Electric quadrupole moments of metastable states of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math>, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi mathvariant="normal">Ba</mml:mi><m

Jiang, Dansha; Arora, Bindiya; Safronova, M. S.

doi:10.1103/physreva.78.022514

Cited by 35 publications

(44 citation statements)

References 43 publications

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“…We have demonstrated in Ref. [66] that correcting correlation potential staring from either linearized single-double coupled-cluster (LCCSD) or CCSD approximation leads to the same results within the expected accuracy of the calculations. Our ab initio inclusion of the valence triple excitation (SDpT) is more complete than that of [22] since we included triple corrections to both δE v and ρ mv equations while only δE v was corrected in [22].…”

Section: Electric-dipole Matrix Elements Oscillator Strengths mentioning

confidence: 79%

Blackbody radiation shift, multipole polarizabilities, oscillator strengths, lifetimes, hyperfine constants, and excitation energies in Ca+

Safronova

2011

Phys. Rev. A

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A systematic study of Ca + atomic properties is carried out using high-precision relativistic allorder method where all single, double, and partial triple excitations of the Dirac-Fock wave functions are included to all orders of perturbation theory. Reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for the levels up to n = 7. Recommended values and estimates of their uncertainties are provided for a large number of electric-dipole transitions. Electric-dipole scalar polarizabilities for the 5s, 6s, 7s, 8s, 4pj , 5pj, 3dj , and 4dj states and tensor polarizabilities for the 4p 3/2 , 5p 3/2 , 3dj , and 4dj states in Ca + are calculated. Methods are developed to accurately treat the contributions from highly-excited states, resulting in significant (factor of 3) improvement in accuracy of the 3d 5/2 static polarizability value, 31.8(3) a + is calculated to be 0.381(4) Hz at room temperature, T = 300 K. Electric-quadrupole 4s−nd and electric-octupole 4s−nf matrix elements are calculated to obtain the ground state multipole E2 and E3 static polarizabilities. Excitation energies of the ns, np, nd, nf , and ng states with n ≤ 7 in are evaluated and compared with experiment. Recommended values are provided for the 7p 1/2 , 7p 3/2 , 8p 1/2 , and 8p 3/2 removal energies for which experimental measurements are not available. The hyperfine constants A are determined for the low-lying levels up to n = 7. The quadratic Stark effect on hyperfine structure levels of 43 Ca + ground state is investigated. These calculations provide recommended values critically evaluated for their accuracy for a number of Ca + atomic properties for use in planning and analysis of various experiments as well as theoretical modeling.

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Section: Electric-dipole Matrix Elements Oscillator Strengths mentioning

confidence: 79%

Blackbody radiation shift, multipole polarizabilities, oscillator strengths, lifetimes, hyperfine constants, and excitation energies in Ca+

Safronova

2011

Phys. Rev. A

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“…There have been a number of theoretical studies of the properties of the low-lying Ca + ion [23][24][25][26][27][28][29] by 3 different research groups. One of these groups [24] used a non-relativistic approach while the other two groups used explicitly relativistic formulations [26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Dynamic polarizabilities for the low-lying states of Ca+

et al. 2013

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The dynamic polarizabilities of the 4s, 3d and 4p states of Ca + , are calculated using a relativistic structure model. The wavelengths at which the Stark shifts between different pairs of transitions are zero are computed. Experimental determination of the magic wavelengths can be used to estimate the ratio of the f 3d J →4p J ′ and f4s 1/2 →4p J ′ oscillator strengths. This could prove valuable in developing better atomic structure models and in particular lead to improved values of the polarizabilities needed in the evaluation of the blackbody radiation shift of the Ca + ion.

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“…(4) is dominant for a large fraction of the transitions considered in this work. We can evaluate missing corrections to this term by correcting the valence single-excitation coefficients ρ mv via the scaling procedure [53]. These excitation coefficients are closely related to the correlation energy δE v .…”

Section: Electric-dipole Matrix Elements Oscillator Strengths mentioning

confidence: 99%

“…Therefore, the part of the omitted correlation correction can be estimated by adjusting the single-excitation coefficients ρ mv to the experimentally known value of the valence correlation energy, and then re-calculating the matrix elements using Eq. (2) with the modified coefficients [53].…”

Section: Electric-dipole Matrix Elements Oscillator Strengths mentioning

confidence: 99%

Relativistic many-body calculation of energies, oscillator strengths, transition rates, and lifetimes of Sc III ion

Safronova

2012

Phys. Rev. A

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A systematic study of Sc III atomic properties is carried out using high-precision relativistic all-order method where all single, double, and partial triple excitations of the Dirac-Fock wave functions are included to all orders of perturbation theory. Reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for the ns, npj, ndj , nfj , and ngj levels with n ≤ 7. Recommended values and estimates of their uncertainties are provided for a large number of electric-dipole transitions. Electric-quadrupole and magnetic-dipole matrix elements are evaluated to determine lifetimes of the 3d 5/2 and 4s metastable levels. These calculations provide recommended values critically evaluated for their accuracy for a number of Sc III atomic properties for use in theoretical modeling as well as planning and analysis of various experiments. We hope that the present study will stimulate further exploration of Sc III for various applications owing to its interesting structure of different low-lying metastable levels.

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Electric quadrupole moments of metastable states ofCa+,Sr+, andBa

Cited by 35 publications

References 43 publications

Blackbody radiation shift, multipole polarizabilities, oscillator strengths, lifetimes, hyperfine constants, and excitation energies in Ca+

Blackbody radiation shift, multipole polarizabilities, oscillator strengths, lifetimes, hyperfine constants, and excitation energies in Ca+

Dynamic polarizabilities for the low-lying states of Ca+

Relativistic many-body calculation of energies, oscillator strengths, transition rates, and lifetimes of Sc III ion

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