Phase-shift analysis of π +π − scattering between 1.0 and 1.8 GeV based on fixed momentum transfer analyticity (II)

Abstract

We present our final results for a ππ phase-shift analysis based on extrapolated moments obtained from the 17 GeV/ c CERN-Munich experiment on π −p→ π + π −n. Compared to our previous publication [1] the final results show no important qualitative change but the numerical accuracy is considerably improved as a result of using modified techniques both in the fixed-momentum transfer analysis and in the phase-shift analysis. As a result, various diseases of our old solution have been cured. We analyze in some detail the coupling of the ϱ′(1600) to 2π, clearly seen in our solution. We argue that our technique has solved the phase-shift ambiguities previously obtained and we give details of our solution which has a very good x 2 to the data as well as a high numerical consistency with fixed- t, fixed- u and fixed- s analyticity.