2024/01/28 by Xiaoyan Luan, Luan, Xiaoyan, Zhun Lü +1 · 2 citations
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2401.15596
openalex publication_date 2024/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the Wigner distributions of u and d quarks in a proton using the overlap representation within the light cone formalism. Using the light cone wave functions which are obtained from the baryon-meson fluctuation model in terms of the |qqB⟩ Fock states, we calculate the Wigner distributions for the unpolarized/longitudinally polarized sea quark in an unpolarized/longitudinally polarized proton. The Wigner distributions can be obtained through a Fourier transform on the generalized transverse-momentum dependent parton distributions (GTMDs). We also calculate the GTMDs of u and d quarks in the intermediate step. Numerical results for the Wigner distributions of u and d quarks in transverse momentum space, impact parameter space and the mixed plane are presented. We also study the orbital angular momentum and the spin-orbit correlations of the sea quarks.