Abstract
We define an optimal truncated Bohr eigenfunction basis in terms of which one may expand the eigenfunctions of any collective Hamiltonian, $H$, having the same degrees of freedom. In principle, determination of this optimal basis would require repeated diagonalization of $H$. Therefore, we present a method for approximating the optimal basis which is sufficient for most purposes. This method requires only diagonal matrix elements of $H$ and the solution of a modest-order polynomial equation. Twenty-three examples of the Gneuss-Greiner collective Hamiltonian are used to test the method.NUCLEAR STRUCTURE Collective models; optimal expansion basis.
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