Relativistic semiempirical-core-potential calculations of Sr+ using Laguerre and Slater spinors

Jun Jiang, J. Mitroy, Yong Jun Cheng, Michael W J Bromley

    Research output: Contribution to journalArticleResearchpeer-review

    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 languageEnglish
    Article number062514
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume94
    Issue number6
    DOIs
    Publication statusPublished - 23 Dec 2016

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    wavelengths
    wave functions
    numerical stability
    heavy metals
    oscillator strengths
    alkali metals
    decay rates
    alkalies
    ions
    eigenvectors
    valence
    shift
    hydrogen
    atoms
    energy

    Cite this

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    title = "Relativistic semiempirical-core-potential calculations of Sr+ using Laguerre and Slater spinors",
    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.",
    author = "Jun Jiang and J. Mitroy and Cheng, {Yong Jun} and Bromley, {Michael W J}",
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    Relativistic semiempirical-core-potential calculations of Sr+ using Laguerre and Slater spinors. / Jiang, Jun; Mitroy, J.; Cheng, Yong Jun; Bromley, Michael W J.

    In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 94, No. 6, 062514, 23.12.2016.

    Research output: Contribution to journalArticleResearchpeer-review

    TY - JOUR

    T1 - Relativistic semiempirical-core-potential calculations of Sr+ using Laguerre and Slater spinors

    AU - Jiang, Jun

    AU - Mitroy, J.

    AU - Cheng, Yong Jun

    AU - Bromley, Michael W J

    PY - 2016/12/23

    Y1 - 2016/12/23

    N2 - 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.

    AB - 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.

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