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Richardson-Gaudin (RG) states are employed as a variational wavefunctionansatz for strongly correlated isomers of H$_4$ and H$_{10}$. In each case asingle RG state describes the seniority-zero sector quite well. Simple naturalorbital functionals offer a cheap and reasonable approximation of theoutstanding weak correlation in the seniority-zero sector, while systematicimprovement is achieved by performing a configuration interaction (CI) in termsof RG states. Other pair theories (e.g. generalized valence bond andpair-coupled-cluster doubles) can provide a good description of many of thegeometries considered, but, at short distances, the wavefunctions for the 2Dand 3D structures of H$_{10}$ take the form of an RG state that cannot bedescribed by these other theories.

Single reference treatment of strongly correlated H$_4$ and H$_{10}$ isomers with Richardson-Gaudin states