Abstract
The energies and some other properties of low-lying levels in the oxygen isotopes are studied in the frame of a model including shell model and deformed states, as well as the interplay among them. The calculations are performed using the effective interaction method, and very good agreement with experiment is obtained. The results are compared with previous effective interaction calculations, and also with the predictions of phenomenological forces. Particular attention is given to the determination of the parameters and unperturbed positions of the deformed states. It is concluded that the influence of the deformed states is important in 18O, but their influence in 19O and 20O is small.
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