2000/09/30 by T. E. O. Ericson, T.E.O. Ericson, B. Loiseau +1 · 107 citations
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic physics #Coupling (piping) #Coupling constant #Isovector #Nuclear physics #Nuclear physics research studies #Nucleon #Particle physics #Physics #Pion #Proton #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #Scattering length #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevc.66.014005
published in Physical Review C 66(1) (American Institute of Physics) · 27 pages, 5 figures, submitted to Phys. Rev. C, few modifications and clarifications, no change in substance of the paper
arxiv created 2002/02/26 · openalex publication_date 2002/07/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We critically evaluate the isovector Goldberger-Miyazawa-Oehme (GMO) sum rule for forward \ensuremathπN scattering using the recent precision measurements of \ensuremathπ^\ensuremath-p and \ensuremathπ^\ensuremath-d scattering lengths from pionic atoms. We deduce the charged-pion-nucleon coupling constant, with careful attention to systematic and statistical uncertainties. This determination gives, directly from data, gc2(GMO)/4\mathrm\ensuremathπ=14.11\ifmmode±\else\textpm\fi0.05(statistical)\ifmmode±\else\textpm\fi0.19(systematic) or fc2/4\ensuremathπ=0.0783(11). This value is intermediate between that of indirect methods and the direct determination from backward np differential scattering cross sections. We also use the pionic atom data to deduce the coherent symmetric and antisymmetric sums of the pion-proton and pion-neutron scattering lengths with high precision, namely, (a_\ensuremathπ^\ensuremath-p+a_\ensuremathπ^\ensuremath-n)/2=[\ensuremath-12\ifmmode±\else\textpm\fi2(statistical)\ifmmode±\else\textpm\fi8(systematic)]\ifmmode×\else\texttimes\fi10^\ensuremath-4m_\ensuremathπ^\ensuremath-1 and (a_\ensuremathπ^\ensuremath-p\ensuremath-a_\ensuremathπ^\ensuremath-n)/2=[895\ifmmode±\else\textpm\fi3(statistical)\ifmmode±\else\textpm\fi13 (systematic)]\ifmmode×\else\texttimes\fi10^\ensuremath-4m_\ensuremathπ^\ensuremath-1. For the need of the present analysis, we improve the theoretical description of the pion-deuteron scattering length.