Measurement of the $e^+e^-\to\pi^+\pi^-\pi^0$ Cross Section from 0.7 GeV to 3.0 GeV via Initial-State Radiation

Le résumé fourni par la source

The cross section of the process $e^+e^-\to\pi^+\pi^-\pi^0$ is measured with a precision of 1.6% to 25% in the energy range between $0.7$ and 3.0 GeV using the Initial State Radiation method. A data set with an integrated luminosity of $2.93$fb$^{-1}$ taken at the center-of-mass energy of $\sqrt{s}=3.773$GeV with the BESIII detector at the BEPCII collider is used. The product branching fractions for $\omega$, $\phi$, $\omega(1420)$, and $\omega(1650)$ are measured to be $\mathcal{B}(\omega\to e^+e^-) \times \mathcal{B}(\omega \to \pi^+\pi^-\pi^0)=(6.94\pm0.08\pm0.16) \times 10^{-5}$, $\mathcal{B}(\phi\to e^+e^-) \times \mathcal{B}(\phi\to\pi^+\pi^-\pi^0) = (4.20\pm0.08\pm0.19) \times 10^{-5}$, $\mathcal{B}(\omega(1420)\to e^+e^-) \times \mathcal{B}(\omega(1420) \to \pi^+\pi^-\pi^0) = (0.84\pm0.09\pm0.09) \times 10^{-6}$, and $\mathcal{B}(\omega(1650) \to e^+e^) \times \mathcal{B}(\omega(1650)\to \pi^+\pi^-\pi^0) = (1.14\pm0.15\pm0.15)\times10^{-6}$, respectively. The branching fraction $\mathcal{B}(J/\psi\to \pi^+\pi^-\pi^0)$ is measured to be $(2.188 \pm 0.024 \pm 0.024 \pm0.040 (\Gamma_{ee}^{J/\psi}))\%$, where $\Gamma_{ee}^{J/\psi}$ is the dileptonic width of $J/\psi$. The first errors are of statistical, the second and third ones of systematic nature.

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.