Shell Model Description of Isotope Shifts in Calcium

Details Shell Model Description of Isotope Shifts in Calcium Shell Model Description of Isotope Shifts in Calcium

2001-02-20

arxiv.org/abs/nucl-th/0102047v1

Phys.Lett. B522 (2001) 240-244

Physics

Nuclear Physics

Nuclear Theory

4 pages, 4 figures included

Scientific paper

10.1016/S0370-2693(01)01246-1

Isotope shifts in the nuclear charge radius of even and odd calcium isotopes are calculated within the nuclear shell model. The model space includes all configurations of nucleons in the $2s, 1d_{3/2}, 1f_{7/2}, {\rm and} ~2p_{3/2}$ orbits. The shell model describes well the energies of the intruder states in Sc and Ca, as well as the energies of the low-lying $2^+$ and $3^-$ states in the even Ca isotopes. The characteristic features of the isotope shifts, the parabolic dependence on $A$ and the prominent odd-even staggering, are well reproduced by the model. These features are related to the partial breakdown of the $Z = 20$ shell closure caused by promotion, due to the neutron-proton interaction, of the $ds$ shell protons into the $fp$ shell.

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