Lightest Scalar in the SUL(2)×SUR(2) Linear σ Model

N. N. Achasov and G. N. Shestakov
Phys. Rev. Lett. 99, 072001 – Published 17 August 2007

Abstract

We consider the lightest scalar meson in the frame of the SUL(2)×SUR(2) linear σ model, keeping in mind that this model could be the low energy realization of two-flavor QCD. We show that the σ field is described by its four-quark component at least in the σ resonance energy (virtuality) region and the σγγ decay is the four-quark transition. We emphasize that residues of the σ pole in the ππππ and γγππ amplitudes do not give an idea about the σ meson nature, and the progress in studying the σ meson production mechanisms in different processes could essentially further us in understanding its nature.

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  • Received 19 April 2007

DOI:https://doi.org/10.1103/PhysRevLett.99.072001

©2007 American Physical Society

Authors & Affiliations

N. N. Achasov and G. N. Shestakov

  • Laboratory of Theoretical Physics, Sobolev Institute for Mathematics, Novosibirsk, 630090, Russia

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Vol. 99, Iss. 7 — 17 August 2007

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