Benchmark calculations for small rare gas clusters

We present detailed calculations of dimers and trimers of He and other rare gas atoms to benchmark a non-relativistic three-body code currently in development for public distribution. For these systems, uncertainties in the fundamental constants can substantially exceed the errors of numerical calculations. For example, the near-threshold bound state of the He$_2$ dimer is quite sensitive to small variations of the nuclear mass. Our benchmark calculations include specific estimates of the numerical accuracy of the calculations, and also explore sensitivity to fundamental constants and their uncertainties. We provide detailed analysis of both numerical and physical uncertainties for the observable characteristics of bound states of small He and other rare gas two and three-atom clusters based on widely used ab initio and model potentials.