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ω to 3π and ωπ⁰ transition form factor revisited

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arxiv 2006.01058 v1 pith:RK3MHUKD submitted 2020-06-01 hep-ph hep-ex

ω to 3π and ωπ⁰ transition form factor revisited

M.Albaladejo , I. Danilkin , S. Gonzalez-Solis , D. Winney , C.Fernandez-Ramirez , A. N. Hiller Blin , V. Mathieu , M. Mikhasenko
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A. Pilloni A. Szczepaniak
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keywords omegaamplitudefactorformtransitiondeterminationexperimentalobtained
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In light of recent experimental results, we revisit the dispersive analysis of the $\omega \to 3\pi$ decay amplitude and of the $\omega\pi^0$ transition form factor. Within the framework of the Khuri-Treiman equations, we show that the $\omega \to 3\pi$ Dalitz-plot parameters obtained with a once-subtracted amplitude are in agreement with the latest experimental determination by BESIII. Furthermore, we show that at low energies the $\omega\pi^0$ transition form factor obtained from our determination of the $\omega \to 3\pi$ amplitude is consistent with the data from MAMI and NA60 experiments.

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Cited by 3 Pith papers

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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.

  2. Production Effects and Final-state Interactions in $\pi_1 \to 3\pi$

    hep-ph 2026-07 conditional novelty 6.0

    A Khuri-Treiman model with contact and one-pion-exchange production terms fits COMPASS's π1→3π freed-isobar data and produces a smooth 1.6 GeV structure in the extracted production strengths.

  3. Dispersive analysis of the $\boldsymbol{J/\psi \to \gamma \pi^0 \pi^0}$ process

    hep-ph 2026-06 unverdicted novelty 5.0

    The analysis selects the negative E1 phase solution for 0++-2++ amplitudes in J/ψ → γπ⁰π⁰ as consistent with Omnès phases from f0 resonances without large extra phases, and normalizes amplitudes via the branching frac...