Quadrupole Collective States in a Large Single-J 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 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.

Comments: submitted for publication in Phys. Rev. C, revtex, 28 pages, 15 PostScript figures available on request from burzynsk@fuw.edu.pl, preprint No. IFT/17/94