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Quadrupole Collective States in a Large Single-J Shell

K. Burzynski·J. Dobaczewski
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Abstract

We discuss the ability of the generator coordinate method (GCM) to select collective states in microscopic calculations. The model studied is a single-$j$ shell with hamiltonian containing the quadrupole-quadrupole interaction. Quadrupole collective excitations are constructed by means of the quadrupole single-particle operator. Lowest collective bands for $j$=31/2 and particle numbers $N$=4,6,8,10,12, and $14$ are found. For lower values of $j$, exact solutions are obtained and compared with the GCM results.

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K. Burzynski, J. Dobaczewski. 1994-10-21. Quadrupole Collective States in a Large Single-J Shell. https://doi.org/10.1103/physrevc.51.1825

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