Fock-space relativistic coupled-cluster calculation of a hyperfine-induced 1S0 → 3P0o clock transition in Al+

We have developed an all-particle Fock-space relativistic coupled-cluster method to calculate the properties of two-valence atoms and ions. Using the method we compute the properties associated with a hyperfine-induced S-1(0) -> P-3(0)o clock transition in Al+. Our result of the P-3(0)o metastable-state lifetime, 20.20 +/- 0.91 s, is in excellent agreement with the experimental value, 20.60 +/- 1.4 s [T. Rosenband et al., Phys. Rev. Lett. 98, 220801 (2007)]. Our studies show that the contributions from the triple excitations, and the corrections from the Breit interaction and QED effects, are essential to obtain accurate clock properties in Al+.

Automated summary

A new all-particle Fock-space relativistic coupled-cluster method was developed and successfully applied to calculate clock properties in Al+, yielding results in excellent agreement with experimental values, demonstrating the accuracy and effectiveness of the method.