How precisely can we determine the pion-nucleon coupling constant from the isovector GMO sum rule?

Details How precisely can we determine the pion-nucleon coupling constant from the isovector GMO sum rule? How precisely can we determine the pion-nucleon coupling constant from the isovector GMO sum rule?

2000-02-04

arxiv.org/abs/hep-ph/0002056v1

PiN Newslett.15:162-166,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk given at the Eighth International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon, Zuoz, Switzerland,

Scientific paper

The isovector GMO sum rule for zero energy forward pion-nucleon scattering is critically studied to obtain the charged pion-nucleon coupling constant using the precise negatively charged pion-proton and pion-deuteron scattering lengths deduced recently from pionic atom experiments. This direct determination leads to a pseudoscalar charged pion-nucleon coupling constant of 14.23 +- 0.09 (statistic) +- 0.17 (systematic). We obtain also accurate values for the pion-nucleon scattering lengths.

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