Tensorial form and matrix elements of the relativistic nuclear recoil operator

Abstract

Within the lowest-order relativistic approximation ($\sim v^2/c^2$) and to first order in $m_e/M$, the tensorial form of the relativistic corrections of the nuclear recoil Hamiltonian is derived, opening interesting perspectives for calculating isotope shifts in the multiconfiguration Dirac-Hartree-Fock framework. Their calculation is illustrated for selected Li-, B- and C-like ions. The present work underlines the fact that the relativistic corrections to the nuclear recoil are definitively necessary for getting reliable isotope shift values.

arXiv comment22 pages, no figures, submitted to J. Phys. B

References in corpus (10)

• 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
• An efficient approach for spin-angular integrations in atomic structure calculations
• Program to calculate pure angular momentum coefficients in jj-coupling
• Relativistic recoil, electron-correlation, and QED effects on the 2p_j-2s transition energies in Li-like ions
• Isotope Shift Measurements of Stable and Short-Lived Lithium Isotopes for Nuclear Charge Radii Determination
• Tensorial form and matrix elements of the relativistic nuclear recoil operator
• Relativistic corrections to isotope shift in light ions
• Exploring Biorthonormal Transformations of Pair-Correlation Functions in Atomic Structure Variational Calculations
• Transition frequency shifts with fine-structure constant variation for Fe I. Isotope shift calculations in Fe I and Fe II

Cited by in corpus (16)

• Isotope Shifts in Beryllium-, Boron-, Carbon-, and Nitrogen-like Ions from Relativistic Configuration Interaction Calculations
• Tensorial form and matrix elements of the relativistic nuclear recoil operator
• Mass- and field-shift isotope parameters for the $2s-2p$ resonance doublet of lithium-like ions
• Deviations from Born-Oppenheimer mass scaling in spectroscopy and ultracold molecular physics
• Relativistic calculations of the isotope shifts in highly charged Li-like ions
• Relativistic calculations of X-Ray transition energies and isotope shifts in heavy atoms
• Multiconfiguration calculations of electronic isotope shift factors in Al I
• Multiconfiguration calculations of electronic isotope shift factors in Zn I
• Nuclear recoil effect on the binding energies in highly charged He-like ions
• Core correlation effects in multiconfiguration calculations of isotope shifts in Mg I
• Isotope shift on the chlorine electron affinity revisited by an MCHF/CI approach
• Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions
• Theoretical isotope shifts in neutral barium
• QED theory of the specific mass shift in atoms
• Atomic Parameters for the $2p^{5}3p{}^2[3/2{]}_2-2p^{5}3s{}^2[3/2{]}_2^o$ Transition of Ne I relevant in nuclear physics
• QED theory of the normal mass shift in few-electron atoms