Evolution and models for skewed parton distributions
- Physics Department, Old Dominion University, Norfolk, Virginia 23529 (United States)
We discuss the structure of the ''forward visible'' (FV) parts of double and skewed distributions related to the usual distributions through reduction relations. We use factorized models for double distributions (DD's) f(tilde sign)(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 DD's are used to construct skewed parton distributions (SPD's). For small skewedness, the FV parts of SPD's H(x(tilde sign),{xi}) can be obtained by averaging forward parton densities f(x(tilde sign)-{xi}{alpha}) with the weight {rho}({alpha}) coinciding with the profile function of the double distribution f(tilde sign)(x,{alpha}) at small x. We show that if the x{sup n} moments f(tilde sign){sub n}({alpha}) of DD's have the asymptotic (1-{alpha}{sup 2}){sup n+1} profile, then the {alpha} profile of f(tilde sign)(x,{alpha}) for small x is completely determined by the small-x behavior of the usual parton distribution. We demonstrate that, for small {xi}, the model with asymptotic profiles for f(tilde sign){sub n}({alpha}) is equivalent to that proposed recently by Shuvaev et al., in which the Gegenbauer moments of SPD's do not depend on {xi}. We perform a numerical investigation of the evolution patterns of SPD's and give an interpretation of the results of these studies within the formalism of double distributions. (c) 2000 The American Physical Society.
- OSTI ID:
- 20215972
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 61, Issue 7; Other Information: PBD: 1 Apr 2000; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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