Understanding the Valence Quark Structure of the Pion through GTMDs
Published in PTEP.
S. Puhan, S. Sharma, N. Kumar and H. Dahiya
PTEP ptaf100 (2025)
April 01, 2025
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.
Summary
Comprehensive GTMD analysis of the pion up to twist-4 in LCQM. Finds 12 of 16 possible GTMDs are nonzero, extracts TMDs, GPDs, FFs, and PDFs, and reports a pion charge radius of 0.558 fm.
Authors: S. Puhan, S. Sharma, N. Kumar and H. Dahiya
Published in: PTEP ptaf100 (2025)

