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Quark Wigner Distributions and GTMDs of Pion in the Light-Front Holographic Model

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arxiv 1909.10146 v1 pith:Y372W3TC submitted 2019-09-23 hep-ph

Navdeep Kaur , Harleen Dahiya This is my paper · ORCID
classification hep-ph
keywords piondistributionswignermomentumquarkskewnessholographiclight-front
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We investigate the quark Wigner distributions of the pion to reveal the multidimensional picture of pion. We have used the spin improved wave functions of pion deduced from the light-front holographic model of mesons. By using the Fock-state overlap representation, the Wigner distributions of an unpolarized, longitudinally polarized and transversely polarized quark inside the pion are calculated. We have presented the results of transverse Wigner distributions in impact-parameter space as well as in momentum space. In order to understand the role of skewness which gives the longitudinal momentum transfer between the quarks, we study the six-dimensional phase-space distribution: the generalized transverse momentum dependent parton distributions of pion for the case of zero skewness as well as for nonzero value of skewness.

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  1. Six-dimensional light-front Wigner distributions of the proton

    hep-ph 2025-05 conditional novelty 6.0 of 10

    All 16 leading-twist six-dimensional light-front quark Wigner distributions for the proton are computed in a spectator-diquark model, extending earlier five-dimensional and unpolarized-only results.

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