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23 May 2022
 
  » arxiv » nucl-th/9910040

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Determination of the Pion-Nucleon Coupling Constant in the VPI/GW Pion-Nucleon Elastic Scattering Partial Wave and Dispersion Relation Analyis
M. M. Pavan ; R. A. Arndt ; I. I. Strakovsky ; R. L. Workman ;
Date 14 Oct 1999
Journal PiN Newslett. 15 (1999) 171-175; Phys.Scripta T87 (2000) 65-70
Subject nucl-th
AffiliationMIT, Cambridge MA), R. A. Arndt (VPI, Blacksburg VA), I. I. Strakovsky and R. L. Workman (GWU, Washington D.C.
AbstractOur extraction of the pion-nucleon coupling constant from pi p elastic scattering data is outlined. A partial wave analysis (T_{pi} < 2100 MeV) is performed simultaneously with a fixed-t dispersion relation analysis (T_{pi} < 800 MeV). The pi NN coupling constant g^2/4pi is searched to find the best fit. The result 13.73 pm 0.01 pm 0.07 (first error statistical, second systematic) is found to be insensitive to database changes and Coulomb barrier corrections. This value satisfies important elements of low energy QCD like the Goldberger-Treiman discrepancy, the Dashen-Weinstein sum rule, and chiral perturbation theory predictions of threshold pion photoproduction.
Source arXiv, nucl-th/9910040
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