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

• Main Authors: Raduta, A. A, Aaron, F. D
• Format: Journal Article
• Language: English
• Published: 20-04-2007
• Subjects: Physics - Nuclear Theory
• DOI: 10.48550/arxiv.0704.2764

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.