Illuminating the 1/x moment of parton distribution functions

Details Illuminating the 1/x moment of parton distribution functions Illuminating the 1/x moment of parton distribution functions

2007-10-04

arxiv.org/abs/0710.0981v1

ECONF C070910:149,2007

Physics

Nuclear Physics

Nuclear Theory

11 pages, 3 figures, invited contribution to the 11th International Conference on Meson-Nucleon Physics and the Structure of t

Scientific paper

The Weisberger relation, an exact statement of the parton model, elegantly relates a high-energy physics observable, the 1/x moment of parton distribution functions, to a nonperturbative low-energy observable: the dependence of the nucleon mass on the value of the quark mass or its corresponding quark condensate. We show that contemporary fits to nucleon structure functions fail to determine this 1/x moment; however, deeply virtual Compton scattering can be described in terms of a novel F_{1/x}(t) form factor which illuminates this physics. An analysis of exclusive photon-induced processes in terms of the parton-nucleon scattering amplitude with Regge behavior reveals a failure of the high Q^2 factorization of exclusive processes at low t in terms of the Generalized Parton-Distribution Functions which has been widely believed to hold in the past. We emphasize the need for more data for the DVCS process at large t in future or upgraded facilities.

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