6533b86cfe1ef96bd12c8043

RESEARCH PRODUCT

Sensitivity of the isotope shift to the distribution of nuclear charge density

V. A. DzubaVictor V. FlambaumVictor V. Flambaum

subject

PhysicsProtonCenter (category theory)Charge densityField (mathematics)Radius01 natural sciencesEffective nuclear charge010305 fluids & plasmasDistribution (mathematics)0103 physical sciencesSensitivity (control systems)Atomic physics010306 general physics

description

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 $\ensuremath{\langle}{r}^{2}\ensuremath{\rangle}$. Relativistic corrections modify the expression for FIS, which is actually described by the change of $\ensuremath{\langle}{r}^{2\ensuremath{\gamma}}\ensuremath{\rangle}$, where $\ensuremath{\gamma}=\sqrt{1\ensuremath{-}{Z}^{2}{\ensuremath{\alpha}}^{2}}$. 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 center). Specifically, we investigate effects which cannot be completely reduced to the change of $\ensuremath{\langle}{r}^{2}\ensuremath{\rangle}$ or $\ensuremath{\langle}{r}^{2\ensuremath{\gamma}}\ensuremath{\rangle}$.

https://doi.org/10.1103/physreva.100.032511