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Related papers: On the hyperfine anomaly in Eu isotopes

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The Moskowitz-Lombardi rule gives a simple relation between the magnetic moment of an atomic nucleus and the effect of its radial distribution on the hyperfine structure - the magnetic hyperfine anomaly or "Bohr-Weisskopf" effect. It was…

Atomic Physics · Physics 2025-07-14 J. Vandeleur , G. Sanamyan , B. M. Roberts , J. S. M. Ginges

We calculate the hyperfine structure constant for the Eu isotopes with shell model wave functions. The calculated results are compared with those predicted by the Moskowitz-Lombardi (M-L) empirical formula. It turns out that the two…

Nuclear Theory · Physics 2009-10-30 Tomoko Asaga , Takehisa Fujita , Kaori Ito

The Dirac-Hartree-Fock plus many-body perturbation theory (DHF+MBPT) method has been used to calculate hyperfine structure constants for Fr. Calculated hyperfine structure anomaly for hydrogen-like ion has been shown to be in good agreement…

Atomic Physics · Physics 2018-12-06 E. A. Konovalova , Yu. A. Demidov , M. G. Kozlov , A. E. Barzakh

Theory of anomalous internal conversion is developed, and extended for the description of the hyperfine splitting. Experimental data on the hyperfine splitting in the H- and Li-like heavy ions of 209Bi are analyzed in terms of the…

Nuclear Theory · Physics 2018-09-25 F. F. Karpeshin , M. B. Trzhaskovskaya

For twenty years research into the anomalies in the HF spectra was going in a wrong direction by fighting the related Bohr-Weisskopf effect. As a way out, the model-independent way is proposed of estimating the nuclear radii from the…

Nuclear Theory · Physics 2015-12-09 F. F. Karpeshin , M. B. Trzhaskovskaya

An update is given on the experimental values of the magnetic hyperfine structure and the Bohr-Weisskopf effect in muonic atoms. The need for more measurements and systematic calculations is discussed to allow the differentiation of…

Nuclear Theory · Physics 2025-11-27 J. R. Persson

We have measured the hyperfine splitting of the $7P_{1/2}$ state at the 100 ppm level in Fr isotopes ($^{206g,206m, 207, 209, 213, 221}$Fr) near the closed neutron shell ($N$ = 126 in $^{213}$Fr). The measurements in five isotopes and a…

We report a fourfold improvement in the determination of nuclear magnetic moments for neutron-deficient isotopes of francium-207--213, reducing the uncertainties from 2% for most isotopes to 0.5%. These are found by comparing our…

Atomic Physics · Physics 2021-02-16 B. M. Roberts , J. S. M. Ginges

The magnetic hyperfine structure constants have been calculated for low-lying levels in neutral potassium atom taking into account the Bohr--Weisskopf (BW) and Breit--Rosenthal (BR) effects. According to our results the $4p_{1/2}$ state of…

Atomic Physics · Physics 2023-02-22 Yu. A. Demidov , M. G. Kozlov , A. E. Barzakh , V. A. Yerokhin

The ground state hyperfine splitting values of high Z hydrogenlike ions are calculated. The relativistic, nuclear and QED corrections are taken into account. The nuclear magnetization distribution correction (the Bohr-Weisskopf effect) is…

Atomic Physics · Physics 2009-10-30 V. M. Shabaev , M. Tomaselli , T. Kühl , A. N. Artemyev , V. A. Yerokhin

Some aspects of description of the Bohr-Weisskopf effect in hyperfine splitting of the H- and Li-like ions of 209Bi are considered by application of the surface and volume models of the nuclear currents. Extension of these models, used in…

Nuclear Theory · Physics 2019-08-21 F. F. Karpeshin , M. B. Trzhaskovskaya

We observe a hyperfine anomaly in the measurement of the hyperfine splitting of the 6S_{1/2} excited level in rubidium. We perform two step spectroscopy using the 5S_{1/2}->5P_{1/2}->6S_{1/2} excitation sequence. We measure the splitting of…

Atomic Physics · Physics 2009-11-13 A. Perez Galvan , Y. Zhao , L. A. Orozco , E. Gomez , A. D. Lange , F. Baumer , G. D. Sprouse

The finite distribution of the nuclear magnetic moment across the nucleus gives a contribution to the hyperfine structure known as the Bohr-Weisskopf (BW) effect. We have obtained an empirical value of -0.24(18)% for this effect in the…

Atomic Physics · Physics 2023-02-06 G. Sanamyan , B. M. Roberts , J. S. M. Ginges

The entropic way of formulating Heisenberg's uncertainty principle not only plays a fundamental role in applications of quantum information theory but also is essential for manifesting genuine nonclassical features of quantum systems. In…

Quantum Physics · Physics 2024-03-05 Shan Huang , Hua-Lei Yin , Zeng-Bing Chen , Shengjun Wu

We apply relativistic many-body methods to compute static differential polarizabilities for transitions inside the ground-state hyperfine manifolds of monovalent atoms and ions. Knowing this transition polarizability is required in a number…

Atomic Physics · Physics 2011-07-13 V. A. Dzuba , V. V. Flambaum , K. Beloy , A. Derevianko

An algorithm for the calculation of hyperfine structure and spectra of diatomic molecules based on the variational nuclear motion is presented. Hyperfine coupling terms considered are Fermi-contact, nuclear spin-electron spin dipole-dipole,…

Chemical Physics · Physics 2022-02-15 Qianwei Qu , Sergei N. Yurchenko , Jonathan Tennyson

In this paper we study the influence of electron screening on the Bohr-Weisskopf (BW) effect in many-electron atoms. The BW effect gives the finite-nucleus magnetization contribution to the hyperfine structure. Relativistic atomic many-body…

Atomic Physics · Physics 2022-05-04 B. M. Roberts , P. G. Ranclaud , J. S. M. Ginges

Random invariant manifolds are geometric objects useful for understanding complex dynamics under stochastic influences. Under a nonuniform hyperbolicity or a nonuniform exponential dichotomy condition, the existence of random pseudo-stable…

Dynamical Systems · Mathematics 2009-01-06 Tomas Caraballo , Jinqiao Duan , Kening Lu , Bjorn Schmalfuss

In some parameter and solution regimes, a minimally coupled nonrelativistic quantum particle in 1d is isomorphic to a much heavier, vibrating, very thin Euler-Bernoulli rod in 3d, with ratio of bending modulus to linear density…

Soft Condensed Matter · Physics 2023-07-03 T. A. Engstrom

A linear stability analysis of the free surface of a horizontally unbounded ferrofluid layer of arbitrary depth subjected to vertical vibrations and a horizontal magnetic field is performed. A nonmonotonic dependence of the stability…

Pattern Formation and Solitons · Physics 2009-11-07 V. V. Mekhonoshin , Adrian Lange
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