Scalar mesons in eta' -> eta pi0 pi0 decay

Details Scalar mesons in eta' -> eta pi0 pi0 decay Scalar mesons in eta' -> eta pi0 pi0 decay

2009-02-19

arxiv.org/abs/0902.3320v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 4 figures. The text is extended. Errors in figures are corrected, some refreces added

Scientific paper

The decay $\eta'\to\eta\pi^{0}\pi^{0}$ is studied in the framework of isobar model. It is shown, that good agreement with the experiment is achieved if $a_0$- and $\sigma$-meson contributions are taken into account. The contribution of $a_0$-meson is dominant, but $\sigma$-meson is necessary to reproduce the form of experimental Dalitz plot. Instead of usual Breit-Wigner form of $\sigma$-meson propagator we use parametrization of $\pi\pi$-amplitude, that satisfies analiticity, crossing, unitarity and chirality constraints. This amplitude has a pole in complex plane, that corresponds to $\sigma$-meson and describe experimental data on $\pi\pi$-scattering in $K_{e4}$ decay.

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