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.
Highlights
Quantum chromodynamics (QCD) which is a part of the Standard Model (SM) describes the formation of the hadron by including the strong interrelation between quarks, antiquarks, and gluons
We study the various distributions of the u quark as well as the squark in the kaon using the lightcone quark model (LCQM)
We have presented the quark and antiquark generalized transverse momentum-dependent distributions of partons (GTMDs) of the kaon with respect to the longitudinal momentum fraction carried by quark x and antiquark −x
Summary
Quantum chromodynamics (QCD) which is a part of the Standard Model (SM) describes the formation of the hadron by including the strong interrelation between quarks, antiquarks, and gluons. Being limited to the five-dimensional quasiprobabilistic distributions, Wigner distributions interpret in terms of probabilistic quantities, i.e., impact-parameter dependent distributions and TMDs. the Fourier transformation of the Wigner distributions are related to generalized transverse momentum-dependent distributions of partons (GTMDs) [33,34] for ζ 1⁄4 0. The unified Wigner distributions have been evaluated extensively using various models by considering different polarization configurations of quarks and gluons in the case of a spin-12 hadron [52,53,54,55,56,57,58].
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