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Contributions from high-order (non-perturbative triple and quadruple) clusteramplitudes to the dissociation energies, equilibrium distances, and vibrationalconstants for the ground states of van der Waals dimers Hg$_2$ and Cn$_2$ areevaluated. The incorporation of these contributions into the results oflarge-scale CCSD(T) calculations leads to non-negligible corrections of thecomputed molecular constants for Hg$_2$ (6% for the dissociation energy), andenables one to attain perfect agreement with the experimental values.

Correlations beyond CCSD(T) for accurate study of Hg$_2$ and Cp$_2$