Nuclear Magnetic Moments of Francium-207–213 from Precision Hyperfine Comparisons

Roberts, B. M.; Ginges, J. S. M.

doi:10.1103/physrevlett.125.063002

Cited by 16 publications

(23 citation statements)

References 55 publications

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“…Nucleus Ref. [22] This work This work 187 Tl m 3.707 (22) 3.710 (22)(2) 3.687 (38)(2) 189 Tl m 3.756 (22) 3.758 (22)(2) 3.764 (42)(2) 191 Tl m 3.781 (22) 3.783 (22)(2) 3.785 (24)(2) 193 Tl m 3.824 (22) 3.827 (22)(2) 3.841 (25)(2)…”

Section: Resultsmentioning

confidence: 98%

“…( 8), (9) should be omitted. Hyperfine magnetic anomalies (1) can be used to determine the magnetic moments of short-lived isotopes [20][21][22]24]. We denote stable and short-lived isotopes by 1 and 2, respectively.…”

Section: Theorymentioning

confidence: 99%

“…Such electronic calculations are necessary to extract the value of the electric dipole moment of the electron and other fundamental constants and properties from the experimental data [1,5,[15][16][17][18]. Using the results of calculations and experimental data, it is possible to obtain the magnetic moments of short-lived nuclei [19][20][21][22][23][24]. The obtained values can be used for the development of the nuclear structure theory.…”

Section: Introductionmentioning

confidence: 99%

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Effect of nuclear magnetization distribution within the Woods-Saxon model: Hyperfine splitting in neutral Tl

Prosnyak,

Skripnikov

2021

Preprint

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Three models of the nuclear magnetization distribution are applied to predict the hyperfine structure of the hydrogen-like heavy ions and neutral thallium atoms: the uniformly magnetized ball model and single-particle models for the valence nucleon with the uniform distribution and distribution determined by the Woods-Saxon potential. Results for the hydrogen-like ions are in excellent agreement with previous studies. The application of the Woods-Saxon model is now extended to the neutral systems with the explicit treatment of the electron correlation effects within the relativistic coupled cluster theory using the Dirac-Coulomb Hamiltonian. We estimate the uncertainty for the ratio of magnetic anomalies and numerically confirm its near nuclear-model independence. The ratio is used as a theoretical input to predict the nuclear magnetic moments of short-lived thallium isotopes. We also show that the differential magnetic anomalies are strongly model-dependent. The accuracy of the single-particle models significantly surpasses the accuracy of the simplest uniformly magnetized ball model for the prediction of this quantity. In Ref. [L.V. Skripnikov, J. Chem. Phys. 153, 114114 (2020)] it has been shown that the Bohr-Weisskopf contribution to the magnetic dipole hyperfine structure constant for an atom or a molecule induced by a heavy nucleus can be factorized into the electronic part and the universal nuclear magnetization dependent part. We numerically confirm this factorization for the Woods-Saxon single-particle model with an uncertainty less than 1%.

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Section: Resultsmentioning

confidence: 98%

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of nuclear magnetization distribution within the Woods-Saxon model: Hyperfine splitting in neutral Tl

Prosnyak,

Skripnikov

2021

Preprint

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“…Precision studies of the hyperfine structure in heavy atoms and ions play an important role in atomic and nuclear physics. They allow for stringent tests of quantum electrodynamics in strong electromagnetic fields [1][2][3], determination of nuclear magnetic moments [4][5][6][7] and tests of nuclear structure models [8][9][10][11][12][13][14][15][16], as well as tests of atomic structure theory needed for precision atomic searches for physics beyond the standard model [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

“…The last few years have seen a resurgence of interest in the Bohr-Weisskopf effect and in improved modelling of the nuclear magnetization distribution. This includes its use in the determination of nuclear magnetic moments [5][6][7], in understanding the neutron distribution in nuclei [12,13], and in reliable tests of atomic wavefunctions in the nuclear vicinity [22,23]. The high sensitivity of the hyperfine structure to modelling of the finite nuclear magnetization distribution for a number of systems of interest for precision atomic tests of the standard model has only recently come to light [24].…”

Section: Introductionmentioning

confidence: 99%

The Bohr-Weisskopf effect: from hydrogenlike-ion experiments to heavy-atom calculations of the hyperfine structure

Roberts,

Ranclaud,

Ginges

2021

Preprint

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In this paper we study the influence of electron screening on the Bohr-Weisskopf (BW) effect in manyelectron atoms. The BW effect gives the finite-nucleus magnetization contribution to the hyperfine structure. Relativistic atomic many-body calculations are performed for s and p 1/2 states of several systems of interest for studies of atomic parity violation and time-reversal-violating electric dipole moments -Rb, Cs, Fr, Ba + , Ra + , and Tl. For s states, electron screening effects are small, and the relative BW correction for hydrogenlike ions and neutral atoms is approximately the same. We relate the ground-state BW effect in H-like ions, which may be cleanly extracted from experiments, to the BW effect in s and p 1/2 states of neutral and near neutral atoms through an electronic screening factor. This allows the BW effect extracted from measurements with H-like ions to be used, with screening factors, in atomic calculations without recourse to modelled nuclear structure input. It opens the way for unprecedented accuracy in accounting for the BW effect in heavy atoms. The efficacy of this approach is demonstrated using available experimental data for H-like and neutral 203 Tl and 205 Tl.

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Survey of Hyperfine Structure Measurements in Alkali Atoms

Allegrini

Arimondo

Orozco

2022

Journal of Physical and Chemical Reference Data

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The spectroscopic hyperfine constants for all the alkali atoms are reported. For atoms from lithium to cesium, only the long lived atomic isotopes are examined. For francium, the measured data for nuclear ground states of all available isotopes are listed. All results obtained since the beginning of laser investigations are presented, while for previous works the data of Arimondo et al. [Rev. Mod. Phys. 49, 31 (1977)] are recalled. Global analyses based on the scaling laws and the hyperfine anomalies are performed.

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Nuclear Magnetic Moments of Francium-207–213 from Precision Hyperfine Comparisons

Cited by 16 publications

References 55 publications

Effect of nuclear magnetization distribution within the Woods-Saxon model: Hyperfine splitting in neutral Tl

Effect of nuclear magnetization distribution within the Woods-Saxon model: Hyperfine splitting in neutral Tl

The Bohr-Weisskopf effect: from hydrogenlike-ion experiments to heavy-atom calculations of the hyperfine structure

Survey of Hyperfine Structure Measurements in Alkali Atoms

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