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

J.Phys.G34:2053-2062,2007 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 othe...

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Bibliographic Details
Main Authors Raduta, A. A, Aaron, F. D
Format Journal Article
LanguageEnglish
Published 20.04.2007
Subjects
Physics - Nuclear Theory
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Summary:J.Phys.G34:2053-2062,2007 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.
DOI:10.48550/arxiv.0704.2764