Phase shift analysis of low energy pi+/- p scattering data and a comparison with pionic hydrogen data
Abstract
Using newly calculated electromagnetic corrections, we have made a phase shift analysis of experimental data on pi+/- p elastic scattering up to 100 MeV, assuming the effective hadronic interaction to be isospin invariant. The output consists of parametrised s and p-wave hadronic phases for isospin 1/2 and 3/2. It is not possible to fit the charge exchange data satisfactorily. We give values for the s-wave scattering lengths and effective ranges and for the p-wave scattering volumes. The combinations 2a1 + a3 and a1 - a3 of s-wave scattering lengths extracted from pionic hydrogen data are compared with those obtained from our analysis.
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