Abstract
In this chapter introduced are \(SU(3) \supset SO(3)\) integrity basis operators \(X_3\) and \(X_4\), their relation to the shape parameters \(\beta \) and \(\gamma \), the connection between SU(3) and triaxial rotor and definition of operators in terms of \(X_3\) and \(X_4\) that give in an asymptotic limit the K and \(K_J\) quantum numbers. All these are employed in particular in the shell model related SU(3) models for spectroscopy of deformed rare-earth and actinide nuclei.
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