Phase shift analysis of low energy pi+/- p scattering data and a comparison with pionic hydrogen data

Details Phase shift analysis of low energy pi+/- p scattering data and a comparison with pionic hydrogen data Phase shift analysis of low energy pi+/- p scattering data and a comparison with pionic hydrogen data

2000-09-07

arxiv.org/abs/hep-ph/0009081v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

This work is superseded by later papers, see Nucl. Phys. A 778 (2006) 95 and Nucl. Phys. A 794 (2007) 73

Scientific paper

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 2a_1 + a_3 and a_1 - a_3 of s-wave scattering lengths extracted from pionic hydrogen data are compared with those obtained from our analysis.

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