculated the parton distribution functions (PDFs) for both the quarks and the antiquarks of these mesons. The PDF sum rule has also been verified.

32 pages and 17 figures

References in corpus (23)

• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Generalized parton correlation functions for a spin-1/2 hadron
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Generalized parton correlation functions for a spin-0 hadron
• The pion form factor from lattice QCD with two dynamical flavours
• Vector and axial-vector couplings of D and D* mesons in 2+1 flavor Lattice QCD
• Pion TMDs in light-front constituent approach, and Boer-Mulders effect in the pion-induced Drell-Yan process
• Transverse-momentum dependent parton distribution functions beyond leading twist in quark models
• The valence quark, sea, and gluon content of the pion from the parton distribution functions and the electromagnetic form factor
• Mixing effects on 1S and 2S state heavy mesons in the light-front quark model
• Transverse structure of the pion beyond leading twist with basis light-front quantization
• Pseudo-scalar mesons: light front wave functions, GPDs and PDFs
• T-even TMDs for the spin-0 pseudo-scalar mesons upto twist-4 using light-front formalism
• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• Off-shell generalized parton distributions and form factors of the pion
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• GTMDs and the factorization of exclusive double Drell-Yan
• Generalized parton distributions of sea quark at zero skewness in the light-cone 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
• Generalized parton distributions for the lowest-lying octet baryons
• Spatial and Transverse structure of Heavy B- and D-mesons
• Transverse distortion and single-spin asymmetries for low-lying octet baryons

Cited by in corpus (3)

• 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