Precision Method for Hyperfine-Structure Studies in Low-Abundance Isotopes: The Quadrupole Moment of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>43</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>

Grundevik, P.; Gustavsson, Mattias; Lindgren, Ingvar; Olsson, Gunnar; Robertsson, L.; Rosén, Arne; Svanberg, Sune

doi:10.1103/physrevlett.42.1528

Cited by 42 publications

(16 citation statements)

References 9 publications

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“…The lowest order spin-spin interaction discussed in [9J reduces this value to 7/]/6=-0.0056. Assuming the spin-orbit parameters to have the same value leads to 7/1/6=-0.0049 used by Aydin et al [1][2][3][4][5]. We use here the mean value 7/1/6=-0.0056 (7).…”

Section: The 4s 3d Configurationmentioning

confidence: 95%

“…It is difficult to estimate the relativistic effects. The calculations on the Ca + 3d state [1][2][3][4][5][6] showed very different contributions to the 3d expectation value, for which the relativistic effects are quite small, and to the core-polarisation effects. No estimation of the relativistic effects has therefore been done.…”

Section: The 4s 3d Configurationmentioning

confidence: 99%

“…Only radio-frequency measurements on metastable states seem to be accurate enough for evaluating reliable values of such small B-factors. Such measurements have been performed in the 4s4p configuration, by Grundevik et al on the 3P 2 state [3] and by Arnold et al on the 3P 1 state [4]. The metastable 4s 3d 1D 2 state has been studied by Aydin et al [5].…”

Section: Introductionmentioning

confidence: 97%

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Ab-initio calculations of pair-correlation effects on the hyperfine structure of the 4s 4p and 4s 3d configurations of Ca

Salomonson

1984

Z Physik A

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The hyperfine structure of the 4s4p and 4s 3d configurations of Ca has been evaluated using many-body perturbation theory. Single excitations and pair-correlation effects have been included by solving coupled one-particle and two-particle differential equations numerically. The correlation between the valence electrons has been treated selfconsistently by solving these equations iteratively for the valence pair. Core-polarisation effects have been evaluated by hyperfine-induced single-particle functions. From the calculated and experimental results of the two configurations, Q---49(5)mb has been evaluated for the nuclear quadrupole moment of 43Ca.

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Section: The 4s 3d Configurationmentioning

confidence: 95%

Section: The 4s 3d Configurationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

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Ab-initio calculations of pair-correlation effects on the hyperfine structure of the 4s 4p and 4s 3d configurations of Ca

Salomonson

1984

Z Physik A

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“…With the LS-dependent hyperfine parameters deduced (Table 3) There is a smatl error in the published value of the b-factor [4], which has been corrected here (b~ 13 MHz), the off-diagonal hyperfine matrix elements within the 4s4p configuration have been calculated and used to adjust the experimental hyperfine levels (second-order correction). In Fig.…”

Section: Second-order Correctionsmentioning

confidence: 99%

“…Accurate measurements of the hfs in the remaining two nonzero J states of the 4s 4p configuration have been reported recently. The metastable 3P 2 state has been investigated by Grundevik et al [4], using the atomic-beam magnetic-resonance method with laser detection and in the long lived 3p~ state by Arnold et al [5] in a combined laser-radiofrequency experiment. Thus the hfs is known for all states of the 4s4p configuration.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the hyperfine structure of the 4s 4p configuration in Ca and the nuclear quadrupole moment of43Ca

Olsson

Salomonson

1982

Z Physik A

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Hyperfine structure (r -3) integrals are calculated for the 4s4p configuration in Ca, including the effects of core polarization. This is done with the use of LS-dependent Hartree-Fock orbitals. The calculated effects describe well the magnetic hyperfine structure for the 3p term. The description of the 1p term is less good, however, due to the effects of the strong correlation between the valence electrons for this term. The intermediate coupling in the lowest sp configurations of Mg, Ca and Sr is analysed considering also the spin-spin interaction. Using the ab initio (r -3) integrals, the determined intermediate coupling and the experimentally known hyperfine constants, second-order hyperfine corrections are calculated and accurate a q-and biLparameters evaluated for 43Ca. This resolves the previously inconsistent results for b ~ determined from the 3P 1 and 3P a b-factors for this isotope. An accurate value for b ~ in the 3p term of 43Ca is b~ -13.27(6) MHz. Combined with the calculated (r-3) ~ integral, this gives a more accurate value for the nuclear quadrupole moment of 43Ca than given earlier, Q(43Ca)=-49(5) mb, where the uncertainty comes from the uncertainty estimated for the (r-3) ~ integral.

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2.2 Nuclear constants of quadrupolar elements

Chihara¹,

Nakamura²

Landolt-Börnstein - Group III Condensed Matter

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Precision Method for Hyperfine-Structure Studies in Low-Abundance Isotopes: The Quadrupole Moment ofCa43

Cited by 42 publications

References 9 publications

Ab-initio calculations of pair-correlation effects on the hyperfine structure of the 4s 4p and 4s 3d configurations of Ca

Ab-initio calculations of pair-correlation effects on the hyperfine structure of the 4s 4p and 4s 3d configurations of Ca

Analysis of the hyperfine structure of the 4s 4p configuration in Ca and the nuclear quadrupole moment of43Ca

2.2 Nuclear constants of quadrupolar elements

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