Ground state hyperfine splitting in the Be${}^{+}$ ion

Abstract

Relativistic and QED corrections are calculated for the hyperfine splitting (hfs) in the $2S_{1/2}$ ground state of ${}^9$Be${}^{+}$ ions with an exact account for electronic correlations. The achieved accuracy is sufficient to determine the finite nuclear size effects from the comparison to the experimental hfs value. The obtained results establish the ground to determine the neutron halo in ${}^{11}$Be.

7 pages

References in corpus (14)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Theory of Light Hydrogenlike Atoms
• Ground state wave function and energy of the lithium atom
• Relativistic, QED, and finite nuclear mass corrections for low-lying states of Li and Be${}^{+}$
• Isotope Shift Measurements of Stable and Short-Lived Lithium Isotopes for Nuclear Charge Radii Determination
• Hyperfine structure of Li and Be^+
• Ground state of Li and Be${}^{+}$ using explicitly correlated functions
• Recursion relations for Hylleraas three-electron integral
• Ground state hyperfine splitting in ^6,7Li atoms and the nuclear structure
• Extended Hylleraas three-electron integral
• D1 and D2 lines in ${}^{6,7}$Li including QED effects
• Applications of four-body exponentially correlated functions
• Singular Hylleraas three-electron integrals
• Self-Energy Correction to the Hyperfine Splitting for Excited States

Cited by in corpus (6)

• Precision spectroscopy on ${}^9$Be overcomes limitations from nuclear structure
• Hyperfine structure of the $2{}^{3}P$ state in ${}^9$Be and the nuclear quadrupole moment
• Magnetic moments of short-lived nuclei with part-per-million accuracy: Towards novel applications of $\beta$-detected NMR in physics, chemistry and biology
• Nuclear magnetic shielding in heliumlike ions
• Detecting weak beryllium lines with CUBES
• Deformed Explicitly Correlated Gaussians