Nuclear deformation effect on the binding energies in heavy ions

Details Nuclear deformation effect on the binding energies in heavy ions Nuclear deformation effect on the binding energies in heavy ions

2007-11-28

arxiv.org/abs/0711.4607v1

Phys. Rev. A 77, 032501 (2008)

Physics

Atomic Physics

19 pages, 5 tables

Scientific paper

10.1103/PhysRevA.77.032501

Nuclear deformation effects on the binding energies in heavy ions are investigated. Approximate formulas for the nuclear-size correction and the isotope shift for deformed nuclei are derived. Combined with direct numerical evaluations, these formulas are employed to reanalyse experimental data on the nuclear-charge-distribution parameters in $^{238}\textrm{U}$ and to revise the nuclear-size corrections to the binding energies in H- and Li-like $^{238}\textrm{U}$. As a result, the theoretical uncertainties for the ground-state Lamb shift in $^{238}\textrm{U}^{91+}$ and for the $2p_{1/2}-2s$ transition energy in $^{238}\textrm{U}^{89+}$ are significantly reduced. The isotope shift of the $2p_{j}-2s$ transition energies for $^{142}\textrm{Nd}^{57+}$ and $^{150}\textrm{Nd}^{57+}$ is also evaluated including nuclear size and nuclear recoil effects within a full QED treatment.

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