Study of kaon structure using the light-cone quark model

Abstract

We investigate the various distributions explaining multi-dimensional structure of kaon at the level of its constituents (u ands) 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 ands 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 phasespace distributions; Wigner distributions are studied for the case of unpolarized, longitudinallypolarized 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 (k ⊥ ) as well as for different values of momentum transferred to the kaon in transverse direction (∆ ⊥ ). 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 ands in kaon is elaborated in context of Wigner distributions and GTMDs.

Tomography of light mesons in the light-cone quark model

“…The detailed discussion on graphical representation of the GPD in case of a kaon has been already explained in Ref. [157].…”

Tomography of light mesons in light-cone quark model

“…The detailed discussion on graphical representation of GPD in case of kaon has been already explained in Ref. [151].…”

Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space

“…Meanwhile, the entire perspective of the hadronic structure can be achieved through the Wigner distributions, the quantum-mechanical counterpart of classical phase-space distributions, that unify the momentum and the position distributions and give subtle details of the partons inside the hadron. The Winger distributions were introduced in quantum chromodynamics (QCD) by Ji [14] and have been investigated extensively in recent times to understand the multi-dimensional partonic imaging of the hadrons [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. The Wigner distributions are six-dimensional phase-space distributions, which do not have a probabilistic interpretation, but after some phase-space reductions, they reduce to the TMDs and the GPDs.…”

“…Regarding the GTMDs and the Wigner distributions of spin-1/2 composite systems, notable analyses exist, using different theoretical models, e.g., in the light-cone constituent quark model [15][16][17], the light-front dressed quark model [18][19][20], the chiral soliton model [15,16], light-cone spectator model [21], the light-front quark-diquark model [22][23][24][25][26][27], quark target model [28], etc. These distributions for spin-0 hadrons have also been investigated using different theoretical approaches [29][30][31][32]. Meanwhile, the scale evolution of the GTMDs has been studied in Refs.…”