A simple description of the states $0^+$ and $2^+$ in $^{168}Er$

Details A simple description of the states $0^+$ and $2^+$ in $^{168}Er$ A simple description of the states $0^+$ and $2^+$ in $^{168}Er$

2007-04-20

arxiv.org/abs/0704.2764v1

J.Phys.G34:2053-2062,2007

Physics

Nuclear Physics

Nuclear Theory

9 pages, 5 figures

Scientific paper

10.1088/0954-3899/34/9/014

A sixth-order quadrupole boson Hamiltonian is used to describe 26 states $0^+$ and 67 states $2^+$ which have been recently identified in $^{168}Er$. Two closed expressions are alternatively used for energy levels. One corresponds to a semi-classical approach while the other one represents the exact eigenvalue of the model Hamiltonian. The semi-classical expression involves four parameters, while the exact eigenvalue is determined by five parameters. In each of the two descriptions a least square fit procedure is adopted. Both expressions provide a surprisingly good agreement with the experimental data.

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