Search for $ {e}^{+}{e}^{-}\to \phi {\chi }_{c0}$ and $ \phi {\eta }_{c2}(1D)$ at center-of-mass energies from 4.47 to 4.95 GeV

Utilizing a dataset of $ 6.7\text{}\text{}{\mathrm{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 \varphi {\chi }_{c0}$ and $ \varphi {\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 dressed cross sections for $ {e}^{+}{e}^{-}\to \varphi {\chi }_{c0}$, as well as the product of the dressed cross section for $ {e}^{+}{e}^{-}\to \varphi {\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 \varphi {\chi }_{c0}$, denoted as $ {\mathrm{\Gamma }}_{{e}^{+}{e}^{-}}^{Y(4660)}{\mathcal{B}}_{Y(4660)\to \varphi {\chi }_{c0}}$, is determined to be $ <0.35\text{}\text{}\mathrm{eV}$ at the 90% confidence level.