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18 April 2024
 
  » arxiv » hep-ph/0510409

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Scalar mesons and low-mass sigma: Does the $sigma$ reveal the confinement singularity?
V.V. Anisovich ;
Date 31 Oct 2005
AbstractI present a short review of the current understanding of the scalar meson sector, with special attention to the problem of the low-mass $sigma$. The dispersion relation $N/D$-method used for the restoration of the low-energy $pipi$ $(IJ^{PC}=00^{++})$-wave amplitude is discussed. The low-energy $pipi$ amplitude was determined from the data in the energy region 280--500 MeV and it was sewn with the previously found $K$-matrix solution for the region 450--1950 MeV. The $N/D$-amplitude has a pole on the second sheet of the complex-$s$ plane, near the $pipi$ threshold at $sqrt s simeq 430-i325$ MeV, that corresponds to the low-mass $sigma$-meson. I discuss the hypothesis that this pole may be related to the confinement forces, thus being the eyewitness of confinement.
Source arXiv, hep-ph/0510409
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