Nuclear deformation effect on the binding energies in heavy ions

2007/11/28 by Y. S. Kozhedub, O. V. Andreev, V. M. Shabaev +7 · 100 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Atomic physics #Binding energy #Deformation (meteorology) #Effective nuclear charge #Electron #Energy (signal processing) #Ion #Isotope #Lamb shift #Nuclear physics #Nuclear physics research studies #Physics #Quantum mechanics #Recoil #physics.atom-ph

paper · pdf · doi:10.1103/physreva.77.032501

published in Physical Review A 77(3) (American Physical Society) · 19 pages, 5 tables

arxiv created 2007/11/28 · openalex publication_date 2008/03/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Nuclear deformation effects on the binding energies in heavy ions are investigated. Approximate formulas for the nuclear-size correction and the isotope shift for deformed nuclei are derived. Combined with direct numerical evaluations, these formulas are employed to reanalyze experimental data on the nuclear-charge-distribution parameters in ²³⁸U and to revise the nuclear-size corrections to the binding energies in H- and Li-like ²³⁸U. As a result, the theoretical uncertainties for the ground-state Lamb shift in ²³⁸U⁹¹⁺ and for the 2p_1/2\ensuremath-2s transition energy in ²³⁸U⁸⁹⁺ are significantly reduced. The isotope shift of the 2p_j\ensuremath-2s transition energies for ¹⁴²Nd⁵⁷⁺ and ¹⁵⁰Nd⁵⁷⁺ is also evaluated including nuclear size and nuclear recoil effects within a full QED treatment.

Citations

• Relativistic calculations of isotope shifts in highly charged ions
• Isotope Shift in the Dielectronic Recombination of Three-ElectronNd<mml:none/>57+<mml:mprescripts/><mml:none/>A
• Two-time Green's function method in quantum electrodynamics of high-Z few-electron atoms
• Magnetic-dipole transition probabilities in B-like and Be-like ions
• QED theory of the nuclear recoil effect in atoms

Cited by

• Nonperturbative analysis of nuclear shape effects on the bound electron g factor
• Ab initio Calculations of Energy Levels in Be-Like Xenon: Strong Interference between Electron-Correlation and QED Effects
• Theoretical prediction of the fine and hyperfine structure of heavy muonic atoms