Higher-twist generalized parton distributions of the pion and kaon at zero skewness in the light-cone quark model

Abstract

We investigate the higher-twist generalized parton distributions (GPDs) of the pion and kaon at zero skewness by adopting the overlap representation within the light-cone formalism. Using the wave functions of pion and kaon deduced from a light-cone quark model (LCQM), we calculate the twist-3 and twist-4 GPDs E2(x,0,t), G2(x,0,t), F3(x,0,t), and H3(x,0,t) of valence quarks inside the pion and kaon mesons. Numerical results for these higher-twist GPDs of valence quark and antiquark are presented. By taking the forward limit, we also present the numerical results for the corresponding twist-3 and twist-4 parton distribution functions (PDFs) e(x) and f3(x) of pion and kaon. We further study the relations between e(x) or f3(x) and the twist-2 unpolarized PDF f1(x). Published by the American Physical Society 2024