Phase shift analysis of low energy p scattering data and a comparison with pionic hydrogen data

Using newly calculated electromagnetic corrections [1], [2], we have made a phase shift analysis of the experimental data on p elastic scattering up to a pion laboratory kinetic energy of 100 MeV. The eective hadronic interaction was assumed to be isospin invariant. The output consists of six hadronic phase shifts in parametrised form: the s-, p1=2 -a ndp3=2-waves for total isospin 3= 2a nd 1=2. It is not possible, using these phase shifts, to t the p charge exchange data satisfactorily. We give the values of the s-wave scattering lengths and eective ranges and the p-wave scattering volumes obtained from the parametrisations and compare the combinations 2a1+a3 and a1 a3 of s-wave hadronic scattering lengths extracted from the results of experiments on pionic hydrogen with those obtained from our phase shift analysis. PACS: 13.75.Gx,25.80.Dj