• Medientyp: E-Artikel
  • Titel: Precision calculation of threshold pi(-)d scattering, pi N scattering lengths, and the GMO sum rule
  • Beteiligte: Baru, V. [VerfasserIn]; Hanhart, C. [VerfasserIn]; Hoferichter, M. [VerfasserIn]; Kubis, B. [VerfasserIn]; Nogga, A. [VerfasserIn]; Phillips, D. R. [VerfasserIn]
  • Erschienen: North-Holland Publ. Co., 2011
  • Erschienen in: Nuclear physics / A 872, 69 - 116 (2011). doi:10.1016/j.nuclphysa.2011.09.015
  • Sprache: Englisch
  • DOI: https://doi.org/10.1016/j.nuclphysa.2011.09.015
  • ISSN: 0375-9474
  • Schlagwörter: Pion-baryon interactions ; threshold ; Electromagnetic corrections to strong-interaction processes ; perturbation theory: chiral ; hyperonic and antiprotonic atoms and molecules ; Chiral Lagrangians ; Mesonic ; pi nucleon: scattering length ; numerical calculations ; sum rule ; Delta(1232) ; isospin: violation ; pi-: mesic atom ; deuteron: binding energy ; pi deuteron: scattering length
  • Entstehung:
  • Anmerkungen: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Beschreibung: We use chiral perturbation theory (ChPT) to calculate the pi(-)d scattering length with an accuracy of a few percent, including isospin-violating corrections in both the two- and three-body sectors. In particular, we provide the technical details of a recent letter (Baru et al., 2011) [1], where we used data on pionic deuterium and pionic hydrogen atoms to extract the isoscalar and isovector pion-nucleon scattering lengths a(+) and a(-). We study isospin-breaking contributions to the three-body part of a(pi-d) due to mass differences, isospin violation in the pi N scattering lengths, and virtual photons. This last class of effects is ostensibly infrared enhanced due to the smallness of the deuteron binding energy. However, we show that the leading virtual-photon effects that might undergo such enhancement cancel, and hence the standard ChPT counting provides a reliable estimate of isospin violation in a(pi-d) due to virtual photons. Finally, we discuss the validity of the Goldberger-Miyazawa-Oehme sum rule in the presence of isospin violation, and use it to determine the charged-pion-nucleon coupling constant. (C) 2011 Elsevier B.V. All rights reserved.
  • Zugangsstatus: Freier Zugang