Determination of the pion-nucleon coupling constant from QCD sum rules
Birse, M C, Krippa, B V
Abstract
Birse, M C, Krippa, B V
Abstract
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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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.
Key concepts: Sum rule in quantum mechanics, QCD sum rules, Nucleon, Physics, Pion, Coupling constant, Particle physics, Quantum chromodynamics