The pion-nucleon scattering lengths from pionic deuterium

  • U.-G. Meißner
  • U. Raha
  • A. Rusetsky
theoretical physics

Abstract.

We use the framework of effective field theories to discuss the determination of the S-wave \(\pi N\) scattering lengths from the recent high-precision measurements of pionic deuterium observables. The theoretical analysis proceeds in several steps. Initially, the precise value of the pion-deuteron scattering length \(a_{\pi d}\) is extracted from the data. Next, \(a_{\pi d}\) is related to the S-wave \(\pi N\) scattering lengths a + and a -. We discuss the use of this information for constraining the values of these scattering lengths in the full analysis, which also includes the input from the pionic hydrogen energy shift and width measurements, and thoroughly investigate the accuracy limits for this procedure. In this paper, we also give a detailed comparison to other effective field theory approaches, as well as to the earlier work on the subject, carried out within the potential model and multiple scattering framework.

Keywords

Potential Model Particle Acceleration Multiple Scattering Theory Approach Energy Shift 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  • U.-G. Meißner
    • 1
    • 2
  • U. Raha
    • 1
  • A. Rusetsky
    • 1
  1. 1.Universität BonnHelmholtz-Institut für Strahlen- und Kernphysik (Theorie)BonnGermany
  2. 2.Forschungszentrum JülichInstitut für Kenphysik (Theorie)JülichGermany

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