S-wave γγ\to ππand f_0(980)\to ππ

Physics – High Energy Physics – High Energy Physics - Phenomenology

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6 pages, 1 figure. Prepared for the Workshop on Scalar Mesons and Related Topics, Lisbon, 11-16 Feburary 2008

Scientific paper

10.1063/1.2973490

We report on a dispersion relation for the \gamma\gamma\to (\pi\pi)_I S-wave in isospin I emphasizing the low energy region. The f_0(980) signal that emerges in \gamma\gamma\to \pi\pi is also discussed. Our results could be used to distinguish between different \pi\pi isoscalar S-wave parameterizations. We also calculate the width of the \sigma resonance to \gamma\gamma and obtain the value \Gamma(\sigma\to\gamma\gamma)=(1.68\pm 0.15) KeV. Finally, we elaborate on the size of the f_0(980) coupling to \pi\pi and show that its smallness compared to the K\bar{K} one is not related to the OZI rule.

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