The S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory

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dc.creatorBeane, S. R.
dc.creatorBernard, V.
dc.creatorEpelbaum, E.
dc.creatorMeissner, Ulf-G.
dc.creatorPhillips, D. R.
dc.date2002-06-24
dc.date.accessioned2026-07-07T13:05:10Z
dc.date.available2026-07-07T13:05:10Z
dc.descriptionThe pion-deuteron scattering length is computed to next-to-next-to-leading order in baryon chiral perturbation theory. A modified power-counting is then formulated which properly accounts for infrared enhancements engendered by the large size of the deuteron, as compared to the pion Compton wavelength. We use the precise experimental value of the real part of the pion-deuteron scattering length determined from the decay of pionic deuterium, together with constraints on pion-nucleon scattering lengths from the decay of pionic hydrogen, to extract the isovector and isoscalar S-wave pion-nucleon scattering lengths, a^- and a^+, respectively. We find a^-=(0.0918 \pm 0.0013) M_π^{-1} and a^+=(-0.0034 \pm 0.0007) M_π^{-1}.
dc.description19 pages LaTeX, 7 eps figs
dc.identifierhttps://arxiv.org/abs/hep-ph/0206219
dc.identifierhttp://arxiv.org/abs/hep-ph/0206219
dc.identifierNucl.Phys.A720:399-415,2003
dc.identifierdoi:10.1016/S0375-9474(03)01008-X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227408
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory
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