Elastic scattering of low energy pions by nuclei and the in-medium isovectorπNamplitude

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Abstract

Measurements of elastic scattering of 21.5 MeV ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}$ by Si, Ca, Ni, and Zr were made by using a single-arm magnetic spectrometer. Absolute calibration was made by parallel measurements of Coulomb scattering of muons. Parameters of a pion-nucleus optical potential were obtained from fits to all eight angular distributions put together. The anomalous s-wave repulsion known from pionic atoms is clearly observed and could be removed by introducing a chiral-motivated density dependence of the isovector scattering amplitude, which also greatly improved the fits to the data. The empirical energy dependence of the isoscalar amplitude also improves the fits to the data but, contrary to what is found with pionic atoms, on its own is incapable of removing the anomaly.

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