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Article
Report number	hep-ph/0411230 ; CERN-PH-TH-2004-227 ; LPNHE-2004-13 ; CERN-PH-TH-2004-227 ; LPNHE-2004-13
Title	A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen
Related title	PION NUCLEON
Author(s)	Ericson, Torleif Erik Oskar (CERN) ; Loiseau, B. (Paris U., VI-VII) ; Wycech, S. (Warsaw, Inst. Nucl. Studies)
Affiliation	(CERN)
Publication	2005
Imprint	17 Nov 2004
Number of pages	6
Note	Invited talk at the 10th International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon (MENU 2004), Beijing, China, August 29 - September 4, 2004 Report-no: CERN-PH-TH/2004-227, LPNHE 2004-13
In:	Int. J. Mod. Phys. A 20 (2005) 1650-1655
In:	10th International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon, Beijing, China, 29 Aug - 4 Sep 2004, pp.1650-1655
DOI	10.1142/S0217751X05023128
Subject category	Particle Physics - Phenomenology
Abstract	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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