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Behaviour of S-Wave poles Near Threshold and the Scalar Meson Nonet Below 1 GeV

Eef van Beveren·George Rupp
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Abstract

We describe the behaviour at threshold of S-wave poles of the scattering matrix within a four-parameter model for non-exotic meson-meson scattering. This model accommodates all non-exotic mesons, hence also the light scalar mesons, as resonances and bound states characterised by complex singularities of the scattering amplitude as a function of the total invariant mass. The majority of the full S-matrix mesonic poles stem from an underlying confinement spectrum. However, the light scalar mesons K0*(830), a0(980), f0(400--1200), and f0(980) do not, but instead originate in 3P0-barrier semi-bound states. We show that the behaviour of the corresponding poles is identical at threshold.

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Eef van Beveren, George Rupp. 2002-07-03. Behaviour of S-Wave poles Near Threshold and the Scalar Meson Nonet Below 1 GeV. https://arxiv.org/abs/hep-ph/0207022

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