Nuclear binding energies: Global collective structure and local shell-model correlations

Details Nuclear binding energies: Global collective structure and local shell-model correlations Nuclear binding energies: Global collective structure and local shell-model correlations

2001-03-27

arxiv.org/abs/nucl-th/0103070v2

Nucl.Phys. A697 (2002) 703-747

Physics

Nuclear Physics

Nuclear Theory

69 pages, TeX (ReVTeX). 23 eps figures. 1 table. Modified version. Accepted in Nucl. Phys. A

Scientific paper

10.1016/S0375-9474(01)01270-2

Nuclear binding energies and two-neutron separation energies are analyzed starting from the liquid-drop model and the nuclear shell model in order to describe the global trends of the above observables. We subsequently concentrate on the Interacting Boson Model (IBM) and discuss a new method in order to provide a consistent description of both, ground-state and excited-state properties. We address the artefacts that appear when crossing mid-shell using the IBM formulation and perform detailed numerical calculations for nuclei situated in the 50-82 shell. We also concentrate on local deviations from the above global trends in binding energy and two-neutron separation energies that appear in the neutron-deficient Pb region. We address possible effects on the binding energy, caused by mixing of low-lying $0^{+}$ intruder states into the ground state, using configuration mixing in the IBM framework. We also study ground-state properties using a deformed mean-field approach. Detailed comparisons with recent experimental data in the Pb region are amply discussed.

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