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

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...

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Detalles Bibliográficos
Autores principales: Ericson, Torleif Erik Oskar, Loiseau, B., Wycech, S.
Lenguaje:eng
Publicado: 2004
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1142/S0217751X05023128
http://cds.cern.ch/record/804413
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author Ericson, Torleif Erik Oskar
Loiseau, B.
Wycech, S.
author_facet Ericson, Torleif Erik Oskar
Loiseau, B.
Wycech, S.
author_sort Ericson, Torleif Erik Oskar
collection CERN
description 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).
id cern-804413
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2004
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spelling cern-8044132023-03-14T20:23:52Zdoi:10.1142/S0217751X05023128http://cds.cern.ch/record/804413engEricson, Torleif Erik OskarLoiseau, B.Wycech, S.A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogenParticle Physics - PhenomenologyA 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).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).hep-ph/0411230CERN-PH-TH-2004-227LPNHE-2004-13CERN-PH-TH-2004-227LPNHE-2004-13oai:cds.cern.ch:8044132004-11-17
spellingShingle Particle Physics - Phenomenology
Ericson, Torleif Erik Oskar
Loiseau, B.
Wycech, S.
A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen
title A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen
title_full A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen
title_fullStr A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen
title_full_unstemmed A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen
title_short A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen
title_sort phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1142/S0217751X05023128
http://cds.cern.ch/record/804413
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AT wycechs aphenomenologicaldeterminationofthepionnucleonscatteringlengthsfrompionichydrogen
AT ericsontorleiferikoskar phenomenologicaldeterminationofthepionnucleonscatteringlengthsfrompionichydrogen
AT loiseaub phenomenologicaldeterminationofthepionnucleonscatteringlengthsfrompionichydrogen
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