### Abstract

A relativistic description of the structure of heavy alkali-metal atoms and alkali-like ions using S-spinors and L-spinors is developed. The core wave function is defined by a Dirac-Fock calculation using an S-spinor basis. The S-spinor basis is then supplemented with a large set of L-spinors for calculation of the valence wave function in a frozen-core model. The numerical stability of the L-spinor approach is demonstrated by computing the energies and decay rates of several low-lying hydrogen eigenstates, along with the polarizabilities of a Z=60 hydrogenic ion. The approach is then applied to calculate the dynamic polarizabilities of the 5s, 4d, and 5p states of Sr+. The magic wavelengths at which the Stark shifts between different pairs of transitions are 0 are computed. Determination of the magic wavelengths for the 5s→4d32 and 5s→4d52 transitions near 417 nm (near the wavelength for the 5s→5pj transitions) would allow determination of the oscillator strength ratio for the 5s→5p12 and 5s→5p32 transitions.

Original language | English |
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Article number | 062514 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 94 |

Issue number | 6 |

DOIs | |

Publication status | Published - 23 Dec 2016 |

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## Cite this

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*94*(6), [062514]. https://doi.org/10.1103/PhysRevA.94.062514