$\omega \to 3\pi$ and $\omega\pi^{0}$ transition form factor revisited

M. Albaladejo; I. Danilkin; S. Gonzalez-Solis; D. Winney; C. Fernandez-Ramirez; A. N. Hiller Blin; V. Mathieu; M. Mikhasenko; A. Pilloni; A. Szczepaniak

arXiv · 2006.01058

$\omega \to 3\pi$ and $\omega\pi^{0}$ transition form factor revisited

M. Albaladejo·I. Danilkin·S. Gonzalez-Solis·D. Winney·C. Fernandez-Ramirez·A. N. Hiller Blin·V. Mathieu·M. Mikhasenko·A. Pilloni·A. Szczepaniak

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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.

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M. Albaladejo, I. Danilkin, S. Gonzalez-Solis, D. Winney, C. Fernandez-Ramirez, A. N. Hiller Blin, V. Mathieu, M. Mikhasenko, A. Pilloni, A. Szczepaniak. 2020-06-01. $\omega \to 3\pi$ and $\omega\pi^{0}$ transition form factor revisited. https://arxiv.org/abs/2006.01058

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