Nuclear recoil corrections to the $2p_{\frac{3}{2}}$ state energy of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$

Abstract

The relativistic nuclear recoil corrections to the energy of the $2p_{\frac{3}{2}}$ state of hydrogen-like and the $(1s{)}^{2}2p_{\frac{3}{2}}$ state of high $Z$ lithium-like atoms in all orders in $\alpha Z$ are calculated. The calculations are carried out using the B-spline method for the Dirac equation. For low $Z$ the results of the calculation are in good agreement with the $\alpha Z$ -expansion results. It is found that the total nuclear recoil contribution to the energy of the $(1s{)}^{2}2p_{\frac{3}{2}}-(1s{)}^{2}2s$ transition in lithium-like uranium constitutes $-0.09eV$.

12 pages, latex, Submitted to Journal of Physics B

References in corpus (1)

• Relativistic nuclear recoil corrections to the energy levels of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$

Cited by in corpus (35)

• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Highly charged ions: optical clocks and applications in fundamental physics
• 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 calculations of isotope shifts in highly charged ions
• Recoil correction to the bound-electron g factor in H-like atoms to all orders in $\alpha Z$
• QED theory of the nuclear recoil effect in atoms
• Nuclear deformation effect on the binding energies in heavy ions
• Relativistic recoil, electron-correlation, and QED effects on the 2p_j-2s transition energies in Li-like ions
• Electron Self Energy for the K and L Shell at Low Nuclear Charge
• Non-perturbative calculation of the two-loop Lamb shift in Li-like ions
• QED theory of the nuclear recoil effect on the atomic g factor
• Recoil correction to the ground state energy of hydrogenlike atoms
• QED treatment of electron correlation in Li-like ions
• Nuclear recoil effect in the Lamb shift of light hydrogen-like atoms
• Relativistic calculations of the isotope shifts in highly charged Li-like ions
• Relativistic calculations of the ground and inner-L-shell excited energy levels of berylliumlike ions
• QED calculation of the 2p1/2-2s and 2p3/2-2s transition energies and the ground-state hyperfine splitting in lithiumlike scandium
• QED Effects in Heavy Few-Electron Ions
• Isotope shifts of the 2$p_{3/2}$-2$p_{1/2}$ transition in B-like ions
• QED theory of the nuclear recoil with finite size
• Nuclear recoil corrections to the Lamb shift of hydrogen and light hydrogen-like ions
• Nuclear recoil effect on the binding energies in highly charged He-like ions
• Finite nuclear size corrections to the recoil effect in hydrogenlike ions
• Two-loop QED corrections in few-electron ions
• Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions
• QED theory of the specific mass shift in atoms
• Screened self-energy correction to the 2p3/2-2s transition energy in Li-like ions
• QED calculation of the $2p$ fine structure in Li-like ions
• QED calculations of the nuclear recoil effect in muonic atoms
• QED theory of the normal mass shift in few-electron atoms
• Isotope shifts of the $1s^{2}2s2p(J)$ -$1s^{2}2s^2$ transition energies in Be-like thorium and uranium
• QED calculations of the $2p$-$2s$ transition energies in Li-like ions
• Complex-scaled ab initio QED approach to autoionizing states
• Comprehensive Assessment of ${\mathrm{Th}}^{3+}$ Properties for Nuclear Clock and Fundamental Physics Applications