Determination of the hadronic width of the ground state in pionic hydrogen |
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Authors: | A. Hirtl |
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Affiliation: | 1. Stefan Meyer Institute for Subatomic Physics, Boltzmanngasse 3, 1090, Vienna, Austria
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Abstract: | In a new high-precision experiment at the Paul Scherrer Institut (PSI), the hadronic shift (ε 1s) and width (Γ1s) of the ground state of pionic hydrogen, which are directly connected to the pion-nucleon isospin scattering lengths, were remeasured (PSI-Experiment R-98-01 Gotta et al. 1998). The results can be confronted with recent work of effective field theories defined in the low-energy limit of quantum chromodynamics (QCD), such as, e. g., chiral perturbation theory (ChPT). In addition, Γ1s is connected to the pion-nucleon coupling constant f πN. A precisely known value for f πN allows an accurate determination of the Goldberger-Treiman discrepancy, which constitutes a measure of chiral symmetry breaking. This contribution is mainly devoted to describe a method for an accurate extraction of the hadronic width from the π ??H data. |
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