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arXiv 1999-07-20 DOI 10.1016/S0375-9474(99)00651-X 0 views

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

Ericson, T. E. O. · Loiseau, B. · Thomas, A. W.

Original · EN

We critically evaluate the isovector GMO sumrule for the charged πN N coupling constant using recent precision data from π-p and π-d atoms and with careful attention to systematic errors. From the π-d scattering length we deduce the pion-proton scattering lengths 1/2(aπ₋ₚ+aπ₋ₙ)=(-20± 6(statistic) ± 10 (systematic)) · 10⁻⁴mπc⁻¹ and 1/2(aπ₋ₚ-aπ₋ₙ)=(903 ± 14)· 10⁻⁴mπc⁻¹. From this a direct evaluation gives g²c(GMO)/4π=14.20± 0.07(statistic)± 0.13(systematic) or f²c/4π= 0.0786± 0.0008.

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