Measurement of the ground state hyperfine splitting in207Pb II

Roth, Andreas; Werth, G.

doi:10.1007/bf01438299

Cited by 8 publications

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“…The error is purely statistical. This result confirms the previous pulsed-dye-laser measurement [2] (12.85+0.10 GHz) but is in contradiction to the result of Ref. [ Fig.…”

Section: Methodssupporting

confidence: 64%

“…Laser scan of the F=0 -F'= 1 hfs component in the 6P] y2 6P3y2 fine-structure transition in Pb+. From the comparison of one (1) and two(2) Gaussian functions fitted to the experimental points an additional component (e) is obvious, which we attribute to a weak admixture of an electric quadru-…”

mentioning

confidence: 89%

“…Optical measurements of the 6P, /2-6P3/2 M1 finestructure transition at 710 nm in lead ions by conventional spectroscopy [1] and by pulsed laser excitation in an ion trap [2] have results in values for the ground-state hyperfine-splitting (hfs} constant of the 207 mass isotope, which do not agree within the quoted limits of error. To clarify the situation we have performed narrow-band cw laser excitation on Pb+ stored in a rf quadropole trap with proper calibration of the laser frequency.…”

Section: Introductionmentioning

confidence: 95%

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Hyperfine-structure measurements on trapped Pb ii

Feng

Alheit

et al. 1992

Phys. Rev. A

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The 683/2 6P1/2 magnetic dipole resonance transition in Pb has been observed by cw laser excitation of an ion cloud stored in a Paul trap and subsequent detection of the fluorescence radiation. From the hyperfine-structure splitting of the spectrum we determine the A factor for the ground state, 2 (Pl/2 ) = 12.967( 13) GHz and the excited state, 3 (P3/2 ) =0.580(3) GHz. From a contamination of Pb in our sample we derived the 'Pb+-Pb+ isotope shift [b v=311(14}MHz]. A small electric quadrupole admixture giving rise to a EF=2 component in the spectrum has been determined to be 6.4(0.5)% of the total transition amplitude.

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“…The error is purely statistical. This result confirms the previous pulsed-dye-laser measurement [2] (12.85+0.10 GHz) but is in contradiction to the result of Ref. [ Fig.…”

Section: Methodssupporting

confidence: 64%

mentioning

confidence: 89%

Section: Introductionmentioning

confidence: 95%

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Hyperfine-structure measurements on trapped Pb ii

Feng

Alheit

et al. 1992

Phys. Rev. A

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“…207 P b + is the heaviest atomic ion to be trapped and cooled to date [3,4]. The lifetime of the 6p 3/2 (6 2 P 3/2 ) state of this ion has been measured to an accuracy of 2% [5].…”

Section: Introductionmentioning

confidence: 99%

Ab initiodetermination of the lifetime of the 6²P_3/2state for²⁰⁷Pb⁺by relativistic many-body theory

Sahoo¹,

Majumder²,

Chaudhuri³

et al. 2004

J. Phys. B: At. Mol. Opt. Phys.

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Relativistic coupled-cluster(RCC) theory has been employed to calculate the lifetime of the 6 2 P 3/2 state of single ionized lead( 207 P b) to an accuracy of 3% and compared with the corresponding value obtained using second order relativistic many-body perturbation theory(RMBPT). This is one of the very few applications of this theory to excited state properties of heavy atomic systems. Contributions from the different electron correlation effects are given explicitly.

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“…There have been relatively few theoretical studies of properties of heavy atomic systems based on the relativistic coupled-cluster (RCC) theory. Pb + (Z=82) is the heaviest atomic ion that has been trapped and cooled so far [5,6]. The magnetic dipole hyperfine constants have been measured for the 6p 2 P 1/2 and 6p 2 P 3/2 states of this ion [7] and these data can be compared with calculations of the corresponding quantities using RCC theory.…”

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confidence: 99%

Application of relativistic coupled-cluster theory to heavy atomic systems with strongly interacting configurations: Hyperfine interactions inPb+207

Sahoo¹,

Chaudhuri²,

Das³

et al. 2005

Phys. Rev. A

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This work presents a first time accurate calculation of the magnetic dipole hyperfine structure constants for the ground state and some low-lying excited states of Pb + . By comparing different levels of approximation with experimental results, we demonstrate the importance of correlation effects which reach beyond lower order relativistic many body perturbation theory. Employing relativistic coupled-cluster theory we obtain a quantitative understanding of the core-polarization and correlation effects inherent in this system and observe completely different trends compared to Ba + .Coupled-cluster theory has been used to study a wide range of many-body systems [1]. Although the non-relativistic version of this theory has been very successfully applied to a variety of light atoms and molecules [2], its extension to the relativistic regime is rather recent [3,4]. There have been relatively few theoretical studies of properties of heavy atomic systems based on the relativistic coupled-cluster (RCC) theory. Pb + (Z=82) is the heaviest atomic ion that has been trapped and cooled so far [5,6]. The magnetic dipole hyperfine constants have been measured for the 6p 2 P 1/2 and 6p 2 P 3/2 states of this ion [7] and these data can be compared with calculations of the corresponding quantities using RCC theory. Such comparisons would indeed constitute an important test of this theory. The non-linear RCC in the singles and doubles approximation with partial triples added in some cases has yielded results to an accuracy of about one percent for atoms and ions with a single s valence electron [8,9,10]. However, the correlation effects in Pb + are expected to be much stronger as it has a 6p valence electron and two 6s electrons in its outermost core orbital.The hyperfine structure constant (A)for the atomic state |JM can be expressed in terms of a reduced expectation value where r j is the radial position of the j th electron, α j is the Dirac matrix and Y10 is a vector spherical harmonic.We have used the RCC theory in to obtain the atomic wavefunctions. As pointed out in our earlier work [12] coupled-cluster theory is equivalent to all order manybody perturbation theory (MBPT). In the open-shell coupled-cluster theory [13,14] the many-body wavefunction for a system with single valence electron can be written aswhere a † v is the creation operator corresponding to a valence orbital 'v' and |Φ 0 is a closed-shell determinantal state built from occupied Dirac-Fock (DF) orbitals. T-and S v -are the closed and open shell excitation operators respectively. In this work both T-and S voperators are truncated beyond double excitations and triple excitations are added on the leading order MBPT level.Explicitly, the T-operator is defined as

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Measurement of the ground state hyperfine splitting in207Pb II

Cited by 8 publications

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Hyperfine-structure measurements on trapped Pb ii

Hyperfine-structure measurements on trapped Pb ii

Ab initiodetermination of the lifetime of the 6²P_3/2state for²⁰⁷Pb⁺by relativistic many-body theory

Application of relativistic coupled-cluster theory to heavy atomic systems with strongly interacting configurations: Hyperfine interactions inPb+207

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Measurement of the ground state hyperfine splitting in207Pb II

Cited by 8 publications

References 0 publications

Hyperfine-structure measurements on trapped Pb ii

Hyperfine-structure measurements on trapped Pb ii

Ab initiodetermination of the lifetime of the 62P3/2state for207Pb+by relativistic many-body theory

Application of relativistic coupled-cluster theory to heavy atomic systems with strongly interacting configurations: Hyperfine interactions inPb+207

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Ab initiodetermination of the lifetime of the 6²P_3/2state for²⁰⁷Pb⁺by relativistic many-body theory