Hyperfine structure in thallium atom: Study of nuclear magnetization distribution effects

Prosnyak, S. D.; Maison, D. E.; Skripnikov, L. V.

doi:10.1063/1.5141090

Cited by 25 publications

(25 citation statements)

References 53 publications

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“…[41] for stable nuclei and Ref. [23] for shortlived thallium isotopes. WS potential parameters were [23,[41][42][43][44] and charge radii [39,40].…”

Section: Calculation Detailsmentioning

confidence: 99%

“…As far as we know, this model has not been previously used to calculate the hyperfine structure of the neutral thallium atom with the explicit and direct treatment of the electron correlation effects. Results are compared with the values obtained within the uniformly magnetized ball model [23]. Next we compare predictions for the ratio of hyperfine magnetic anomalies and the differential hyperfine anomaly within different models.…”

Section: Introductionmentioning

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%

“…In order to reproduce the experimental results for hyperfine splitting with an uncertainty of an order of 1%, it is necessary to take into account both the finite charge distribution over the nucleus, the Breit-Rosenthal (BR) effect [25,26], and the finite nuclear magnetization distribution, the Bohr-Weisskopf (BW) effect [27][28][29]. In studies of neutral atoms, the uniformly magnetized ball model is widely used to calculate the BW correction [23,[30][31][32][33]. The only parameter of this model is the radius of the ball, R M .…”

Section: Introductionmentioning

confidence: 99%

“…The only parameter of this model is the radius of the ball, R M . Therefore, it can be not equal to the charge radius to reproduce the experimental value of the hyperfine splitting [23,34], which raises questions about the physical meaning of such a model.…”

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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“…[41] for stable nuclei and Ref. [23] for shortlived thallium isotopes. WS potential parameters were [23,[41][42][43][44] and charge radii [39,40].…”

Section: Calculation Detailsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

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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Diagonal and off-diagonal hyperfine structure matrix elements in KCs within the relativistic Fock space coupled cluster theory

Oleynichenko

Skripnikov

Zaitsevskii

et al. 2020

Chemical Physics Letters

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Nuclear magnetization distribution effect in molecules: Ra+ and RaF hyperfine structure

Skripnikov

2020

The Journal of Chemical Physics

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Recently, the first laser spectroscopy measurement of the radioactive RaF molecule has been reported by Ruiz et al. [Nature 581, 396 (2020)]. This and similar molecules are considered to search for the new physics effects. The radium nucleus is of interest as it is octupole-deformed and has close levels of opposite parity. The preparation of such experiments can be simplified if there are reliable theoretical predictions. It is shown that the accurate prediction of the hyperfine structure of the RaF molecule requires to take into account the finite magnetization distribution inside the radium nucleus. For atoms, this effect is known as the Bohr–Weisskopf (BW) effect. Its magnitude depends on the model of the nuclear magnetization distribution which is usually not well known. We show that it is possible to express the nuclear magnetization distribution contribution to the hyperfine structure constant in terms of one magnetization distribution dependent parameter: BW matrix element for 1s-state of the corresponding hydrogen-like ion. This parameter can be extracted from the accurate experimental and theoretical electronic structure data for an ion, atom, or molecule without the explicit treatment of any nuclear magnetization distribution model. This approach can be applied to predict the hyperfine structure of atoms and molecules and allows one to separate the nuclear and electronic correlation problems. It is employed to calculate the finite nuclear magnetization distribution contribution to the hyperfine structure of the 225Ra+ cation and 225RaF molecule. For the ground state of the 225RaF molecule, this contribution achieves 4%.

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Hyperfine structure in thallium atom: Study of nuclear magnetization distribution effects

Cited by 25 publications

References 53 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

Diagonal and off-diagonal hyperfine structure matrix elements in KCs within the relativistic Fock space coupled cluster theory

Nuclear magnetization distribution effect in molecules: Ra+ and RaF hyperfine structure

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