New QCD Sum Rules for Nucleon Axial Vector Coupling Constants

Details New QCD Sum Rules for Nucleon Axial Vector Coupling Constants New QCD Sum Rules for Nucleon Axial Vector Coupling Constants

1996-06-13

arxiv.org/abs/nucl-th/9606026v1

Physics

Nuclear Physics

Nuclear Theory

2 page conference proceeding for PANIC '96. This and related papers may also be obtained from http://www.phys.washington.edu

Scientific paper

New QCD sum rules for the nucleon axial-vector current coupling constants are derived. One set is derived from a generalized correlator of spin-1/2 interpolating fields, and the other with a mixed correlator of spin-1/2 and spin-3/2 fields. Using a recently-developed Monte-Carlo based uncertainty analysis and techniques for determining the optimal interpolating fields, the predicative ability of QCD sum rules for axial-vector current coupling constants are determined. We find the previous studies of this matrix element are based on an invalid sum rule. A combined analysis of this sum rule together with the nucleon mass sum rules yields $g_A=1.48\pm^{1.06}_{0.65}$. The relative error of approximately 60% is large compared to a 10% error for the nucleon mass obtained from the same input parameters.

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