Quadrupole Collective States in a Large Single-J Shell
K. Burzynski, J. Dobaczewski
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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