Illuminating the 1/x Moment of Parton Distribution Functions

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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 F1/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 ... continued below

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11 pages

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Brodsky, Stanley J.; /SLAC; Llanes-Estrada, Felipe J.; U., /Madrid; Szczepaniak, Adam P. & U., /Indiana October 15, 2007.

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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 F1/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 Q2 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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11 pages

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  • Invited talk at 11th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU 2007), Julich, Germany, 10-14 Sep 2007

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  • Report No.: SLAC-PUB-12857
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 918020
  • Archival Resource Key: ark:/67531/metadc887050

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  • October 15, 2007

Added to The UNT Digital Library

  • Sept. 22, 2016, 2:13 a.m.

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  • Nov. 29, 2016, 2:13 p.m.

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Brodsky, Stanley J.; /SLAC; Llanes-Estrada, Felipe J.; U., /Madrid; Szczepaniak, Adam P. & U., /Indiana. Illuminating the 1/x Moment of Parton Distribution Functions, article, October 15, 2007; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc887050/: accessed November 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.