Radiative and interelectronic-interaction corrections to the hyperfine splitting in highly charged B-like ions

Abstract

The ground-state hyperfine splitting values of high-Z boronlike ions are calculated. Calculation of the interelectronic-interaction contribution is based on a combination of the 1/Z perturbation theory and the large-scale configuration-interaction Dirac-Fock-Sturm method. The screened QED corrections are evaluated utilizing an effective screening potential approach. Total hyperfine splitting energies are presented for several B-like ions of particular interest: {}^{45}Sc{}^{16+}, {}^{57}Fe{}^{21+}, {}^{207}Pb{}^{77+}, and {}^{209}Bi{}^{78+}. For lead and bismuth the experimental values of the 1s hyperfine splitting are employed to improve significantly the theoretical results by reducing the uncertainty due to the nuclear effects.

12 pages, 2 figures, 3 tables

References in corpus (8)

• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Two-time Green function method in quantum electrodynamics of high-Z few-electron atoms
• Ground state hyperfine splitting of high Z hydrogenlike ions
• Relativistic calculations of isotope shifts in highly charged ions
• Magnetic-dipole transition probabilities in B-like and Be-like ions
• Relativistic and QED corrections to the g factor of Li-like ions
• Laser spectroscopy of hyperfine structure in highly-charged ions: a test of QED at high fields
• Hydrogen-like nitrogen radio line from hot interstellar and warm-hot intergalactic gas

Cited by in corpus (10)

• Ground-state hyperfine structure of H-, Li-, and B-like ions in middle-Z region
• Progress in quantum electrodynamics theory of highly charged ions
• Evaluation of the screened QED corrections to the g factor and the hyperfine splitting of lithiumlike ions
• Nuclear Shape Effect on the g Factor of Hydrogenlike Ions
• Ground-state $g$ factor of highly charged ${}^{229}$Th ions: an access to the M1 transition probability between the isomeric and ground nuclear states
• Evaluation of the screened vacuum-polarization corrections to the hyperfine splitting of Li-like bismuth
• Hyperfine interaction with the ${}^{229}$Th nucleus and its low lying isomeric state
• Hyperfine splitting in simple ions for the search of the variation of fundamental constants
• Ground-state hyperfine splitting of B-like ions in high-Z region
• Many-electron effects in the hyperfine splitting of lithiumlike ions