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: $H_q^{\pi }(x,\xi ,t)\sim (1-x{)}^2/(1-{\xi }^2)$ for pion; $H_q(x,\xi ,t)\sim (1-x{)}^3/(1-{\xi }^2{)}^2$ and $E_q(x,\xi ,t)\sim (1-x{)}^5/(1-{\xi }^2{)}^{3}f(\xi )$ for nucleon, where $f(\xi )$ represents the additional dependence on $\xi$.

7 pages, 2 figures

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