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Paper   IPM / Particles / 8948
School of Particles and Accelerator
  Title:   Renormalization group improvement and constituent quark model
  Author(s): 
1.  Abolfazl Mirjalili
2.  Ali Naghi Khorramian
3.  Shahin Atashbar Tehrani
  Status:   Published
  Journal: Nucl. Phys. B Proc. Suppl.
  Vol.:  186
  Year:  2009
  Pages:   137-140
  Supported by:  IPM
  Abstract:
The scale dependence in perturbative QCD remains on obstacle to making precise tests of the theory. To over come the scale ambiguity while people are usually using the standard MS approach with a physical choice of renormalization scale, we try to employ the approach of complete RG-improvement. In this approach all ultraviolet logarithms involving the dimensionful parameter, Q, on which the observable depends are resummed, thereby building the correct Q-dependence. Based on these two approaches, sea quark densities in the nucleon are analyzed. To achieve the asymmetry of these densities, chiral quark model is used. To avoid from the unaccepted Q2 behavior of sea densities inside the constituent quark, we assume that the free parameter which exists in the vertex function of boson-quark splitting function, is Q2-dependence. Using un-symmetrized sea densities of the nucleon, the Gottfried sum rule is calculated in these two approaches. The result of the latter one is very close to the reported experimental value.

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