$σ(600)$ and background in $ππ$ scattering

Details $σ(600)$ and background in $ππ$ scattering $σ(600)$ and background in $ππ$ scattering

2003-07-04

arxiv.org/abs/hep-ph/0307063v2

Eur.Phys.J.A20:475-481,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX2e, 11 pages with 7 figures;final version accepted in EPJ A

Scientific paper

10.1140/epja/i2003-10170-7

We suggest a simple analytical description of the S-wave isoscalar $\pi\pi$ amplitude, which corresponds to a joint dressing of the bare resonance and background contributions. The amplitude describes well the experimental data on the $\delta^0_0$ phase shift in the energy region below 900 MeV and has two poles in the $Re s > 0$ half-plane. Besides the well-known pole of $\sigma(600)$-meson with $Re s \sim m_{\pi}^2$, there exists a more distant pole with $Re s \sim 0.6 GeV^2$. Our analysis indicates for the dynamical origin of the $\sigma(600)$ pole, while the second pole should be associated with lowest $q\bar{q}$ state.

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