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18 April 2024 |
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Scalar mesons and low-mass sigma: Does the $sigma$ reveal the confinement singularity? | V.V. Anisovich
; | Date: |
31 Oct 2005 | Abstract: | I 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 | Services: | Forum | Review | PDF | Favorites |
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