Partial decay widths of $\varphi (2170)$ to kaonic resonances

Abstract

In this work we study the strong decays of $\varphi (2170)$ to final states involving the kaonic resonances $K(1460)$, $K_1(1270)$ and $K_1(1400)$, on which experimental data have recently been extracted by the BESIII Collaboration. The formalism developed here is based on interpreting $\varphi (2170)$ and $K(1460)$ as states arising from three-hadron dynamics, which is inspired by our earlier works. For $K_1(1270)$ and $K_1(1400)$ we investigate different descriptions, such as a mixture of states belonging to the nonet of axial resonances, or the former one as a state originating from the vector-pseudoscalar dynamics. The ratios among the partial widths of $K^{+}(1460)K^{-}$, $K_1^{+}(1400)K^{-}$ and $K_1^{+}(1270)K^{-}$ obtained are compatible with the experimental results, reinforcing the three-body nature of $\varphi (2170)$. Within our formalism, we can also explain the suppressed decay of $\varphi (2170)$ to $K^{\ast }(892){\bar{K}}^{\ast }(892)$, as found by the BESIII Collaboration. Furthermore, our results can be useful in clarifying the properties of $K(1460)$, $K_1(1270)$ and $K_1(1400)$ when higher statistics data would be available.