Relativistic general-order coupled-cluster method for high-precision calculations: Application to the Al+ atomic clock

Abstract

We report the implementation of a general-order relativistic coupled-cluster method for performing high-precision calculations of atomic and molecular properties. As a first application, the black-body radiation shift of the Al+ clock has been estimated precisely. The computed shift relative to the frequency of the 3s2 1S0e→3s3p 3P0o clock transition given by (-3.66±0.60)×10-18 calls for an improvement over the recent measurement with a reported result of (-9±3)×10-18 [Phys. Rev. Lett. 104, 070802 (2010)].