Model-QED operator for superheavy elements

Abstract

The model-QED-operator approach [Phys. Rev. A 88, 012513 (2013)] to calculations of the radiative corrections to binding and transition energies in atomic systems is extended to the range of nuclear charges $110⩽Z⩽170$. The self-energy part of the model operator is represented by a nonlocal potential based on diagonal and off-diagonal matrix elements of the ab initio self-energy operator with the Dirac-Coulomb wave functions. The vacuum-polarization part consists of the Uehling contribution which is readily computed for an arbitrary nuclear-charge distribution and the Wichmann-Kroll contribution represented in terms of matrix elements similarly to the self-energy part. Performance of the method is studied by comparing the model-QED-operator predictions with the results of ab initio calculations. The model-QED operator can be conveniently incorporated in any numerical approach based on the Dirac-Coulomb-Breit Hamiltonian to account for the QED effects in a wide variety of superheavy elements.

arXiv comment14 pages, 2 figures, 15 tables

References in corpus (32)

• The DIRAC code for relativistic molecular calculations
• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Relativistic many-body calculations of energy levels, hyperfine constants, electric-dipole matrix elements and static polarizabilities for alkali-metal atoms
• 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
• The radiative potential method for calculations of QED radiative corrections to energy levels and electromagnetic amplitudes in many-electron atoms
• Model operator approach to the Lamb shift calculations in relativistic many-electron atoms
• Relativistic calculations of isotope shifts in highly charged ions
• Calculation of the Electron Self Energy for Low Nuclear Charge
• QED tests with highly-charged ions
• Electron and Nucleon Localization Functions of Oganesson: Approaching the Thomas-Fermi Limit
• Combining configuration interaction with perturbation theory for atoms with large number of valence electrons
• QED calculation of the 2p3/2-2p1/2 transition energy in five-electron ion of argon
• Atomic many-body effects and Lamb shifts in alkali metals
• Progress in quantum electrodynamics theory of highly charged ions
• QED shifts in multivalent heavy ions
• Photoionization of metastable heliumlike C4+(1s 2s 3S1) ions: Precision study of intermediate doubly excited states
• Relativistic configuration-interaction calculations of energy levels of the $1s^{2}2l$ and $1s2l2l^{\prime }$ states in lithium-like ions: carbon through chlorine
• Approaching meV level for transition energies in the radium monofluoride molecule RaF and radium cation Ra${}^{+}$ by including quantum-electrodynamics effects
• High-precision measurements of $n=2\to n=1$ transition energies and level widths in He- and Be-like Argon Ions
• Stringent tests of QED using highly charged ions
• Atomic structure calculations of super heavy noble element oganesson (Z=118)
• Vacuum polarization calculations for hydrogenlike and alkalilike ions
• Complex scaled relativistic configuration-interaction study of the $LL$ resonances in helium-like ions: from Boron to Argon
• Relativistic calculations of the ground and inner-L-shell excited energy levels of berylliumlike ions
• Electron affinity of oganesson
• QED corrections to the ${}^2{P}_{1/2}-{}^2{P}_{3/2}$ fine structure in fluorinelike ions: model Lamb shift operator approach
• Ab initio calculations of energy levels in Be-like xenon: strong interference between electron-correlation and QED effects
• Ionization potentials and electron affinities of Rg, Cn, Nh, and Fl superheavy elements
• Ionization potentials and electron affinity of oganesson
• QED calculation of the $2p$ fine structure in Li-like ions
• Multiple-ionization energy difference of 163Ho and 163Dy atoms

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• Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions
• Revisited nuclear magnetic dipole and electric quadrupole moments of polonium isotopes
• Ab initio study of electronic states and radiative properties of the AcF molecule
• Atomic Bethe logarithm in the mean-field approximation
• Isotope-shift factors with quantum electrodynamics effects for many-electron systems: A study of the nuclear charge radius of ${}^{26m}$Al
• Relativistic coupled cluster calculations of the electron affinity and ionization potentials of lawrencium
• QED calculations of the E1 transition amplitude in neon-like iron and nickel
• Finite-Basis-Set Approach to the Two-Center Heteronuclear \\ Dirac Problem
• Effective quantum electrodynamics: One-dimensional model of the relativistic hydrogen-like atom
• On the bottom-up construction of many-electron relativistic QED Hamiltonian