Precision determination of the pi-N scattering lengths and the charged pi-NN coupling constant

Details Precision determination of the pi-N scattering lengths and the charged pi-NN coupling constant Precision determination of the pi-N scattering lengths and the charged pi-NN coupling constant

1999-07-20

arxiv.org/abs/hep-ph/9907433v2

Nucl.Phys.A663:541-544,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 1 figure, latex and postscript; invited talk at PANIC99; to appear in Nucl. Phys. A; changed notation: g^2 and f^2 re

Scientific paper

10.1016/S0375-9474(99)00651-X

We critically evaluate the isovector GMO sumrule for the charged $\pi N N$ coupling constant using recent precision data from $\pi ^-$p and $\pi^-$d atoms and with careful attention to systematic errors. From the $\pi ^-$d scattering length we deduce the pion-proton scattering lengths ${1/2}(a_{\pi ^-p}+a_{\pi ^-n})=(-20\pm 6$(statistic)$ \pm 10$ (systematic))~$\cdot 10^{-4}m_{\pi_c}^{-1}$ and ${1/2}(a_{\pi ^-p}-a_{\pi ^-n})=(903 \pm 14)\cdot 10^{-4}m_{\pi_c}^{-1}$. From this a direct evaluation gives $g^2_c(GMO)/4\pi =14.20\pm 0.07$(statistic)$\pm 0.13$(systematic) or $f^2_c/4\pi= 0.0786\pm 0.0008$.

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