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Title: Sum Rules for Nucleon GPDs and Border Function Formulation

Recently developed new approach to model nucleon generalized parton distributions (GPDs) H and E is based on two types of their representation in terms of double distributions. Within this approach, we re-consider the derivation of GPD sum rules that allow to use border functions H(x,x) and E(x,x) instead of full GPDs H(x,\xi) and E(x,\xi) in the integrals producing Compton form factors of deeply virtual Compton scattering. Using factorized DD Ansatz to model GPDs, we discuss the relation between the border functions and underlying parton densities. We found that substantial contribution to H(x,x) border function comes from the extra term required by new DD representations and related to E(x,\xi) GPD.
Authors:
 [1]
  1. JLAB, Old Dominion U., JINR
Publication Date:
OSTI Identifier:
1092533
Report Number(s):
JLAB-THY-13-1757; DOE/OR/23177-2625' arXiv:1307.6781
DOE Contract Number:
AC05-06OR23177
Resource Type:
Journal Article
Resource Relation:
Journal Name: Phys.Rev.D; Journal Volume: 88; Journal Issue: 05
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS