Interference in the reaction $e^+e^-\toγπ^+π^-$ and the final state interaction

Details Interference in the reaction $e^+e^-\toγπ^+π^-$ and the final state interaction Interference in the reaction $e^+e^-\toγπ^+π^-$ and the final state interaction

1997-06-16

arxiv.org/abs/hep-ph/9706363v1

Phys.Rev. D57 (1998) 1987-1990

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, revtex, 2 ps files of figures

Scientific paper

10.1103/PhysRevD.57.1987

We describe the interference between amplitudes $e^ + e^-\to\rho\to\gamma\pi^+\pi^-$ and $e^ + e^-\to\phi\to\gamma (f_0 + \sigma) \to\gamma\pi^ + \pi^-$, with regard to the phase of the elastic $\pi\pi$ scattering background and mixing of the $f_0$ and $\sigma$ mesons. It is shown that the Fermi-Watson theorem for the final state interaction in the reaction $e^ + e^-\to\rho\to\gamma\pi^ + \pi^-$ is not valid in the case of soft photons, $\omega < 100$ MeV, in the $\phi$ meson region. The interference patterns in the spectrum of the photon energy differential cross-section and in the full cross-section as a function of the beam energy are obtained.

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