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Title: Nucleon QCD sum rules with radiative corrections

Journal Article · · Physical Review. D, Particles Fields
; ;  [1]
  1. Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188300 (Russian Federation)

QCD sum rules for the nucleon are considered in complex q{sup 2} plane with inclusion of the radiative corrections of the order {alpha}{sub s}. It is shown that the radiative corrections affect mainly the residue {lambda}{sup 2} of the nucleon pole. Their influence on the value of the nucleon mass is much smaller. Following the ideas of Ioffe and Zyablyuk we expand the analysis to complex values of q{sup 2}. This provides a more stable solution. Varying the weights of the contributions of different dimensions by changing the value of the angle in the complex plane we find the value of the six-quark condensate which insures the best consistency of the right hand sides and left-hand sides of the sum rules. The corresponding value of the six-quark condensate appears to be only about 10% smaller then the one, provided by the factorization approximation. The value of the four-quark condensate also appears to be close to the one, corresponding to the factorization assumption. The role of the gluon condensate and its possible values are discussed.

OSTI ID:
20774435
Journal Information:
Physical Review. D, Particles Fields, Vol. 72, Issue 11; Other Information: DOI: 10.1103/PhysRevD.72.114015; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English

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