QCD sum rule calculation of the $πNN$ coupling-revisited

Details QCD sum rule calculation of the $πNN$ coupling-revisited QCD sum rule calculation of the $πNN$ coupling-revisited

1998-09-02

arxiv.org/abs/nucl-th/9809004v2

Phys.Lett. B453 (1999) 199-205

Physics

Nuclear Physics

Nuclear Theory

11 pages, revtex, substantial revision, the final version accepted for publication in Physics Letters B

Scientific paper

10.1016/S0370-2693(99)00379-2

In the conventional QCD sum rule calculation for the $\pi NN$ coupling beyond the soft-pion limit, there are three distinct Dirac structures, each of which can be used to construct separate sum rule. We point out subtleties in the previous sum rule results, based on one of the Dirac structure, associated with using either the PV or the PS coupling schemes in modeling the phenomenological side. We propose a sum rule coming from a different Dirac structure, which is independent of the coupling schemes used and has less uncertainty in the OPE. The obtained value is $g_{\pi N}=9.76 \pm 2.04$ where the uncertainty mainly comes from the quark-gluon mixed condensate.

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