Non-perturbative calculation of the two-loop Lamb shift in Li-like ions

Abstract

A calculation valid to all orders in the nuclear-strength parameter is presented for the two-loop Lamb shift, notably for the two-loop self-energy correction, to the 2p-2s transition energies in heavy Li-like ions. The calculation removes the largest theoretical uncertainty for these transitions and yields the first experimental identification of two-loop QED effects in the region of the strong binding field.

References in corpus (14)

• Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants
• Relativistic nuclear recoil corrections to the energy levels of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$
• Nonrelativistic QED approach to the Lamb shift
• Two-loop self-energy correction in high-Z hydrogen-like ions
• CORRECTIONS OF ORDER ${\alpha }^2(Z\alpha {)}^5$ TO HYPERFINE SPLITTING AND LAMB SHIFT
• Two-Loop Bethe Logarithms
• Logarithmic two-loop corrections to the Lamb shift in hydrogen
• Two-loop self-energy correction in H-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 $\alpha Z$
• Two-loop self-energy contribution to the Lamb shift in H-like ions
• Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited Hydrogenic States
• Two-Loop Self-Energy Corrections to the Fine-Structure
• Evaluation of the two-photon exchange diagrams for the $(1s{)}^{2}2p_{3/2}$ electron configuration in Li-like ions
• Screened self-energy correction to the 2p3/2-2s transition energy in Li-like ions

Cited by in corpus (36)

• QED tests with highly-charged ions
• Nuclear deformation effect on the binding energies in heavy ions
• QED and relativistic corrections in superheavy elements
• Relativistic recoil, electron-correlation, and QED effects on the 2p_j-2s transition energies in Li-like ions
• QED treatment of electron correlation in Li-like ions
• Observation of the hyperfine transition in lithium-like Bismuth ${}^{209}{\text{Bi}}^{80+}$: Towards a test of QED in strong magnetic fields
• Atomic physics studies at the Gamma Factory at CERN
• Progress in quantum electrodynamics theory of highly charged ions
• QED shifts in multivalent heavy ions
• QED calculation of the ground-state energy of berylliumlike ions
• Two-loop QED corrections with closed fermion loops
• Relativistic configuration-interaction calculations of energy levels of the $1s^{2}2l$ and $1s2l2l^{\prime }$ states in lithium-like ions: carbon through chlorine
• The two-loop self-energy for the ground state of medium-Z hydrogen-like ions
• Observation of the 2p3/2 -> 2s1/2 intra-shell transition in He-like uranium
• Relativistic configuration-interaction calculation of energy levels of core-excited states in lithium-like ions: argon through krypton
• Energy levels of core-excited $1s2l2l^{\prime }$ states in lithium-like ions: argon to uranium
• Two-loop self-energy in the Lamb shift of the ground and excited states of hydrogen-like ions
• 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
• QED calculations of the $n=2$ to $n=1$ x-ray transition energies in middle-$Z$ heliumlike ions
• QED calculation of the 2p1/2-2s and 2p3/2-2s transition energies and the ground-state hyperfine splitting in lithiumlike scandium
• Ab initio calculations of energy levels in Be-like xenon: strong interference between electron-correlation and QED effects
• Theory of the two-loop self-energy correction to the $\mathbf{g}$ factor in non-perturbative Coulomb fields
• The two-loop self-energy: diagrams in the coordinate-momentum representation
• Nuclear recoil effect on the binding energies in highly charged He-like ions
• Parity nonconservation in radiative recombination of electrons with heavy hydrogenlike ions
• Two-loop electron self-energy for low nuclear charges
• Ab initio calculations of the $2p_{3/2}\to 2s$ transition in He-, Li-, and Be-like uranium
• QED calculation of the $2p$ fine structure in Li-like ions
• Redefined vacuum approach and gauge-invariant subsets in two-photon-exchange diagrams for a closed-shell system with a valence electron
• Two-loop electron self-energy with accelerated partial-wave expansion
• Two-Loop Effects and Current Status of the 4He+ Lamb Shift
• QED calculations of the $2p$-$2s$ transition energies in Li-like ions
• Insight into the prospective evaluation of third-order interelectronic corrections on Li-like ions
• Two-loop electron self-energy in bound-electron $g$ factor: diagrams in momentum-coordinate representation