Generalized Parton Distributions at x->1

Abstract

Generalized parton distributions at large $x$ are studied in perturbative QCD approach. As $x\to 1$ and at finite $t$, there is no $t$ dependence for the GPDs which means that the active quark is at the center of the transverse space. We also obtain the power behavior: $H_q^π(x,ξ,t)\sim (1-x)^2/(1-ξ^2)$ for pion; $H_q(x,ξ,t)\sim (1-x)^3/(1-ξ^2)^2$ and $E_q(x,ξ,t)\sim (1-x)^5/(1-ξ^2)^3f(ξ)$ for nucleon, where $f(ξ)$ represents the additional dependence on $ξ$.