Measurement of $e^{+}{e}^{-}\to p{K}^{-}\bar{\mathrm{\Lambda }}+c\mathrm{.}c\mathrm{.}$ cross sections between 4.009 GeV and 4.951 GeV

Using $e^{+}{e}^{-}$ collision datasets corresponding to total integrated luminosity of 21.7 fb${}^{-1}$ collected with the BESIII detector at the BEPCII collider at center-of-mass energies ranging from 4.009 GeV to 4.951 GeV, the energy-dependent cross sections of $e^{+}{e}^{-}\to p{K}^{-}\bar{\mathrm{\Lambda }}+c\mathrm{.}c\mathrm{.}$ are measured for the first time. By fitting these energy-dependent cross sections, we search for the excited $\psi$ states $\psi (4160)$ and $\psi (4415)$, and the vector charmonium-like states $\psi (4230)$, $\psi (4360)$, and $\psi (4660)$. No evidence for these is observed and the upper limits on the branching fractions of these states decaying into $p{K}^{-}\bar{\mathrm{\Lambda }}+c\mathrm{.}c\mathrm{.}$ are set at the 90% confidence level.