Mutichannel resonances in the coupled channels of meson scattering: A scalar sector
- Slovak Academy of Sciences, Bratislava (Slovakia)
- Joint Institute for Nuclear Research, Dubna (Russian Federation)
A method is formulated for determining model-independent values of the parameters of multichannel resonances with the aim of establishing the QCD nature of these resonances. The approach is based on direct application of such general principles as analyticity and unitarity to the analysis of experimental data on coupled processes of particle scattering. The representation of resonances by pairs of complex conjugate clusters of poles and zeros on the Riemann surfaces of two- and three-channel S matrices is discussed. The multisheet structure of the Riemann surfaces is taken into account by choosing proper uniformizing variables. In this approach, the analysis of data on one process makes it possible to predict the amplitudes of other coupled processes. This can be done by constructing analytic continuations of the S matrix to all unphysical sheets of the Riemann surface or with the aid of formulas of the Le Couteur-Newton type. The role of closed channels in the formation of resonances is investigated in the K- and S-matrix approaches. The method is applied to the isoscalar s-wave channel of the coupled processes {pi}{pi} {yields} {pi}{pi}, K{bar K}, {eta}{eta} and of scalar resonances. 36 refs., 6 figs., 4 tabs.
- OSTI ID:
- 161637
- Journal Information:
- Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 9 Vol. 58; ISSN 1063-7788; ISSN PANUEO
- Country of Publication:
- United States
- Language:
- English
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