Semiclassical approximation for the isotopic shift of charge radii in Ca isotopes

Abstract

The peculiar behavior of the rms-charge and mass radii of the Ca isotopes is explained by current approaches. Here these approaches are supplemented by microscopic calculations within the isomorphic shell model. The model verifies the trend of the data correctly, as a result of shell structure (particle–hole) and deformation effects. These results involve two numerical (not adjustable) parameters and are quantitatively at least equally as good as those of the best available theoretical calculations. In the case of 41Ca, however, a further investigation is required.