Model-independent study of the QCD sum rule for the pi NN coupling constant

Details Model-independent study of the QCD sum rule for the pi NN coupling constant Model-independent study of the QCD sum rule for the pi NN coupling constant

2001-02-13

arxiv.org/abs/nucl-th/0102028v2

Phys.Rev. C66 (2002) 028201

Physics

Nuclear Physics

Nuclear Theory

20 pages, 2 figures

Scientific paper

10.1103/PhysRevC.66.028201

We reinvestigate the QCD sum rule for the pi NN coupling constant, g, starting from the vacuum-to-pion matrix element of the correlation function of the interpolating fields of two nucleons. We study in detail the physical content of the correlation function without referring to the effective theory. We consider the invariant correlation functions by splitting the correlation function into different Dirac structures. We show that the coefficients of the double-pole terms are proportional to g but that the coefficients of the single-pole terms are not determined by g. In the chiral limit the single-pole terms as well as the continuum terms are ill defined in the dispersion integral. Therefore, the use of naive QCD sum rules obtained from the invariant correlation functions is not justified. A possible procedure to avoid this difficulty is discussed.

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