A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen

Details A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen

2004-11-17

arxiv.org/abs/hep-ph/0411230v1

Int.J.Mod.Phys.A20:1650-1655,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

Invited talk at the 10th International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon (MENU 2004), Beijin

Scientific paper

10.1142/S0217751X05023128

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).

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