Work

Study of kaon structure using the light-cone quark model

Year: 2019
Type: article
Abstract: We investigate the various distributions explaining the multidimensional structure of kaon at the level of its constituents ($u$ and $\overline{s}$) using the light-cone quark model. The overlap form of wave functions associated with the light-cone quark model is adopted for the calculations. The generalized parton distributions (GPDs) of $u$ and $\overline{s}$ quarks are presented for the case when the momentum transfer in the longitudinal direction is nonzero. The dependence of kaon GPDs is studied in terms of the variation of the quark longitudinal momentum fraction, momentum transfer in the longitudinal direction, and total momentum transfer to the final state of the 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 partons in an unpolarized kaon. The Wigner distributions are analyzed in the transverse impact-parameter plane, the transverse momentum plane, and the mixed plane. Further, to get a complete picture of the 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 is studied for different values of transverse quark and antiquark momentum $({\mathbf{k}}_{\ensuremath{\perp}})$ as well as for different values of momentum transferred to the kaon in the transverse direction $({\mathbf{\ensuremath{\Delta}}}_{\ensuremath{\perp}})$. This has been done for zero as well as nonzero skewedness representing, respectively, the absence and presence of momentum transfer to the final state of the kaon in the longitudinal direction. Furthermore, the possible spin-orbit correlation for $u$ and $\overline{s}$ in the kaon is elaborated in the context of Wigner distributions and generalized transverse momentum-dependent parton distributions.
Language: English
Open Access status: hybrid
OpenAlex ID: W2965520964
FWCI: 0.779
Cites: 81
Cited by: 19
Related to: 10