The pion-nucleon scattering lengths from pionic deuterium
Universität Bonn, Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Nußallee 14-16, 53115, Bonn, Germany
2 Forschungszentrum Jülich, Institut für Kenphysik (Theorie), 52425, Jülich, Germany
We use the framework of effective field theories to discuss the determination of the S-wave 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 is extracted from the data. Next, is related to the S-wave 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.
© Springer-Verlag, 2005