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

1999/11/29 by V. V. Anisovich, Anisovich, V. V., V. A. Nikonov +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9911512

9 pages, LaTeX, 7 EPS figures, epsfig.sty

arxiv created 1999/11/29 · arxiv updated 2009/11/30

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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