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A phenomenological negatively charged pion-proton scattering length from pionic hydrogen

Abstract : We derive a closed, model independent, expression for the electromagnetic correction factor to a phenomenological hadronic scattering length extracted from a hydrogenic atom. It is obtained in a non-relativistic approach and in the limit of a short ranged hadronic interaction to terms of order ((alpha)**2)(log(alpha)) using an extended charge distribution. A hadronic negatively charged pion-proton scattering length of 0.0870(5), in units of inverse charged pion-mass, is deduced, leading to a pion-nucleon coupling constant from the GMO relation equals to 14.04(17).
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http://hal.in2p3.fr/in2p3-00150307
Contributor : Dominique Girod <>
Submitted on : Wednesday, May 30, 2007 - 9:39:31 AM
Last modification on : Wednesday, December 9, 2020 - 3:09:55 PM

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T.E.O. Ericson, B. Loiseau, S. Wycech. A phenomenological negatively charged pion-proton scattering length from pionic hydrogen. Physics Letters B, Elsevier, 2004, 594, pp.76-86. ⟨10.1016/j.physletb.2004.05.009⟩. ⟨in2p3-00150307⟩

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