Nuclear deformation effect on the binding energies in heavy ions

Abstract

Nuclear deformation effects on the binding energies in heavy ions are investigated. Approximate formulas for the nuclear-size correction and the isotope shift for deformed nuclei are derived. Combined with direct numerical evaluations, these formulas are employed to reanalyse experimental data on the nuclear-charge-distribution parameters in ${}^{238}\text{U}$ and to revise the nuclear-size corrections to the binding energies in H- and Li-like ${}^{238}\text{U}$. As a result, the theoretical uncertainties for the ground-state Lamb shift in ${}^{238}{\text{U}}^{91+}$ and for the $2p_{1/2}-2s$ transition energy in ${}^{238}{\text{U}}^{89+}$ are significantly reduced. The isotope shift of the $2p_j-2s$ transition energies for ${}^{142}{\text{Nd}}^{57+}$ and ${}^{150}{\text{Nd}}^{57+}$ is also evaluated including nuclear size and nuclear recoil effects within a full QED treatment.

19 pages, 5 tables

References in corpus (15)

• Two-time Green function method in quantum electrodynamics of high-Z few-electron atoms
• QED calculation of the n=1 and n=2 energy levels in He-like ions
• Relativistic nuclear recoil corrections to the energy levels of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$
• Relativistic calculations of isotope shifts in highly charged ions
• Isotope shift in the dielectronic recombination of three-electron ^{A}Nd^{57+}
• QED theory of the nuclear recoil effect in atoms
• Two-loop self-energy correction in high-Z hydrogen-like ions
• Magnetic-dipole transition probabilities in B-like and Be-like ions
• Non-perturbative calculation of the two-loop Lamb shift in Li-like ions
• Recoil correction to the ground state energy of hydrogenlike atoms
• QED treatment of electron correlation in Li-like ions
• Nuclear recoil corrections to the $2p_{\frac{3}{2}}$ state energy of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$
• QED Effects in Heavy Few-Electron Ions
• QED calculation of the 2p1/2-2s and 2p3/2-2s transition energies and the ground-state hyperfine splitting in lithiumlike scandium
• Renormalization of the two-photon vacuum polarization and the self energy vacuum polarization for a tightly bound electron

Cited by in corpus (50)

• Search for New Physics with Atoms and Molecules
• Highly charged ions: optical clocks and applications in fundamental physics
• QED tests with highly-charged ions
• Relativistic recoil, electron-correlation, and QED effects on the 2p_j-2s transition energies in Li-like ions
• Heavy-Ion Storage Rings and Their Use in Precision Experiments with Highly Charged Ions
• Nuclear Physics Experiments with Ion Storage Rings
• Nuclear polarization study: New frontiers for tests of QED in heavy highly charged ions
• Progress in quantum electrodynamics theory of highly charged ions
• Nuclear size correction to the Lamb shift of one-electron atoms
• Relativistic calculations of the charge-transfer probabilities and cross sections for low-energy collisions of H-like ions with bare nuclei
• QED calculation of the ground-state energy of berylliumlike ions
• Nuclear effects in atomic transitions
• Isotope Shifts in Beryllium-, Boron-, Carbon-, and Nitrogen-like Ions from Relativistic Configuration Interaction Calculations
• Two-loop QED corrections with closed fermion loops
• Hyperfine structure of Li and Be^+
• Mass- and field-shift isotope parameters for the $2s-2p$ resonance doublet of lithium-like ions
• Observation of the 2p3/2 -> 2s1/2 intra-shell transition in He-like uranium
• Stringent tests of QED using highly charged ions
• Nuclear Shape Effect on the g Factor of Hydrogenlike Ions
• Relativistic calculations of the isotope shifts in highly charged Li-like ions
• The effect of realistic nuclear charge distributions on isotope shifts and towards the extraction of higher order nuclear radial moments
• Ground-state ionization energies of boronlike ions
• Parity nonconservation effect with laser-induced 2^3S_1 - 2^1S_0 transition in heavy heliumlike ions
• Ionization energies along beryllium isoelectronic sequence
• Relativistic calculations of the ground and inner-L-shell excited energy levels of berylliumlike ions
• QED calculations of the $n=2$ to $n=1$ x-ray transition energies in middle-$Z$ heliumlike ions
• Isotope shifts of the 2$p_{3/2}$-2$p_{1/2}$ transition in B-like ions
• Relativistic calculations of X-Ray transition energies and isotope shifts in heavy atoms
• Ab initio calculations of energy levels in Be-like xenon: strong interference between electron-correlation and QED effects
• QED calculation of electron-electron correlation effects in heliumlike ions
• Theoretical prediction of the Fine and Hyperfine structure of heavy muonic atoms
• Using isotope shift for testing nuclear theory: the case of nobelium isotopes
• Nuclear recoil effect on the binding energies in highly charged He-like ions
• Nuclear-size self-energy and vacuum-polarization corrections to the bound-electron g factor
• Parity nonconservation in radiative recombination of electrons with heavy hydrogenlike ions
• Higher-order corrections for the dynamic hyperfine structure of muonic atoms
• Interelectronic-interaction effects on the two-photon decay rates of heavy He-like 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
• Calculation of Araki-Sucher correction for many-electron systems
• Ab initio calculations of the $2p_{3/2}\to 2s$ transition in He-, Li-, and Be-like uranium
• Finite-nuclear-size effect in hydrogen-like ions with relativistic nuclear structure
• Non-perturbative analysis of nuclear shape effects on the bound electron g factor
• Ab initio MCDHF calculations of the In and Tl electron affinities and their isotope shifts
• Isotope shifts of the $1s^{2}2s2p(J)$ -$1s^{2}2s^2$ transition energies in Be-like thorium and uranium
• Parity nonconservation effect in resonance recombination of polarized electrons with heavy hydrogenlike ions
• Relativistic calculations of the U91+(1s)-U92+ collision using the finite basis set of cubic Hermite splines on a lattice in coordinate space
• QED calculations of the $2p$-$2s$ transition energies in Li-like ions
• Complex-scaled ab initio QED approach to autoionizing states
• Investigation of two-photon 2s -> 1s decay in one-electron and one-muon ions
• Improvement of the Basis for the Solution of the Dirac Equation in Cassini Coordinates