$ϕ(2170)$ decaying to $ϕππ$ and $ϕK\bar{K}$

Yun-Hua Chen

doi:10.3390/universe9070325

paper

$ϕ (2170)$ decaying to $ϕ π π$ and $ϕ K K ˉ$

arXiv:2307.04403 · doi:10.3390/universe9070325

Abstract

Within the framework of dispersion theory, we study the the processes $e^{+} e^{-} \to ϕ (2170) \to ϕ π π (K K ˉ)$ . The strong pion-pion final-state interactions, especially the $K K ˉ$ coupled channel in the $S$ -wave, are taken into account in a model-independent way using the Omnès function solution. Through fitting the experimental data of the $π π$ and $ϕ π$ invariant mass distributions of the $e^{+} e^{-} \to ϕ (2170) \to ϕ π^{+} π^{-}$ process, the low-energy constants in the chiral Lagrangian are determined. The theoretical prediction for the cross sections ratio $σ (e^{+} e^{-} \to ϕ (2170) \to ϕ K^{+} K^{-}) / σ (e^{+} e^{-} \to ϕ (2170) \to ϕ π^{+} π^{-})$ is given, which could be useful for selecting the physical solution when the fit to the $e^{+} e^{-} \to ϕ K^{+} K^{-}$ cross section distribution is available in the future. Our results suggest that above the kinematical threshold of $ϕ K K ˉ$ , the mechanism $e^{+} e^{-} \to ϕ K^{+} K^{-}$ with the kaons rescattering to a pion pair plays an important role in the $e^{+} e^{-} \to ϕ π^{+} π^{-}$ transition.

arXiv comment14 pages, 3 figures. arXiv admin note: text overlap with arXiv:1902.10957, arXiv:2104.01752

ϕ(2170) decaying to ϕππ and ϕKKˉ

Abstract

References in corpus (39)

$ϕ (2170)$ decaying to $ϕ π π$ and $ϕ K K ˉ$