Abstract
A schematic but systematic study is presented for p- and sd-shell nuclei to investigate the position of the first opposite-parity state relative to the ground state. This approach rests on the assumption that a probe using a dominant quadrupole-quadrupole interaction and observing the Pauli principle is sufficient to trace qualitatively the position of these states. It is argued that even if the SU (3) symmetry is broken, the lowest states in each shell have contributions from the dominant SU (3) states only, and therefore their relative energies are not influenced significantly by the mixing. It is shown that the global properties and trends of the above-mentioned energy difference are governed by the allowed SU (3) configurations including a pronounced odd-even staggering effect. In some regions, strongly prolate 2ℏω states are found to appear at energies comparable to that of 0ℏω states, indicating that in realistic calculations mixing to excited configurations might become important, and this can explain the anomalous properties of some neutron-rich nuclei. An analysis of the available quadrupole moments is also presented, and a qualitative agreement between calculated and experimental values is found.
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