Measurement of Born cross sections of $e^{+}{e}^{-}\to p{K}^{-}{\bar{\mathrm{\Sigma }}}^0$ + c.c. at $\sqrt{s}$ = 3.5-4.9 GeV and partial wave analysis at $\sqrt{s}$ = 3.773 GeV

Using $e^{+}{e}^{-}$ collision data collected by the BESIII detector at BEPCII corresponding to a total integrated luminosity of 44.6 $\mathrm{f}{\mathrm{b}}^{-1}$, we present the first measurement of the Born cross sections for the process $e^{+}{e}^{-}\to p{K}^{-}{\bar{\mathrm{\Sigma }}}^0$ + c.c. at fifty-six center-of-mass energies between 3.51 and 4.95~GeV. By fitting the dressed cross sections of $e^{+}{e}^{-}\to p{K}^{-}{\bar{\mathrm{\Sigma }}}^0$ + c.c. with the assumption of a power-law function plus a charmonium(-like) resonance, i.e., $\psi (3770)$, $\psi (4040)$, $\psi (4160)$, $Y(4230)$, $Y(4360)$, $\psi (4415)$, $\psi (4500)$, $Y(4660)$ or $\psi (4710)$, no significant charmonium(-like) state decaying into $p{K}^{-}{\bar{\mathrm{\Sigma }}}^0$ + c.c. is observed. The product of branching fractions and electronic partial widths including their upper limits at the 90% confidence level are provided for each decay. In addition, a partial wave analysis of the process $e^{+}{e}^{-}\to p{K}^{-}{\bar{\mathrm{\Sigma }}}^0$ + c.c. at $\sqrt{s}$ = 3.773 GeV is performed to investigate $N^{\ast }$, ${\mathrm{\Lambda }}^{\ast }$ and ${\mathrm{\Sigma }}^{\ast }$ resonances in the $K^{-}{\bar{\mathrm{\Sigma }}}^0$ and $p{K}^{-}$ invariant mass spectra. Significant contributions are found from the $\mathrm{\Lambda }(1520)$, $\mathrm{\Sigma }(1670)$, $\mathrm{\Sigma }(1915)$, $N(1900)$, $N(2300)$ and $N(2570)$. The masses, widths and production fractions for each component are determined.