Determination of the pi N N coupling constant in the vpi / gw pi N N partial wave and dispersion relation analysis
Oct, 1999
20 pages
Part of Critical issues in the determination of the pion nucleon coupling constant. Proceedings, Workshop, Uppsala, Sweden, June 7-8, 1999, Meson nucleon physics and the structure of the nucleon. Proceedings, 8th International Symposium, MENU'99, Zuoz, Switzerland, August 15-21, 1999
Published in:
- PiN Newslett. 15 (1999) 171-175,
- Phys.Scripta T 87 (2000) 65-70
Contribution to:
e-Print:
- nucl-th/9910040 [nucl-th]
Citations per year
Abstract:
Our 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^2/4\pi 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.- talk: Uppsala 1999/06/07
- pi p: elastic scattering
- pi nucleon: coupling constant
- partial wave analysis
- dispersion relation
- correction: Coulomb
- statistical analysis
- numerical calculations: interpretation of experiments
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