1
From a vector dominance fit to the Born cross section between 1.05 and 2.0 GeV with ${{\mathit \rho}{(770)}}$, ${{\mathit \rho}{(1570)}}$, ${{\mathit \rho}{(1700)}}$, ${{\mathit \rho}{(2150)}}$. The fit also uses SND data from the VEPP-2M collider below 1.02 GeV and from LEES 2017H and ABLIKIM 2021A above 1.5GeV.
2
From a phenomenological model based on vector meson dominance with the interfering ${{\mathit \rho}{(1450)}}$ and ${{\mathit \rho}{(1700)}}$ and their widths fixed at 400 and 250 MeV, respectively. Systematic uncertainty not estimated.
3
Taking into account both ${{\mathit \rho}{(1450)}}$ and ${{\mathit \rho}{(1700)}}$ contributions. Using the data of ACHASOV 2000I on ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \pi}^{0}}$ and of EDWARDS 2000A on ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \pi}^{-}}{{\mathit \nu}_{{{\tau}}}}$. ${{\mathit \rho}{(1450)}}$ mass and width fixed at 1400 MeV and 500 MeV respectively.
4
Taking into account the ${{\mathit \rho}{(1700)}}$ contribution only. Using the data of ACHASOV 2000I on ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \pi}^{0}}$ and of EDWARDS 2000A on ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \pi}^{-}}{{\mathit \nu}_{{{\tau}}}}$.
References:
ACHASOV
2023A
PR D108 092012
Study of the process in the energy range 1.05?2.00 GeV with SND
ACHASOV
2013
PR D88 054013
Study of ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \pi}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \gamma}}$ in the Energy Range $1.05 - 2.00$ GeV with the SND Detector
ACHASOV
2000I
PL B486 29
The Process ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \pi}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \gamma}}$ up to 1.4 GeV
ACHASOV
1997
PR D55 2663
${{\mathit \rho}^{\,'}}$'s in Analyzing ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Annihilation, MARK III, LASS and ARGUS Data