4.7 Article

Nucleon QCD sum rules with radiative corrections

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PHYSICAL REVIEW D
卷 72, 期 11, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.72.114015

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QCD sum rules for the nucleon are considered in complex q(2) plane with inclusion of the radiative corrections of the order alpha(s). It is shown that the radiative corrections affect mainly the residue lambda(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(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.

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