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arxiv: 1409.7708 · v2 · submitted 2014-09-26 · ✦ hep-ph

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Dispersive Analysis of ω/φ rightarrow 3π,\,π γ^*

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classification ✦ hep-ph
keywords omegarightarrowdispersivegammaaccountsamplitudeanalysisanalytic
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The decays $\omega/\phi \rightarrow 3\pi$ are considered in the dispersive framework that is based on the isobar decomposition and sub-energy unitarity. The inelastic contributions are parametrized by the power series in a suitably chosen conformal variable that properly accounts for the analytic properties of the amplitude. The Dalitz plot distributions and integrated decay widths are presented. Our results indicate that the final state interactions may be sizable. As a further application of the formalism we also compute the electromagnetic transition form factors of $\omega/\phi \rightarrow \pi^0\gamma^*$.

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  1. Dispersive analysis of the $J/\psi\to\pi^0 \gamma^\ast$ transition form factor with $\rho$-$\omega$ mixing effects

    hep-ph 2025-11 unverdicted novelty 7.0

    Dispersive analysis with ρ-ω mixing produces a two-parameter fit describing BESIII data on the J/ψ→π⁰γ* form factor from 0 to 2.8 GeV and extracts a (62 ± 21)° relative phase between strong and electromagnetic modes.