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 $E_2(x,0,t)$, $G_2(x,0,t)$, $F_3(x,0,t)$ and $H_3(x,0,t)$ of valence quark inside the pion and kaon mesons. Numerical results for these higher-twist GPDs 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 $f_3(x)$ of pion and kaon. We further study the relations between $e(x)$ or $f_3(x)$ and the twist-2 unpolarized PDF $f_1(x)$.

Comments: 10 pages, 3 figures