# Study of kaon structure using the light-cone quark model

## TL;DR

This paper explores the multi-dimensional internal structure of the kaon using the light-cone quark model, analyzing GPDs, Wigner distributions, and GTMDs for its constituent quarks, revealing detailed insights into its partonic distributions and spin-orbit correlations.

## Contribution

It provides a comprehensive analysis of kaon structure through GPDs, Wigner distributions, and GTMDs within the light-cone quark model, including effects of momentum transfer and polarization.

## Key findings

- Detailed GPDs for u and s̄ quarks at non-zero momentum transfer
- Transverse impact-parameter dependent GPDs and Wigner distributions analyzed
- Spin-orbit correlations in kaon quark distributions identified

## Abstract

We investigate the various distributions explaining multi-dimensional structure of kaon at the level of its constituents ($u$ and $\bar{s}$) using the light-cone quark model. The overlap form of wavefunctions associated with the light-cone quark model is adopted for the calculations. The generalized parton distributions(GPDs)of $u$ and $\bar{s}$ quarks are presented for the case when the momentum transfer in the longitudinal direction is non-zero. The dependence of kaon GPDs is studied in terms of variation of quark longitudinal momentum fraction, momentum transfer in longitudinal direction and total momentum transfer to the final state of hadron. The transverse impact-parameter dependent GPDs are also studied by taking the Fourier transformation of general GPDs. Further, the quantum phase-space distributions; Wigner distributions are studied for the case of unpolarized, longitudinally-polarized and transversely-polarized parton in an unpolarized kaon. The Wigner distributions are analysed in the transverse impact-parameter plane, the transverse momentum plane and the mixed plane. Further, to get a complete picture of kaon in terms of its valence quarks, the variation of longitudinal momentum fraction carried by quark and antiquark in the generalized transverse momentum-dependent parton distributions (GTMDs) is studied for different values of transverse quark and antiquark momentum $({\bf k}_\perp)$ as well as for different values of momentum transferred to the kaon in transverse direction $({\bf \Delta}_\perp)$. This has been done for zero as well as non-zero skewedness representing respectively the absence and presence of momentum transfer to the final state of kaon in longitudinal direction. Furthermore, the possible spin-orbit correlation for $u$ and $\bar{s}$ in kaon is elaborated in context of Wigner distributions and GTMDs.