Nonperturbative analysis of nuclear shape effects on the bound electron g factor

2018/06/01 by Niklas Michel, Jacek Zatorski, Natalia S. Oreshkina +1 · 12 citations
Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #Atomic physics #Bound state #Charge (physics) #Effective nuclear charge #Electron #Mathematical analysis #Mathematical physics #Mathematics #Neutron #Nuclear Physics and Applications #Nuclear physics #Nuclear physics research studies #Physics #Proton #Quantum mechanics #Upper and lower bounds #physics.atom-ph

paper · pdf · doi:10.1103/physreva.99.012505

published in Physical Review A 99(1) (American Physical Society) · 5 pages, 1 figure, 1 table

arxiv created 2018/06/01 · openalex created_date 2018/06/13 · openalex publication_date 2019/01/08 · arxiv updated 2019/01/16 · openalex updated_date 2026/08/05

Abstract

The theory of the g factor of an electron bound to a deformed nucleus is considered nonperturbatively 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.

Citations

• High-precision measurement of the atomic mass of the electron
• Nuclear Polarization Study: New Frontiers for Tests of QED in Heavy Highly Charged Ions
• Nuclear-Polarization Correction to the Bound-ElectrongFactor in Heavy Hydrogenlike Ions
• Complete two-loop correction to the bound-electrongfactor
• Nuclear deformation effect on the binding energies in heavy ions
• gfactor of an electron or muon bound by an arbitrary central potential
• gFactor of HydrogenlikeSi<mml:none/>13+<mml:mprescripts/><mml:none/>28