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The low-mass sigma-meson: Is it an eyewitness of confinement?

V. V. Anisovich·V. A. Nikonov
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Abstract

In the framework of the dispersion relation N/D-method we restore the low-energy pi-pi (IJ^{PC}=00^{++})-wave amplitude sewing it with the previously obtained K-matrix solution for the region 450--1900 MeV [V.V. Anisovich, Yu.D. Prokoshkin and A.V. Sarantsev, Phys. Lett. B389, 388 (1996)]. The restored N/D-amplitude has a pole on the second sheet of the complex-s plane, near the pi-pi threshold. We discuss the hypothesis that this low-mass pole, or the low-mass sigma-meson, corresponds to the dynamical state related to the confinement forces, that is the eyewitness of confinement.

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V. V. Anisovich, V. A. Nikonov. 1999-11-29. The low-mass sigma-meson: Is it an eyewitness of confinement?. https://arxiv.org/abs/hep-ph/9911512

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