Scalar mesons and low-mass sigma: Does the $σ$ reveal the confinement singularity?
| dc.creator | Anisovich, V. V. | |
| dc.date | 2005-10-31 | |
| dc.date.accessioned | 2026-07-07T10:29:46Z | |
| dc.date.available | 2026-07-07T10:29:46Z | |
| dc.description | I present a short review of the current understanding of the scalar meson sector, with special attention to the problem of the low-mass $σ$. The dispersion relation $N/D$-method used for the restoration of the low-energy $ππ$ $(IJ^{PC}=00^{++})$-wave amplitude is discussed. The low-energy $ππ$ 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 $ππ$ threshold at $\sqrt s \simeq 430-i325$ MeV, that corresponds to the low-mass $σ$-meson. I discuss the hypothesis that this pole may be related to the confinement forces, thus being the eyewitness of confinement. | |
| dc.description | 27 pages, 13 figure | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0510409 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0510409 | |
| dc.identifier | Int.J.Mod.Phys.A21:3615-3640,2006 | |
| dc.identifier | doi:10.1142/S0217751X06031569 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/177923 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Scalar mesons and low-mass sigma: Does the $σ$ reveal the confinement singularity? | |
| dc.type | text |