Non-perturbative analysis of nuclear shape effects on the bound electron g factor

Abstract

The theory of the g factor of an electron bound to a deformed nucleus is considered non-perturbatively and results are presented for a wide range of nuclei with charge numbers from Z=16 up to Z=98. We calculate the nuclear deformation correction to the bound electron g factor within a numerical approach and reveal a sizable difference compared to previous state-of-the-art analytical calculations. We also note particularly low values in the region of filled proton or neutron shells, and thus a reflection of the nuclear shell structure both in the charge and neutron number.

arXiv comment5 pages, 1 figure, 1 table

References in corpus (19)

• Nuclear Ground-State Masses and Deformations
• High-precision measurement of the atomic mass of the electron
• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Complete two-loop correction to the bound-electron g factor
• Nuclear deformation effect on the binding energies in heavy ions
• Evaluation of the self-energy correction to the g-factor of S states in H-like ions
• Finite nuclear size correction to the bound-electron g factor in a hydrogenlike atom
• The electron mass from $g$-factor measurements on hydrogen-like carbon ${}^{12}$C${}^{5+}$
• Nuclear polarization study: New frontiers for tests of QED in heavy highly charged ions
• The $g$-factor of light ions for an improved determination of the fine-structure constant
• Nuclear-polarization correction to the bound-electron g factor in heavy hydrogenlike ions
• Extraction of the electron mass from $g$ factor measurements on light hydrogenlike ions
• Light-by-light scattering in the Lamb shift and the bound electron g factor
• QED theory of the nuclear magnetic shielding in hydrogen-like ions
• Two-loop binding corrections to the electron gyromagnetic factor
• Two-loop QED corrections with closed fermion loops for the bound-electron g factor
• One-loop electron self-energy for the bound-electron $g$ factor
• Nuclear Shape Effect on the g Factor of Hydrogenlike Ions
• The $g$ factor of an electron or muon bound by an arbitrary central potential

Cited by in corpus (7)

• Direct Bound-Electron $g$ factor Difference Measurement with Coupled Ions
• Stringent test of QED with hydrogenlike tin
• Perspectives on testing fundamental physics with highly charged ions in Penning traps
• Testing Standard Model extensions with few-electron ions
• Skyrme-type nuclear interaction as a tool for calculating the finite nuclear size correction to atomic energy levels and the bound-electron $g$ factor
• Finite-nuclear-size effect in hydrogen-like ions with relativistic nuclear structure
• Two-loop virtual light-by-light scattering corrections to the bound-electron $g$ factor