Hydrogen and hydrogen-like-ion bound states and hyperfine splittings: finite nuclear size effects}

• URL: http://arxiv.org/abs/2302.06288v2
• Date: Mon, 5 Jun 2023 17:44:27 GMT
• Title: Hydrogen and hydrogen-like-ion bound states and hyperfine splittings: finite nuclear size effects}
• Authors: Igor Kuzmenko, Tetyana Kuzmenko, Y. Avishai, Y. B. Band
• Abstract summary: Three models for the charge distribution and the magnetic moment distribution within the nucleus are considered. FNS corrections to the ground-state energy are shown to be smaller than the electron-nucleus reduced mass corrections. FNS corrections to the ground state hyperfine splitting are comparable in size to the relativistic QED radiative corrections for light nuclei, but are larger for heavy nuclei.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Using the Dirac equation, we study corrections to electron binding energies and hyperfine splittings of atomic hydrogen and hydrogen-like ions due to finite nuclear size (FNS) effects, relativistic QED radiative corrections and nuclear recoil corrections. Three models for the charge distribution and the magnetic moment distribution within the nucleus are considered. Calculations are carried for light atoms (H, He and K) and heavy atoms (Rb, Cs, Pb, Bi, U). The FNS corrections to the ground-state energy are shown to be smaller than the electron-nucleus reduced mass corrections, and comparable to the relativistic QED radiative corrections for the light nuclei, but much larger than both these corrections for heavy nuclei. Comparison is made with an experiment on the $1s$-$2s$ transition frequency for hydrogen. FNS corrections to the ground state hyperfine splitting are comparable in size to the relativistic QED radiative corrections for light nuclei, but are larger for heavy nuclei.

Related papers

• Effective light-induced Hamiltonian for atoms with large nuclear spin [0.0]
  Coupling with off-resonance light is an essential tool to selectively and coherently manipulate the nuclear spin states. We present a systematic derivation of the effective Hamiltonian for the nuclear spin states of ultra-cold fermionic atoms due to such an off-resonance light.
  arXiv  Detail & Related papers  (2024-04-18T18:00:01Z)
• Comparing the effects of nuclear and electron spins on the formation of neutral hydrogen molecule [0.0]
  We introduce the association-dissociation model of neutral hydrogen molecule. The motion of the nuclei can be represented in quantum form. Consideration is also given to the effects of nuclear and electron spins on the formation of neutral hydrogen molecule.
  arXiv  Detail & Related papers  (2023-03-18T13:18:18Z)
• Study of the Klein--Gordon equation for a hydrogenic model of dyons [0.0]
  This article presents the generalization of a zero spin hydrogen atom to a relativistic atomic model of hydrogen with dyons. The derivation of the Klein--Gordon equation for the particle of relative motion is shown. The charge density of the orbiting dyon is presented.
  arXiv  Detail & Related papers  (2022-10-28T14:01:54Z)
• Tests of physics beyond the Standard Model with single-electron ions [0.0]
  A highly effective approach to the search for hypothetical new interactions through isotope shift spectroscopy of hydrogen-like ions is presented. A weighted difference of the g factor and ground-state energy is shown to assist in the suppression of detrimental uncertainties from nuclear structure.
  arXiv  Detail & Related papers  (2022-02-03T16:29:45Z)
• Relativistic aspects of orbital and magnetic anisotropies in the chemical bonding and structure of lanthanide molecules [60.17174832243075]
  We study the electronic and ro-vibrational states of heavy homonuclear lanthanide Er2 and Tm2 molecules by applying state-of-the-art relativistic methods. We were able to obtain reliable spin-orbit and correlation-induced splittings between the 91 Er2 and 36 Tm2 electronic potentials dissociating to two ground-state atoms.
  arXiv  Detail & Related papers  (2021-07-06T15:34:00Z)
• Anisotropic electron-nuclear interactions in a rotating quantum spin bath [55.41644538483948]
  Spin-bath interactions are strongly anisotropic, and rapid physical rotation has long been used in solid-state nuclear magnetic resonance. We show that the interaction between electron spins of nitrogen-vacancy centers and a bath of $13$C nuclear spins introduces decoherence into the system. Our findings offer new insights into the use of physical rotation for quantum control with implications for quantum systems having motional and rotational degrees of freedom that are not fixed.
  arXiv  Detail & Related papers  (2021-05-16T06:15:00Z)
• Energy interval 3S-1S in muonic hydrogen [0.0]
  The energy interval $ (3S-1S) $ in muonic hydrogen is calculated on the basis of quasipotential approach in quantum electrodynamics. We take into account different corrections of orders $alpha3div alpha6 $, which are determined by relativistic effects, the effects of vacuum polarization, nuclear structure and recoil.
  arXiv  Detail & Related papers  (2020-10-14T19:58:36Z)
• A multiconfigurational study of the negatively charged nitrogen-vacancy center in diamond [55.58269472099399]
  Deep defects in wide band gap semiconductors have emerged as leading qubit candidates for realizing quantum sensing and information applications. Here we show that unlike single-particle treatments, the multiconfigurational quantum chemistry methods, traditionally reserved for atoms/molecules, accurately describe the many-body characteristics of the electronic states of these defect centers.
  arXiv  Detail & Related papers  (2020-08-24T01:49:54Z)
• Electrically tuned hyperfine spectrum in neutral Tb(II)(Cp$^{\rm{iPr5}}$)$_2$ single-molecule magnet [64.10537606150362]
  Both molecular electronic and nuclear spin levels can be used as qubits. In solid state systems with dopants, an electric field was shown to effectively change the spacing between the nuclear spin qubit levels. This hyperfine Stark effect may be useful for applications of molecular nuclear spins for quantum computing.
  arXiv  Detail & Related papers  (2020-07-31T01:48:57Z)
• Resonant high-energy bremsstrahlung of ultrarelativistic electrons in the field of a nucleus and a pulsed light wave [68.8204255655161]
  Research investigates the resonant high-energy spontaneous bremsstrahlung of ultrarelativistic electrons with considerable energies in the field of a nucleus and a quasimonochromatic laser wave.
  arXiv  Detail & Related papers  (2020-04-05T16:27:11Z)
• Hyperfine and quadrupole interactions for Dy isotopes in DyPc$_2$ molecules [77.57930329012771]
  Nuclear spin levels play an important role in understanding magnetization dynamics and implementation and control of quantum bits in lanthanide-based single-molecule magnets. We investigate the hyperfine and nuclear quadrupole interactions for $161$Dy and $163$Dy nucleus in anionic DyPc$.
  arXiv  Detail & Related papers  (2020-02-12T18:25:31Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.