Determination of Partial-Wave Inelasticities for Elastic Pion-Nucleon Scattering with the Aid of Experimental Data on πN → ππN Processes in the Beam-Momentum Range 300 < Pbeam < 500 MeV/c

The partial-wave inelasticity parameters of the amplitude for elastic pion-nucleon scattering are determined with the aid of the phenomenological amplitude for inelastic pi N -> pi pi N processes in the energy range extending to the threshold for the production of two pions. The resulting inelasticity parameters are compared with their counterparts derived from modern partial-wave analyses. The largest inelastic-scattering cross section in the P11 wave is in excellent agreement with the analogous value from the analysis performed at the George Washington University in 2006. For other waves, however, the present results differ in the majority of cases from respective values given by partial-wave analyses ( the distinctions are especially large for the isospin-3/2 amplitudes).