Precision determination of the $\piN$ scattering lengths and the charged $\piNN$ coupling constant - IN2P3 - Institut national de physique nucléaire et de physique des particules Access content directly
Conference Papers Year : 2000

Precision determination of the $\piN$ scattering lengths and the charged $\piNN$ coupling constant

Abstract

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 $f^2_c/4\pi= 0.0786\pm 0.0008$.

Dates and versions

in2p3-00195705 , version 1 (11-12-2007)

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Cite

T. E. O. Ericson, B. Loiseau, A. W. Thomas. Precision determination of the $\piN$ scattering lengths and the charged $\piNN$ coupling constant. International Conference on Particles and Nuclei 15 PANIC'99, Jun 1999, Uppsala, Sweden. pp.541-544, ⟨10.1016/S0375-9474(99)00651-X⟩. ⟨in2p3-00195705⟩
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