Precise determination of the ground state hyperfine structure splitting of43Ca II

Arbes, F.; Benzing, M.; Gudjons, T.; Kurth, F.; Werth, G.

doi:10.1007/bf01426573

Cited by 40 publications

(30 citation statements)

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“…The hyperfine constant A S 1/2 = −806.4020716 MHz was measured in reference [10]. The g-factors g I ′ = 2.0503 · 10 −4 and g S 1/2 = 2.00225664 were taken from references [24] and [25], g D This value is in good agreement with a previous measurement (∆ 43,40 iso = 4129(18) MHz [10]). Frequency drift between the measurements, accuracy of the reference cavity's free spectral range ∆ F SR and the uncertainty in the determination of the exact line centers limit the accuracy of our measurement.…”

Section: Methodssupporting

confidence: 83%

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Measurement of the hyperfine structure of theS1∕2−D5∕2transition in
Benhelm
¹
,
Kirchmair
²
,
Rapol
³

et al. 2007
Phys. Rev. A
34
1
13
0
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The hyperfine structure of the 4s 2 S 1/2 − 3d 2 D 5/2 quadrupole transition at 729 nm in 43 Ca + has been investigated by laser spectroscopy using a single trapped 43 Ca + ion. We determine the hyperfine structure constants of the metastable level as AD 5/2 = −3.8931(2) MHz and BD 5/2 = −4.241(4) MHz. The isotope shift of the transition with respect to 40 Ca + was measured to be ∆ 43,40 iso = 4134.713(5) MHz. We demonstrate the existence of transitions that become independent of the first-order Zeeman shift at non-zero low magnetic fields. These transitions might be better suited for building a frequency standard than the well-known 'clock transitions' between m=0 levels at zero magnetic field.

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Section: Methodssupporting

confidence: 83%

“…For frequency tuning, one of the reference cavity mirrors is mounted using two concentric piezo transducers that are compensated for thermal drift. This allows frequency tuning of [10,11] and our own measurement). Laser light at 397 nm is used for Doppler cooling and detection, the lasers at 866 and 854 nm pump out the D-states.…”

Section: Methodsmentioning

confidence: 89%

Measurement of the hyperfine structure of theS1∕2−D5∕2transition in
Benhelm
¹
,
Kirchmair
²
,
Rapol
³

et al. 2007
Phys. Rev. A
34
1
13
0
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“…Bare spin and orbital (Table I). The magnetic moments were obtained using the reference isotope 43 Ca, with A( 2 P 3/2 ) = −806.40207160(8) MHz [32]. Quadrupole moments were extracted using the calculated electric field gradient, eV J J = 151.3(7) MHz/b [40].…”

Section: Published By the American Physical Society Under The Terms Omentioning

confidence: 99%

Ground-state electromagnetic moments of calcium isotopes

et al. 2015

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Background:The neutron-rich calcium isotopes have gained particular interest as evidence of closed-shell structures has recently been found in two exotic nuclei, at N = 32 and N = 34. Additionally, the study of such neutron-rich systems has revealed new aspects of nuclear forces, in particular regarding the role of three-nucleon forces. Purpose: We study the electromagnetic properties of Ca isotopes around the neutron number N = 32. Methods: High-resolution bunched-beam collinear laser spectroscopy was used to measure the optical hyperfine spectra of the 43−51 Ca isotopes. Results: The ground-state magnetic moments of 49,51 Ca and quadrupole moments of 47,49,51 Ca were measured for the first time, and the 51 Ca ground-state spin I = 3/2 was determined in a model-independent way. Our experimental results are compared with state-of-the-art shell-model calculations using both phenomenological interactions and microscopic interactions derived from chiral effective field theory. Conclusions:The results for the ground-state moments of neutron-rich isotopes are in excellent agreement with predictions of interactions derived from chiral effective field theory including three-nucleon forces. Lighter isotopes illustrate the presence of particle-hole excitations of the 40 Ca core in their ground state. Our results provide a critical test of modern nuclear theories, and give direct answer to the evolution of ground-state electromagnetic properties in the Ca isotopic chain across three doubly closed-shell configurations at N = 20, 28, 32 of this unique system.

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“…The hyperfine structure splittings of the 4s, 4p 1/2 , and 4p 3/2 levels in 43 Ca II were measured by fast ion beam collinear laser spectroscopy in [50]. Precise determination of the 4s ground state hyperfine structure splitting of 43 Ca + (3225.6082864(3)MHz) was reported by Arbes et al [51]. The Doppler-free and potentially very narrow resonances were used in Ref.…”

Section: Camentioning

confidence: 99%

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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Precise determination of the ground state hyperfine structure splitting of43Ca II

Cited by 40 publications

References 1 publication

Measurement of the hyperfine structure of theS1∕2−D5∕2transition in
Benhelm
¹
,
Kirchmair
²
,
Rapol
³

et al. 2007
Phys. Rev. A
34
1
13
0
View full text Add to dashboard Cite

Measurement of the hyperfine structure of theS1∕2−D5∕2transition in
Benhelm
¹
,
Kirchmair
²
,
Rapol
³

et al. 2007
Phys. Rev. A
34
1
13
0
View full text Add to dashboard Cite

Ground-state electromagnetic moments of calcium isotopes

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

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Precise determination of the ground state hyperfine structure splitting of43Ca II

Cited by 40 publications

References 1 publication

Measurement of the hyperfine structure of theS1∕2−D5∕2transition inBenhelm1, Kirchmair2, Rapol3 et al. 2007Phys. Rev. A341130View full textAdd to dashboardCite

Measurement of the hyperfine structure of theS1∕2−D5∕2transition inBenhelm1, Kirchmair2, Rapol3 et al. 2007Phys. Rev. A341130View full textAdd to dashboardCite

Ground-state electromagnetic moments of calcium isotopes

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

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Resources

About

Measurement of the hyperfine structure of theS1∕2−D5∕2transition in
Benhelm
¹
,
Kirchmair
²
,
Rapol
³

et al. 2007
Phys. Rev. A
34
1
13
0
View full text Add to dashboard Cite

Measurement of the hyperfine structure of theS1∕2−D5∕2transition in
Benhelm
¹
,
Kirchmair
²
,
Rapol
³

et al. 2007
Phys. Rev. A
34
1
13
0
View full text Add to dashboard Cite