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Using a data sample collected with the BESIII detector operating at theBEPCII storage ring at a center-of-mass energy of $\sqrt{s}=4.600$ GeV, wesearch for the production of $e^{+}e^{-} \to \phi\chi_{c0,1,2}$ and thecharmonium-like state $Y(4140)$ in the radiative transition $e^{+}e^{-} \to\gamma Y(4140)$ with $Y(4140)$ subsequently decaying into $\phi J/\psi$. Theprocesses $e^{+}e^{-} \to \phi\chi_{c1}$ and $\phi\chi_{c2}$ are observed forthe first time, each with a statistical significance of more than 10\sigma, andthe Born cross sections are measured to be $(4.2^{+1.7}_{-1.0}\pm 0.3)$ pb and$(6.7^{+3.4}_{-1.7}\pm 0.5)$ pb, respectively, where the first uncertaintiesare statistical and the second systematic. No significant signals are observedfor $e^{+}e^{-} \to \phi\chi_{c0}$ and $e^{+}e^{-} \to \gamma Y(4140)$ andupper limits on the Born cross sections at $90\%$ confidence level are providedat $\sqrt{s}=4.600$ GeV.

Observation of $e^{+}e^{-} \to \phi\chi_{c1}$ and $\phi\chi_{c2}$ at $\sqrt{s}$=4.600 GeV