Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2008-10-20
J.Phys.G36:055101,2009
Physics
Nuclear Physics
Nuclear Theory
27pages, 18 figures
Scientific paper
10.1088/0954-3899/36/5/055101
A sixth-order quadrupole boson Hamiltonian is used to describe the states $0^+$ and $2^+$ identified in several nuclei by various types of experiments. Two alternative descriptions of energy levels are proposed. One corresponds to a semi-classical approach of the model Hamiltonian while the other one provides the exact eigenvalues. Both procedures yield close formulas for energies. The first procedure involves four parameters, while the second involves a compact formula with five parameters. In each case the parameters are fixed by a least-square fit procedure. Applications are performed for eight even-even nuclei. Both methods yield results which are in a surprisingly good agreement with the experimental data. We give also our predicted reduced transition probabilities within the two approaches, although the corresponding experimental data are not yet available.
Aaron Francisc D.
de Guerra Moya E.
Faessler Amand
Raduta A. A.
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