Understanding the Valence Quark Structure of the Pion through GTMDs

Abstract

We investigate the internal structure of the pion using generalized transverse momentum-dependent parton distributions (GTMDs) within the light-cone quark model. By solving the quark-quark correlator, we derive the twist-$2$, $3$, and $4$ quark GTMDs in terms of light-front wave functions (LFWFs). Out of the $16$ possible GTMDs, $12$ are found to be nonzero. Furthermore, we extract the valence quark transverse momentum-dependent parton distributions (TMDs) and generalized parton distributions (GPDs) from their corresponding GTMDs. Additionally, we compute the valence quark electromagnetic form factors (FFs) and parton distribution functions (PDFs) up to twist-$4$. The elastic charge radius of the pion is determined to be $0.558$ fm. Our results exhibit a qualitative agreement with predictions from other theoretical model like Nambu-Jona-Lasinio model, Light-front holographic model, and spectator model at the leading twist. This study provides a comprehensive insight into the internal structure of the pion.

30 pages and 12 figures

References in corpus (28)

• Generalized parton correlation functions for a spin-1/2 hadron
• Quark Wigner Distributions and Orbital Angular Momentum
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• 50 Years of Quantum Chromodynamics
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Generalized parton correlation functions for a spin-0 hadron
• Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon
• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
• BFKL evolution and the growth with energy of exclusive J/Psi and Upsilon photo-production cross-sections
• Pion TMDs in light-front constituent approach, and Boer-Mulders effect in the pion-induced Drell-Yan process
• A light front quark-diquark model for the nucleons
• Unpolarized proton PDF at NNLO from lattice QCD with physical quark masses
• The valence quark, sea, and gluon content of the pion from the parton distribution functions and the electromagnetic form factor
• Structure of the nucleon at leading and subleading twist in the covariant parton model
• Dynamical parton distributions from DGLAP equations with nonlinear corrections
• 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
• Pion scalar, vector and tensor form factors from a contact interaction
• Polarised parton distribution functions and proton spin
• Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space
• GTMDs and the factorization of exclusive double Drell-Yan
• Exploring twist-4 chiral-even GPDs in the light-front quark-diquark model
• Transverse and spatial structure of light to heavy pseudoscalar mesons in light-cone quark model
• Quark spin-orbit correlations in spin-0 and spin-1 mesons using the light-front quark model
• Spin-orbit correlation and spatial distributions for spin-0 hadrons
• Twist-4 proton GTMDs in the light-front quark-diquark model
• Unraveling sub-leading twist GTMDs of proton using LFQDM
• TMD Relations: Insights from a Light-Front Quark-Diquark Model