Lightest scalar in the SU_L(2)*SU_R(2) linear σmodel

Details Lightest scalar in the SU_L(2)*SU_R(2) linear σmodel Lightest scalar in the SU_L(2)*SU_R(2) linear σmodel

2007-04-18

arxiv.org/abs/0704.2368v2

Phys.Rev.Lett.99:072001,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 3 figures, English improved, PACS numbers changed, two Refs. added, E-mail addresses removed and Ref. [1] shortened

Scientific paper

10.1103/PhysRevLett.99.072001

We consider the lightest scalar meson in the frame of the $SU_L(2)\times SU_R(2)$ linear $\sigma$ model, keeping in mind that this model could be the low energy realization of the two-flavour QCD. We show that the $\sigma$ field is described by its four-quark component at least in the $\sigma$ resonance energy (virtuality) region and the $\sigma\to\gamma\gamma$ decay is the four quark transition. We emphasize that residues of the $\sigma$ pole in the $\pi\pi\to\pi\pi$ and $\gamma\gamma\to\pi\pi$ amplitudes do not give an idea about the $\sigma$ meson nature, and the progress in studying the $\sigma$ meson production mechanisms in different processes could essentially further us in understanding its nature.

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