Abstract
The method to obtain the model-independent values of multichannel-resonance parameters is formulated for determining their QCD nature. The approach is based on the immediate application of such general principles, as analyticity and unitarity, to the analysis of experimental data on the coupled processes of particle scattering. The resonance representation by pairs of complex conjugate clusters of poles and zeros on the Riemann surfaces of the 2- and 3-channel S-matrices are discussed. The multi sheet structure of the Riemann surfaces is taken into account through the choice of proper uniformizing variables. The method permits, on the basis of the analysis on one process, to predict the remaining coupled-process amplitudes. This can be made in two manners: using the analytical continuations of S-matrix to all the unphysical sheets of the Riemann surface and the formulae of the Le Couteur-Newton type. The role of closed channels in forming the resonances is investigated in both the K- and S-matrix approaches. The method is concretized with the isoscalar s-wave channel of coupled processes {pi}{pi} -> {pi}{pi}, K K, {eta}{eta} and of scalar resonances. (author). 36 refs.; 6 figs.; 4 tabs.
Krupa, D;
[1]
Meshcheryakov, V A;
Surovtsev, Yu S
[2]
- Slovenska Akademia Vied, Bratislava (Slovakia). Fyzikalny Ustav
- Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Citation Formats
Krupa, D, Meshcheryakov, V A, and Surovtsev, Yu S.
Multichannel Resonances in Coupled Channels of Meson Scattering: Scalar Sector; Mnogokanal`nye rezonansy v svyazannykh kanalakh rasseyaniya mezonov: skalyarnyj sektor.
JINR: N. p.,
1994.
Web.
Krupa, D, Meshcheryakov, V A, & Surovtsev, Yu S.
Multichannel Resonances in Coupled Channels of Meson Scattering: Scalar Sector; Mnogokanal`nye rezonansy v svyazannykh kanalakh rasseyaniya mezonov: skalyarnyj sektor.
JINR.
Krupa, D, Meshcheryakov, V A, and Surovtsev, Yu S.
1994.
"Multichannel Resonances in Coupled Channels of Meson Scattering: Scalar Sector; Mnogokanal`nye rezonansy v svyazannykh kanalakh rasseyaniya mezonov: skalyarnyj sektor."
JINR.
@misc{etde_10112629,
title = {Multichannel Resonances in Coupled Channels of Meson Scattering: Scalar Sector; Mnogokanal`nye rezonansy v svyazannykh kanalakh rasseyaniya mezonov: skalyarnyj sektor}
author = {Krupa, D, Meshcheryakov, V A, and Surovtsev, Yu S}
abstractNote = {The method to obtain the model-independent values of multichannel-resonance parameters is formulated for determining their QCD nature. The approach is based on the immediate application of such general principles, as analyticity and unitarity, to the analysis of experimental data on the coupled processes of particle scattering. The resonance representation by pairs of complex conjugate clusters of poles and zeros on the Riemann surfaces of the 2- and 3-channel S-matrices are discussed. The multi sheet structure of the Riemann surfaces is taken into account through the choice of proper uniformizing variables. The method permits, on the basis of the analysis on one process, to predict the remaining coupled-process amplitudes. This can be made in two manners: using the analytical continuations of S-matrix to all the unphysical sheets of the Riemann surface and the formulae of the Le Couteur-Newton type. The role of closed channels in forming the resonances is investigated in both the K- and S-matrix approaches. The method is concretized with the isoscalar s-wave channel of coupled processes {pi}{pi} -> {pi}{pi}, K K, {eta}{eta} and of scalar resonances. (author). 36 refs.; 6 figs.; 4 tabs.}
place = {JINR}
year = {1994}
month = {Dec}
}
title = {Multichannel Resonances in Coupled Channels of Meson Scattering: Scalar Sector; Mnogokanal`nye rezonansy v svyazannykh kanalakh rasseyaniya mezonov: skalyarnyj sektor}
author = {Krupa, D, Meshcheryakov, V A, and Surovtsev, Yu S}
abstractNote = {The method to obtain the model-independent values of multichannel-resonance parameters is formulated for determining their QCD nature. The approach is based on the immediate application of such general principles, as analyticity and unitarity, to the analysis of experimental data on the coupled processes of particle scattering. The resonance representation by pairs of complex conjugate clusters of poles and zeros on the Riemann surfaces of the 2- and 3-channel S-matrices are discussed. The multi sheet structure of the Riemann surfaces is taken into account through the choice of proper uniformizing variables. The method permits, on the basis of the analysis on one process, to predict the remaining coupled-process amplitudes. This can be made in two manners: using the analytical continuations of S-matrix to all the unphysical sheets of the Riemann surface and the formulae of the Le Couteur-Newton type. The role of closed channels in forming the resonances is investigated in both the K- and S-matrix approaches. The method is concretized with the isoscalar s-wave channel of coupled processes {pi}{pi} -> {pi}{pi}, K K, {eta}{eta} and of scalar resonances. (author). 36 refs.; 6 figs.; 4 tabs.}
place = {JINR}
year = {1994}
month = {Dec}
}