Evolution and models for skewed parton distribution

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The authors discuss the structure of the ''forward visible'' (FW) parts of double and skewed distributions related to usual distributions through reduction relations. They use factorized models for double distributions (DDs) {tilde f}(x,{alpha}) in which one factor coincides with the usual (forward) parton distribution and another specifies the profile characterizing the spread of the longitudinal momentum transfer. The model DDs are used to construct skewed parton distributions (SPDs). For small skewedness, the FW parts of SPDs H ({tilde x},{xi}) can be obtained by averaging forward parton densities f({tilde x}-{xi}{alpha}) with the weight {rho}({alpha}) coinciding with the profile function of the ... continued below

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701 KILOBYTES pages

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Musatov, I.C. & Radyushkin, A.V. May 17, 1999.

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The authors discuss the structure of the ''forward visible'' (FW) parts of double and skewed distributions related to usual distributions through reduction relations. They use factorized models for double distributions (DDs) {tilde f}(x,{alpha}) in which one factor coincides with the usual (forward) parton distribution and another specifies the profile characterizing the spread of the longitudinal momentum transfer. The model DDs are used to construct skewed parton distributions (SPDs). For small skewedness, the FW parts of SPDs H ({tilde x},{xi}) can be obtained by averaging forward parton densities f({tilde x}-{xi}{alpha}) with the weight {rho}({alpha}) coinciding with the profile function of the double distribution {tilde f}(x, {alpha}) at small x. They show that if the x{sup n} moments {tilde f}{sub n}({alpha}) of DDs have the asymptotic (1-{alpha}{sup 2}){sup n+1} profile, then the {alpha}-profile of {tilde f}(x,{alpha}) for small x is completely determined by small-x behavior of the usual parton distribution. They demonstrate that, for small {xi}, the model with asymptotic profiles for {tilde f}{sub n}({alpha}) is equivalent to that proposed recently by Shuvaev et al., in which the Gegenbauer moments of SPDs do not depend on {xi}. They perform a numerical investigation of the evolution patterns of SPDs and give interpretation of the results of these studies within the formalism of double distributions.

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701 KILOBYTES pages

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  • Journal Name: Phys Review; Journal Volume: D; Journal Issue: 61; Other Information: Submitted to Phys Review: Volume D, No. 61; PBD: 17 May 1999

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  • Report No.: DOE/ER/40150-1303
  • Report No.: JLAB-THY-99-12
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 753189
  • Archival Resource Key: ark:/67531/metadc710918

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  • May 17, 1999

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  • Sept. 12, 2015, 6:31 a.m.

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  • Feb. 5, 2016, 9:28 p.m.

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Musatov, I.C. & Radyushkin, A.V. Evolution and models for skewed parton distribution, article, May 17, 1999; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc710918/: accessed September 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.