Determination of the s-wave pion-nucleon threshold scattering parameters from the results of experiments on pionic hydrogen

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dc.creatorOades, G. C.
dc.creatorRasche, G.
dc.creatorWoolcock, W. S.
dc.creatorMatsinos, E.
dc.creatorGashi, A.
dc.date2007-02-26
dc.date2007-09-21
dc.date.accessioned2026-07-07T11:59:09Z
dc.date.available2026-07-07T11:59:09Z
dc.descriptionWe give the conversion equations which lead from experimental values of the $3p \to 1s$ transition energy in pionic hydrogen and the total width of the $1s$ level to values of the s-wave threshold scattering parameters for the processes $π^-p \to π^-p$ and $π^-p \to π^0n$ respectively. Using a three-channel potential model, we then calculate the electromagnetic corrections to these quantities, which remove the effects of the Coulomb interaction, the external mass differences and the presence of the $γn$ channel. We give the s-wave scattering parameters obtained from the present experimental data and these electromagnetic corrections. Finally we discuss the implications for isospin invariance.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/hep-ph/0702258
dc.identifierhttp://arxiv.org/abs/hep-ph/0702258
dc.identifierNucl.Phys.A794:73-86,2007
dc.identifierdoi:10.1016/j.nuclphysa.2007.07.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206466
dc.subjectHigh Energy Physics - Phenomenology
dc.titleDetermination of the s-wave pion-nucleon threshold scattering parameters from the results of experiments on pionic hydrogen
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