Author:
Gotta D.,Amaro F.D.,Anagnostopoulos D.F.,Bühler P.,Covita D.S.,Fuhrmann H.,Gorke H.,Gruber A.,Hennebach M.,Hirtl A.,Ishiwatari T.,Indelicato P.,Jensen T.S.,Le Bigot E.-O.,Liu Y.-W.,Manil B.,Markushin V.E.,Marton J.,Nekipelov M.,Pomerantsev V.N.,Popov V.P.,el Hassani A. J. Rusi,dos Santos J. M. F.,Schlesser S.,Schmid Ph.,Simons L.M.,Strauch Th.,Theisen M.,Trassinelli M.,Veloso J. F. C. A.,Zmeskal J.
Abstract
The strong-interaction effects both in pionic hydrogen and deuterium atoms have been re-determined with improved precision. The hadronic shift and width in pionic hydrogen together with the hadronic shift in pionic deuterium constitute a one-fold constraint for the two independent pion-nucleon scattering lengths. Furthermore, the hadronic width in pionic deuterium measures the transition strength of s-wave pions on an isoscalar nucleon-nucleon pair which is an independent quantity not related to the pion-nucleon scattering lengths. The experiment was performed at the Paul Scherrer Institute by stopping a high-intensity low-energy pion beam in gaseous targets using the cyclotron trap. The X-rays emitted by the πH and πD atoms were analysed with a high resolution Bragg spectrometer equipped with spherically bent crystals. The pion-nucleon scattering lengths and other physical quantities extracted from the atom data are in good agreement with the results obtained from pionnucleon and nucleon-nucleon scattering experiments and confirm that a consistent picture is achieved for the low-energy pion-nucleon sector with respect to the expectations of chiral perturbation theory.
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