Determination of the pion-nucleon coupling constant from QCD sum rules

Details Determination of the pion-nucleon coupling constant from QCD sum rules Determination of the pion-nucleon coupling constant from QCD sum rules

1995-12-08

arxiv.org/abs/hep-ph/9512259v2

Phys.Lett. B373 (1996) 9-15

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages (RevTeX), 1 figure (attached); revised version to appear in Physics Letters B: stronger comments on gamma_5 sum rule,

Scientific paper

10.1016/0370-2693(96)00133-5

We evaluate the $\pi N$ coupling constant using a QCD sum rule based on the pion-to-vacuum matrix element of the correlator of two interpolating nucleon fields. The part of the correlator with Dirac structure $k\llap/\gamma_5$ is used, keeping all terms up to dimension 5 in the OPE and including continuum contributions on the phenomenological side. The ratio of this sum rule to the nucleon sum rule involving condensates of odd dimension yields stable results with values of $g_{\pi N}$ in the range $12\pm 5$. The sources of uncertainty are discussed.

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