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

Atomic Physics 2015-05-20 v1 Chemical Physics Computational Physics

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 static dipole polarizabilities of the ground and first excited states of Al+ have been determined to precisely estimate the uncertainty associated with the BBR shift of its clock frequency measurement. The obtained relative BBR shift is -3.66+-0.44 for the 3s^2 ^1S_0^0 --> 3s3p ^3P_0^0 transition in Al+ in contrast to the value obtained in the latest clock frequency measurement, -9+-3 [Phys. Rev. Lett. 104, 070802 (2010)]. The method developed in the present work can be employed to study a variety of subtle effects such as fundamental symmetry violations in atoms.

Keywords

Cite

@article{arxiv.1010.1231,
  title  = {Relativistic general-order coupled-cluster method for high-precision calculations: Application to Al+ atomic clock},
  author = {Mihaly Kallay and B. K. Sahoo and H. S. Nataraj and B. P. Das and Lucas Visscher},
  journal= {arXiv preprint arXiv:1010.1231},
  year   = {2015}
}

Comments

4 pages, 3 tables, submitted

R2 v1 2026-06-21T16:24:46.668Z