Perturbed coupled-cluster theory to calculate dipole polarizabilities of closed-shell systems: Application to Ar, Kr, Xe, and Rn

We use perturbed relativistic coupled-cluster (PRCC) theory to calculate the\nelectric dipole polarizability of noble gas atoms Ar, Kr, Xe and Rn. We also\nprovide a detailed description of the nonlinear terms in the PRCC theory and\nconsider the Dirac-Coulomb-Breit atomic Hamiltonian for the calculations. We\nfind that the largest contribution from Breit interaction to the electric\ndipole polarizability is 0.1%, in the case of Rn. As we go from Ar to Rn, based\non the pattern in the random phase approximation effects, the contraction of\nthe outermost $p_{1/2}$ due to relativistic corrections is discernible without\nany ambiguity.\n