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$\omega \to 3\pi$ and $\omega\pi^{0}$ transition form factor revisited
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abstract
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.
Forward citations
Cited by 3 Pith papers
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Production Effects and Final-state Interactions in $\pi_1 \to 3\pi$
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.
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$\phi \to 3\pi$ and $\phi\pi^{0}$ transition form factor from Khuri-Treiman equations
A once-subtracted Khuri-Treiman analysis describes KLOE phi to 3pi and phi to pi0 gamma* data simultaneously, with a fitted subtraction constant near the sum-rule value.
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Amplitude Analysis of $\omega\pi^0$ Photoproduction at GlueX
Preliminary GlueX analysis of gamma p -> omega pi0 p reports a dominant b1(1235) amplitude and phase motion consistent with interference from an excited 1-- vector resonance.
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