Sensitivity of isotope shift to distribution of nuclear charge density

Abstract

It is usually assumed that the field isotope shift (FIS) is completely determined by the change of the averaged squared values of the nuclear charge radius $⟨r^2⟩$. Relativistic corrections modify the expression for FIS, which is actually described by the change of $⟨r^{2\gamma }⟩$, where $\gamma =\sqrt{1-Z^2{\alpha }^2}$. In the present paper we consider corrections to FIS which are due to the nuclear deformation and due to the predicted reduced charge density in the middle of the superheavy nuclei produced by a very strong proton repulsion (hole in the nuclear centre). Specifically, we investigate effects which can not be completely reduced to the change of $⟨r^2⟩$ or $⟨r^{2\gamma }⟩$.

6 pages, 3 figures

References in corpus (5)

• Isotope shift, non-linearity of King plots and the search for new particles
• Central depression in nuclear density and its consequences for the shell structure of superheavy nuclei
• The formation of the heaviest elements
• Calculation of atomic spectra and transition amplitudes for superheavy element Db (Z=105)
• Theoretical study of electron structure of superheavy elements with an open $6d$-shell, Sg, Bh, Hs and Mt

Cited by in corpus (6)

• Recent progress in laser spectroscopy of the actinides
• Nuclear deformation as a source of the non-linearity of King plot in the Yb${}^{+}$ ion
• Nonlinearities of King's plot and their dependence on nuclear radii
• Second and fourth moments of the charge density and neutron-skin thickness of atomic nuclei
• Using isotope shift for testing nuclear theory: the case of nobelium isotopes
• Laser spectroscopy of indium Rydberg atom bunches by electric field ionization