Cross section measurements of $e^{+}{e}^{-}\to \Phi K^{+}{K}^{-}$ and $e^{+}{e}^{-}\to \Phi K_S^0{K}_S^0$ at center-of-mass energies between 3.7730 GeV and 4.7008 GeV

Abstract

Based on 22.7 fb${}^{-1}$ of $e^{+}{e}^{-}$ annihilation data collected at 33 different center-of-mass energies between 3.7730 GeV and 4.7008 GeV with the BESIII detector at the BEPCII collider, Born cross sections of the two processes $e^{+}{e}^{-}\to \varphi K^{+}{K}^{-}$ and $e^{+}{e}^{-}\to \varphi K_S^0{K}_S^0$ are measured for the first time. No indication of resonant production through an intermediate vector state $V$ is observed, and the upper limits on the product of the electronic width ${\Gamma }_{e^{+}{e}^{-}}$ and the branching fraction $Br(V\to \varphi K\bar{K})$ of the processes $e^{+}{e}^{-}\to V\to \varphi K^{+}{K}^{-}$ and $e^{+}{e}^{-}\to V\to \varphi K_S^0{K}_S^0$ at the $90\%$ confidence level are obtained for a large parameter space in resonance masses and widths. For the current world average mass and width of the $\psi (4230)$ of $m=4.2187$ GeV$/c^2$ and $\Gamma =44$ MeV, we set upper limits on the $\varphi K^{+}{K}^{-}$ and $\varphi K_S^0{K}_S^0$ final states of 1.75 eV and 0.47 eV at the $90\%$ confidence level, respectively.

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