Quadrupole-collective states in a large single-<i>j</i>shell

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 a 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.