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We demonstrate the importance of electron correlation effects in the hyperfine structure constants of many low-lying states in $^{210}$Fr and $^{212}$Fr. This is achieved by calculating the magnetic dipole and electric quadrupole hyperfine…

Atomic Physics · Physics 2015-05-20 B. K. Sahoo , D. K. Nandy , B. P. Das , Y. Sakemi

The magnetic hyperfine (MHF) structure of the $5/2^+$(0.0 eV) ground state and the low-lying $3/2^+$(7.8 eV) isomeric state of the $^{229}$Th nucleus in highly charged ions Th$^{89+}$ and Th$^{87+}$ is calculated. The distribution of the…

Nuclear Theory · Physics 2016-08-24 E. V. Tkalya , A. V. Nikolaev

We have performed full configuration interaction computations of the ground states of the molecules Be, BeH_2, Li, LiH, B, and BH and verified that the core electrons constitute "separated electron pairs." These separated pairs of core…

Chemical Physics · Physics 2012-11-22 Alex D. Gottlieb , Rada M. Weishaeupl

We make precise calculation of hyperfine structure of $S$-states in muonic ions of lithium, beryllium and boron in quantum electrodynamics. Corrections of orders $\alpha^5$ and $\alpha^6$ due to the vacuum polarization, nuclear structure…

High Energy Physics - Phenomenology · Physics 2018-10-10 A. E. Dorokhov , A. A. Krutov , A. P. Martynenko , F. A. Martynenko , O. S. Sukhorukova

Using 201Hg+ contained within a linear quadrupole rf ion trap that is part of an atomic clock, we report the first high-resolution spectroscopy on the hyperfine structure of 201Hg+. We measure the absolute ground state hyperfine interval to…

Atomic Physics · Physics 2015-05-13 E. A. Burt , S. Taghavi-Larigani , R. L. Tjoelker

The potential-energy surfaces of an extended set of heavy and super-heavy even-even nuclei with $92 \le Z \le 126$ and isospins $40 \le N-Z \le 74$ are evaluated within the recently developed Fourier shape parametrization. Ground-state and…

Nuclear Theory · Physics 2018-03-28 K. Pomorski , B. Nerlo-Pomorska , J. Bartel , C. Schmitt

The complete second-order hyperfine-interaction correction is calculated for centroid energy levels of H, D, and $^3$He atoms. For $^3$He, the corrections of $-2.075$~kHz and $-0.305$~kHz beyond the leading hyperfine-mixing contribution are…

Atomic Physics · Physics 2024-12-10 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

We investigate interactions between the proton spin, the deuteron spin, and the orbital angular momentum in the electronic ground state of the HD molecule. These interactions lead to hyperfine splittings of molecular energy levels. Our…

Chemical Physics · Physics 2020-07-29 Jacek Komasa , Mariusz Puchalski , Krzysztof Pachucki

The static and dynamic electric-dipole polarizabilities and tune-out wavelengths for the ground state of Cs atoms are calculated by using a semiempirical relativistic configuration interaction plus core polarization approach. By considering…

Atomic Physics · Physics 2020-12-02 Jun Jiang , Xian-Jun Li , Xia Wang , Chen-Zhong Dong , Z. W. Wu

For natural parity states of several odd-A nuclei a comparison of shell model calculations in the full pf configuration space with the Nilsson diagram and particle-rotor predictions shows that prolate strong coupling applies at low…

Nuclear Theory · Physics 2011-07-19 F. Brandolini , C. A. Ur

The finite-size correction to $\beta$-decay plays an important role in determining the expected antineutrino spectra from reactors at a level that is important for the reactor-neutrino anomaly. Here we express the leading-order finite-size…

Nuclear Theory · Physics 2016-09-23 X. B. Wang , J. L. Friar , A. C. Hayes

We have measured the frequency splitting between the $(2S, F=1/2)$ and $(2S, F=3/2)$ hyperfine sublevels in atomic deuterium by an optical differential method based on two-photon Doppler-free spectroscopy on a cold atomic beam. The result…

Atomic Physics · Physics 2009-11-10 N. Kolachevsky , P. Fendel , S. G. Karshenboim , T. W. Hänsch

Binding energies, quadrupole deformation parameters, spins and parities of the neutron-deficient odd $Z=N+1$ nuclei in the $A\sim 80$ region are calculated in the relativistic mean field approximation. The ground-state and low-lying…

Nuclear Theory · Physics 2010-12-23 S. K. Patra , M. Del Estal , M. Centelles , X. Viñas

The logarithmically enhanced alpha^7 ln(1/alpha) contribution to the hyperfine splitting of the positronium ground-state energy levels is calculated in the framework of dimensionally regularized nonrelativistic quantum electrodynamics. The…

High Energy Physics - Phenomenology · Physics 2016-09-06 Bernd A. Kniehl , Alexander A. Penin

We calculate the A and B hyperfine constants for the low-lying states of 229Th3+ using a high-precision relativistic all-order approach. By combining these calculations with measurements of the 6d and 5f hyperfine constants [C. J. Campbell…

Atomic Physics · Physics 2015-06-15 M. S. Safronova , U. I. Safronova , A. G. Radnaev , C. J. Campbell , A. Kuzmich

Fully numerical mesh solutions of 2D quantum equations of Schroedinger and Hartree-Fock type allow us to work with wavefunctions which possess a very flexible geometry. This flexibility is especially important for calculations of atoms and…

Atomic Physics · Physics 2015-06-26 Mikhail V. Ivanov , Peter Schmelcher

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

For heavy atoms (large atomic number $Z$) described by no-pair operators in the Furry picture we find the ground state's leading energy correction. We compare the result with (semi-)empirical values and Schwinger's prediction showing more…

Mathematical Physics · Physics 2015-10-09 Michael Handrek , Heinz Siedentop

The m\alpha^6(m/M) order corrections to the hyperfine splitting in the H_2^+ ion are calculated. That allows to reduce uncertainty in the frequency intervals between hyperfine sublevels of a given rovibrational state to about 10 ppm.…

Atomic Physics · Physics 2009-05-12 V. I. Korobov , L. Hilico , J. -Ph. Karr