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.

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Cited by in corpus (6)

• Study of the process $e^{+}{e}^{-}\to \varphi \eta$ at center-of-mass energies between 2.00 and 3.08 GeV
• Electromagnetic form factors of $\Lambda$ hyperon in the vector meson dominance model and a possible explanation of the near-threshold enhancement of the $e^{+}{e}^{-}\to \Lambda \bar{\Lambda }$ reaction
• Deciphering the light vector meson contribution to the cross sections of $e^{+}{e}^{-}$ annihilations into the open-strange channels through a combined analysis
• The charge and mass symmetry breaking in the $KK\bar{K}$ system
• Strangeonium spectrum with the screening effects and interpretation of $h_1(1911)$ and $X(2300)$ observed by BESIII
• $D^{\ast }\pi$ interaction from the lineshape of $D_1(2420)$ in $B$-decays