Determination of the $\pi^-$ p scattering length from pionic hydrogen

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 ((alp...

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Detalles Bibliográficos
Autores principales: Ericson, Torleif Erik Oskar, Loiseau, B., Wycech, S.
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Phenomenology
Acceso en línea:http://cds.cern.ch/record/676647
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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 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).
id cern-676647
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
record_format invenio
spelling cern-6766472023-03-30T02:15:41Zhttp://cds.cern.ch/record/676647engEricson, Torleif Erik OskarLoiseau, B.Wycech, S.Determination of the $\pi^-$ p scattering length from pionic hydrogenParticle Physics - PhenomenologyWe 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).hep-ph/0310134CERN-TH-2003-046LPNHE-2003-07oai:cds.cern.ch:6766472003-10-10
spellingShingle Particle Physics - Phenomenology
Ericson, Torleif Erik Oskar
Loiseau, B.
Wycech, S.
Determination of the $\pi^-$ p scattering length from pionic hydrogen
title Determination of the $\pi^-$ p scattering length from pionic hydrogen
title_full Determination of the $\pi^-$ p scattering length from pionic hydrogen
title_fullStr Determination of the $\pi^-$ p scattering length from pionic hydrogen
title_full_unstemmed Determination of the $\pi^-$ p scattering length from pionic hydrogen
title_short Determination of the $\pi^-$ p scattering length from pionic hydrogen
title_sort determination of the $\pi^-$ p scattering length from pionic hydrogen
topic Particle Physics - Phenomenology
url http://cds.cern.ch/record/676647
work_keys_str_mv AT ericsontorleiferikoskar determinationofthepipscatteringlengthfrompionichydrogen
AT loiseaub determinationofthepipscatteringlengthfrompionichydrogen
AT wycechs determinationofthepipscatteringlengthfrompionichydrogen

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