Determination of the hadronic width of the ground state in pionic hydrogen

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• 作者：A. Hirtl and for the Pionic Hydrogen collaboration
• 关键词：Pionic hydrogen ; Low energy pion nucleon interaction ; Pion nucleon coupling constant
• 刊名：Hyperfine Interactions
• 出版年：2009
• 出版时间：September, 2009
• 年：2009
• 卷：193
• 期：1-3
• 页码：153-157
• 全文大小：225.7 KB

文摘

In a new high-precision experiment at the Paul Scherrer Institut (PSI), the hadronic shift (ε _1s) and width (Γ_1s) 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, Γ_1s 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.