Scalar, Vector and Tensor Form Factors of Pion and Kaon

TL;DR

This paper computes scalar, vector, and tensor form factors of pion and kaon using the light-cone quark model, aligning results with experimental data, other models, and lattice simulations.

Contribution

It introduces a method to calculate FFs from GPDs within the LCQM framework, including scalar FFs from twist-3 GPDs, and compares charge radii with existing data.

Findings

FFs behavior matches experimental and lattice data.

Scalar radii for pion and kaon are 0.528 fm and 0.409 fm.

Results are consistent with other models and predictions.

Abstract

We calculate the possible scalar, vector, and tensor form factors (FFs) for pion and kaon in the light-cone quark model (LCQM). These FFs are calculated from the leading and sub-leading twist generalized parton distribution functions (GPDs) of the pion and kaon. The vector and tensor FFs correspond to twist-2 GPDs, whereas the scalar FFs correspond to twist-3 scalar GPDs. We calculate the FFs from the GPDs quark-quark correlator and express them in the form of light-front wave functions (LFWFs). The behavior of these FFs was found to be in sync with experimental data, other model predictions, and lattice simulation results. We have also calculated the charge radii corresponding to different FFs and compared them with other models, lattice simulation results, and experimental data. The scalar radii of the pion and kaon of our model are found to be $0.528$ and $0.409$ $fm$, respectively.