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Multichannel Resonances in Coupled Channels of Meson Scattering: Scalar Sector; Mnogokanal`nye rezonansy v svyazannykh kanalakh rasseyaniya mezonov: skalyarnyj sektor

Technical Report:

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.
Authors:
Krupa, D; [1]  Meshcheryakov, V A; Surovtsev, Yu S [2] 
  1. Slovenska Akademia Vied, Bratislava (Slovakia). Fyzikalny Ustav
  2. Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
JINR-R-2-94-243
Reference Number:
SCA: 662420; PA: AIX-26:012880; EDB-95:032429; SN: 95001325054
Resource Relation:
Other Information: DN: Submitted to Yadernaya Fizika.; PBD: 1994
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SCALAR MESONS; RESONANCE; SCATTERING; K MATRIX; QUANTUM CHROMODYNAMICS; RIEMANN SPACE; S MATRIX; UNITARITY; 662420; PROPERTIES OF MESONS AND MESON RESONANCES
OSTI ID:
10112629
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Country of Origin:
JINR
Language:
Russian
Other Identifying Numbers:
Other: ON: DE95613783; TRN: XJ9406528012880
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
22 p.
Announcement Date:
Jun 30, 2005

Technical Report:

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}
}