Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2005-01-28
Eur.Phys.J. C41 (2005) 213-232
Physics
Nuclear Physics
Nuclear Theory
The replacement includes an erratum, which is published in Eur. Phys. J. C
Scientific paper
10.1140/epjc/s2005-02182-4
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 throughly 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 with the earlier work on the subject, carried out within the potential model and multiple scattering framework.
Meißner Ulf-G.
Raha Udit
Rusetsky Akaki
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