English

Scalar mesons and low-mass sigma: Does the $\sigma$ reveal the confinement singularity?

High Energy Physics - Phenomenology 2008-11-26 v1

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 σ\sigma. The dispersion relation N/DN/D-method used for the restoration of the low-energy ππ\pi\pi (IJPC=00++)(IJ^{PC}=00^{++})-wave amplitude is discussed. The low-energy ππ\pi\pi amplitude was determined from the data in the energy region 280--500 MeV and it was sewn with the previously found KK-matrix solution for the region 450--1950 MeV. The N/DN/D-amplitude has a pole on the second sheet of the complex-ss plane, near the ππ\pi\pi threshold at s430i325\sqrt s \simeq 430-i325 MeV, that corresponds to the low-mass σ\sigma-meson. I discuss the hypothesis that this pole may be related to the confinement forces, thus being the eyewitness of confinement.

Keywords

Cite

@article{arxiv.hep-ph/0510409,
  title  = {Scalar mesons and low-mass sigma: Does the $\sigma$ reveal the confinement singularity?},
  author = {V. V. Anisovich},
  journal= {arXiv preprint arXiv:hep-ph/0510409},
  year   = {2008}
}

Comments

27 pages, 13 figure