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A low lying scalar meson nonet in a unitarized meson model

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Zeitschrift für Physik C Particles and Fields

Abstract

A unitarized non-relativistic meson model which is successful for the description of the heavy and light vector and pseudo-scalar mesons yields in its extension to the scalar mesons for the same model parameters a complete nonet below 1 GeV. In the unitarization scheme real and virtual meson meson decay channels are coupled to the quark antiquark confinement channels. The flavor dependent harmonic oscillator confining potential itself has bound states ɛ(1.3 GeV),S(1.5 GeV), δ(1.3 GeV), κ(1.4 GeV), similar to the results of other bound stateq \(\bar q\) models. However, the full coupled channel equations show poles at ɛ(0.5 GeV),S(0.99 GeV), δ(0.97 GeV), κ(0.73 GeV). Not only these pole positions can be calculated in our model also cross sections and phase shifts in the meson scattering channels which are in reasonable agreement with the available data for ππ, ηπ andKπ inS-wave scattering.

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of Nijmegen, NL-6525 ED, Nijmegen, The Netherlands

    E. van Beveren, T. A. Rijken, K. Metzger & C. Dullemond

  2. Zentrum für Interdisziplinäre Forschung, Universität Bielefeld, D-4800, Bielefeld 1, Federal Republic of Germany

    G. Rupp

  3. Centro di Fisica da Materia Condensada, Av. do. Prof. Gama Pinto, 2, P-1699, Lisbon, Portugal

    J. E. Ribeiro

Authors
  1. E. van Beveren
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  2. T. A. Rijken
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  3. K. Metzger
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  4. C. Dullemond
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  5. G. Rupp
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  6. J. E. Ribeiro
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van Beveren, E., Rijken, T.A., Metzger, K. et al. A low lying scalar meson nonet in a unitarized meson model. Z. Phys. C - Particles and Fields 30, 615–620 (1986). https://doi.org/10.1007/BF01571811

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  • DOI: https://doi.org/10.1007/BF01571811

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