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10th International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon (MENU2004), Pekin : Chine
A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen
T.E.O. Ericson, B. Loiseau1, S. Wycech

A model independent expression for the electromagnetic corrections to a phenomenological hadronic pion-nucleon scattering length, extracted from pionic hydrogen, is obtained. In a non-relativistic approach and using an extended charge distribution, these corrections are derived up to terms of order (alpha)**2 log(alpha) in the limit of a short-range hadronic interaction. We infer a charged pion-proton scattering length of 0.0870(5) in units of inverse pion mass, which gives for the charged pion-proton-neutron coupling, through the GMO relation, a value of 14.04(17).
1 :  LPNHE - Laboratoire de Physique Nucléaire et de Hautes Énergies
Physique/Physique des Hautes Energies - Phénoménologie
$\piN$ scattering lengths – pionic hydrogen – extended charge distribution and short-range hadronic interaction
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