Relativistic, QED, and finite nuclear mass corrections for low-lying states of Li and Be${}^{+}$

Abstract

Accurate results for nonrelativistic energy, relativistic, QED, and finite nuclear mass corrections are obtained for $2^1{S}_{1/2}$, $3^1{S}_{1/2}$ and $2^1{P}_{1/2}$ states of the Li atom and Be${}^{+}$ ion. Our computational approach uses the Hylleraas basis set with the analytic integration and recursion relations. From comparison of experimental results for the isotope shifts to theoretical predictions including nuclear polarizabilities, we obtain nuclear charge radii for Li and Be isotopes.

19 pages, 8 tables, Phys. Rev. A in print

References in corpus (7)

• Ground state wave function and energy of the lithium atom
• ${\alpha }^4$ Ry corrections to singlet states of helium
• Improved theory of helium fine structure
• Helium energy levels including $m{\alpha }^6$ corrections
• Effective-range approach and scaling laws for electromagnetic strength in neutron-halo nuclei
• Nuclear vector polarizability correction to hyperfine splitting
• Singular Hylleraas three-electron integrals

Cited by in corpus (5)

• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• Charge radii and electromagnetic moments of Li and Be isotopes from the ab initio no-core shell model
• Ground state of Li and Be${}^{+}$ using explicitly correlated functions
• Fine and hyperfine splitting of the 2P state in Li and Be${}^{+}$
• Calculations of polarizabilities and hyperpolarizabilities for the Be${}^{+}$ ion