Abstract
The well-known methods of partial-wave dispersion relations and backward amplitude dispersion relations for analysing πN phase shifts with a view to obtain the low-energy ππ interaction have been modified by means of recent theories for performing analytic continuation of experimental data in order to obtain a unified model independent treatment. Good agreement between the two methods can be obtained only after a most important correction term has been taken into account, a fact which was overlooked in all previous applications of backward dispersion relations. First results of application of the FESR method of ref. [15] for calculating a partial-wave amplitude in an extended region on the left-hand cut are presented. Results for the T = J = 1 ππ → N N interaction are in accordance with results of Höhler et al. [12]. Results for the T = J = 0 case are against a phase shift that resonates clearly below 900 MeV and in favour of the up-down or down-down solution of ref. [13]. Some information of ππ d-waves is given.
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