Table of hyperfine anomaly in atomic systems

Persson, Jonas

doi:10.1016/j.adt.2012.04.002

Cited by 67 publications

(44 citation statements)

References 75 publications

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“…In the case of the mercury isotopes, such measurements were done earlier for ten long-lived isotopes and isomers ( 193−201,193m−199m Hg). Correspondingly, for these nuclei, the hyperfine anomaly is known with sufficient accuracy [48]. Moskowitz and Lombardi [49] have shown that if one neglects the BR part of the anomaly in comparison with its BW component, then the experimental hyperfine anomalies in the 3 P 1 atomic state of this series of mercury isotopes, with the odd neutron in the nuclear shell model neutron orbitals p 1/2 , p 3/2 , f 5/2 and i 13/2 , are well reproduced assuming the simple relation known as the Moskowitz-Lombardi (ML) rule:…”

Section: Electromagnetic Momentsmentioning

confidence: 99%

Shape staggering of midshell mercury isotopes from in-source laser spectroscopy compared with density-functional-theory and Monte Carlo shell-model calculations

Sels¹,

Goodacre²,

Marsh³

et al. 2019

Phys. Rev. C

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Neutron-deficient 177−185 Hg isotopes were studied using in-source laser resonance-ionization spectroscopy at the CERN-ISOLDE radioactive ion-beam facility, in an experiment combining different detection methods tailored to the studied isotopes. These include either α-decay tagging or Multireflection Time-of-Flight gating to identify the isotopes of interest. The endpoint of the odd-even nuclear shape staggering in mercury was observed directly by measuring for the first time the isotope shifts and hyperfine structures of 177−180 Hg. Changes in the mean-square charge radii for all mentioned isotopes, magnetic dipole and electric quadrupole moments of the odd-A isotopes and arguments in favor of I = 7/2 spin assignment for 177,179 Hg were deduced. Experimental results are compared with Density Functional Theory (DFT) and Monte-Carlo Shell Model (MCSM) calculations. DFT calculations with several Skyrme parameterizations predict a large jump in the charge radius around the neutron N = 104 mid shell, with an odd-even staggering pattern related to the coexistence of nearly-degenerate oblate and prolate minima. This near-degeneracy is highly sensitive to many aspects of the effective interaction, a fact that renders perfect agreement with experiment out of reach for current functionals. Despite this inherent difficulty, the SLy5s1 and a modified UNEDF1 SO parameterization predict a qualitatively correct staggering that is off by two neutron numbers. MCSM calculations of states with the experimental spins and parities show good agreement for both electromagnetic moments and the observed charge radii. A clear mechanism for the origin of shape staggering within this context is identified: a substantial change in occupancy of the proton πh 9/2 and neutron νi 13/2 orbitals.

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Section: Electromagnetic Momentsmentioning

confidence: 99%

Shape staggering of midshell mercury isotopes from in-source laser spectroscopy compared with density-functional-theory and Monte Carlo shell-model calculations

Sels¹,

Goodacre²,

Marsh³

et al. 2019

Phys. Rev. C

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“…Study of the magnetic anomalies offers a way of pursuing the change of the effective nuclear radii within isotopic chains with addition of neutrons to the nucleus, which information is of primordial interest. That explains why a specific problem of a magnetic anomaly of the hyperfine splitting of the atomic structure became very topical for the past time [5,6,7,8]. Nuclear-optical methods became very important in the research into the properties of rare or radioactive nuclides.…”

Section: Introductionmentioning

confidence: 99%

“…From the theoretical point of view, description of the hyperfine splitting is a challenging problem, as it needs a calculation of the atomic wavefunctions with the accuracy of ∼ 10 −4 [5,9]. A convenient way of comparison of the data to theoretical calculations is offered by investigation of the HFS in few-electron atoms: H-, Lior B-like ions.…”

Section: Introductionmentioning

confidence: 99%

The theory of the Bohr–Weisskopf effect in the hyperfine structure

Karpeshin

Trzhaskovskaya

2015

Nuclear Physics A

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For twenty years research into the anomalies in the HF spectra was going in a wrong direction in fighting the Bohr-Weisskopf effect. As way out, we propose the model-independent way, which enables the nuclear radii and their moments to be obtained from the hyper-fine splitting. The way is based on analogy of HFS to internal conversion coefficients, and the Bohr-Weisskopf effect -to the anomalies in the internal conversion coefficients. It is shown that the parameters which can be extracted from the data are the even nuclear moments of the magnetization distribution. The radii R 2 and (for the first time) R 4 are obtained in this way by analysis of the experimental HFS for the H-and Li-like ions of 209 Bi. The critical prediction is made concerning the HFS for the 2p 1 2 state. The moments may be determined in this way only if the higher QED effects are properly taken into account. Therefore, this set of the parameters form a basis of a strict QED test. Experimental recommendations are given, aimed at retrieving data on the HFS values for a set of a few-electron configurations of various atoms.

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“…Assuming that the hyperfine anomaly is fairly constant for all 13/2-isotopes (1.7(1.0)%) as has been found in Hg [24], it is possible to correct the nuclear magnetic moment for the 13/2 isotopes measured with only one A-factor [7]. The corrected values are given in table 9.…”

Section: Hyperfine Anomaly In Unstable Isotopesmentioning

confidence: 98%

Hyperfine structure and hyperfine anomaly in Pb

Persson

2018

J. Phys. Commun.

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The hyperfine structure in the 6p 2 -configuration in lead has been analysed and the results are compared with calculations. The hyperfine anomaly and improved values of the nuclear magnetic moment for four lead isotopes are obtained, using the results from the analysis. Using the the trend recommended adjustment of the nuclear magnetic moment in four isotopes is suggested. The results open up for new measurements of the hyperfine structure in unstable lead isotopes, in order to obtain improved values of the nuclear magnetic moment,extract information of the hyperfine anomaly and distribution of magnetisation in the nucleus. Experimental hyperfine structure constantsThe hfs in Pb has been studied by different methods over the years, using optical spectroscopy as well as with the Atomic Beam Magnetic Resonance (ABMR) technique. With the advent of lasers, especially in the UV-region, more studies have been done. In table 1 an overview of the experimental hfs constants in 207 Pb for a number of OPEN ACCESS RECEIVED

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Table of hyperfine anomaly in atomic systems

Cited by 67 publications

References 75 publications

Shape staggering of midshell mercury isotopes from in-source laser spectroscopy compared with density-functional-theory and Monte Carlo shell-model calculations

Shape staggering of midshell mercury isotopes from in-source laser spectroscopy compared with density-functional-theory and Monte Carlo shell-model calculations

The theory of the Bohr–Weisskopf effect in the hyperfine structure

Hyperfine structure and hyperfine anomaly in Pb

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