Complex masses in the S-matrix

Physics – High Energy Physics – High Energy Physics - Phenomenology

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6 pages, 2 figures, Acta Physica Polonica B style; plenary talk given by George Rupp at the workshop Excited QCD 2010, 31 Jan.

Scientific paper

Most excited hadrons have multiparticle strong decay modes, which can often be described as resulting from intermediate states containing one or two resonances. In a theoretical approach, such a description in terms of quasi-two-particle initial and final states leads to unitarity violations, because of the complex masses of the involved resonances. In the present paper, an empirical algebraic procedure is presented to restore unitarity of the S-matrix while preserving its symmetry. Preliminary results are presented in a first application to S-wave pion-pion scattering, in the framework of the Resonance-Spectrum Expansion.

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