Tensorial form and matrix elements of the relativistic nuclear recoil operator

Details Tensorial form and matrix elements of the relativistic nuclear recoil operator Tensorial form and matrix elements of the relativistic nuclear recoil operator

2011-06-10

arxiv.org/abs/1106.1988v1

Physics

Atomic Physics

22 pages, no figures, submitted to J. Phys. B

Scientific paper

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.

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