Search for the pentaquark state in $\psi \mathrm{}\left(2S\right)\mathrm{}$ and $J/\psi$ decays to $K_S^0{\mathrm{pK}}^{-}\mathrm{n̄}$ and $K_S^0\overline{p}{K}^{+}n$

Results are presented on $\psi \mathrm{}\left(2S\right)\mathrm{}$ and $J/\psi$ hadronic decays to $K_S^0{\mathrm{pK}}^{-}\mathrm{n̄}$ and $K_S^0\overline{p}{K}^{+}n$ final states from data samples of 14 million $\psi \mathrm{}\left(2S\right)\mathrm{}$ and 58 million $J/\psi$ events accumulated at the BES II detector. No $\Theta \mathrm{}\left(1540\right)\mathrm{}$ signal, the pentaquark candidate, is observed, and upper limits are set for $\mathcal{B}\left(\psi \mathrm{}\right(2S)\mathrm{}\to \Theta \overline{\Theta }\to K_S^0{\mathrm{pK}}^{-}\mathrm{n̄}{+K}_S^0\overline{p}{K}^{+}n)<0.84\mathrm{}\times {10}^{-5}$ and $\mathcal{B}(J/\overrightarrow{\psi }\Theta \overline{\Theta }\to K_S^0{\mathrm{pK}}^{-}\mathrm{n̄}{+K}_S^0\overline{p}{K}^{+}n)<\mathrm{}1.1\mathrm{}\times {10}^{-5}$ at the 90% confidence level. For single $\Theta \mathrm{}\left(1540\right)\mathrm{}$ production, the upper limits determined by our analysis are also on the order of ${10}^{-5}$ in both $\psi \mathrm{}\left(2S\right)\mathrm{}$ and $J/\psi$ decays.