Generalized Parton Distributions at x->1

Details Generalized Parton Distributions at x->1 Generalized Parton Distributions at x->1

2003-11-22

arxiv.org/abs/hep-ph/0311288v1

Phys.Rev. D69 (2004) 051501

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 2 figures

Scientific paper

10.1103/PhysRevD.69.051501

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 $E_q(x,\xi,t)\sim (1-x)^5/(1-\xi^2)^3f(\xi)$ for nucleon, where $f(\xi)$ represents the additional dependence on $\xi$.

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