Chiral-even twist-3 GPDs for the proton in a spectator diquark model

2024/07/24 by Tan, Chentao, Lu, Zhun
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2407.17448

Abstract

We investigate the chiral-even twist-3 generalized parton distributions (GPDs) of valence quarks in the proton at nonzero skewness ξ, using a spectator model with scalar and axial-vector diquarks. We consider the exponential form factor for the nucleon-quark-diquark vertex and the axial-vector diquark with light-cone transverse polarization. We analyze the dependence of GPDs on the longitudinal momentum fraction x at different ξ, and on the square of the transverse momentum transfer Δ²_T at different x. Our numerical results reveal distinct discontinuities in all twist-3 GPDs except G₁ and G₁. By taking the forward limit, we obtain the twist-3 parton distribution function g_T, which encodes the transverse spin distribution of quarks. We also compare the kinetic orbital angular momentum and the spin-orbit correlations of quarks defined by the twist-2 and twist-3 GPDs, respectively.

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