Utilizing a data set of $6.7$ fb$^{ -1}$ from electron-positron collisions recorded by the BESIII detector at the BEPCII storage ring, a search is conducted for the processes $e^{ +}e^{ -} \to \phi \chi_{ c0}$ and $\phi\eta_{ c2}(1D)$ across center-of-mass energies from 4.47 to 4.95 GeV. In the absence of any significant signals, upper limits are set. These include limits on the Born cross sections for $e^{ +}e^{ -} \to \phi \chi_{ c0}$, as well as the product of the Born cross section for $e^{ +}e^{ -} \to \phi\eta_{ c2}(1D)$ and a sum of five branching fractions. Furthermore, the product of the electronic width of $Y(4660)$ and the branching fraction of the $Y(4660) \to \phi\chi_{ c0}$, denoted as $\Gamma^{ Y(4660)}_{ e^{ +}e^{ -}} \mathcal{ B}_{ Y(4660) \to \phi\chi_{ c0}}$, is determined to be $< 0.40$ eV at the 90\% confidence level.
Categories: hep-ex