The alpha amplitudes are calculated for various low-lying positive parity states of ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$. It is shown that the results obtained from the oscillator with equal size parameter ($\omega ={\omega }^{\prime }$) are singular ones. They are, in general, not reproduced in the limit $\omega \to {\omega }^{\prime }$. The proper consideration of this point leads to new results. In particular, the SU(3) states $\left|\right(\lambda , \mu )〉$ with $\mu \ne 0$ may have nonvanishing alpha amplitudes.

NUCLEAR STRUCTURE $\alpha$-spectroscopic factor for ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$ states.

• Received 27 September 1982

DOI:https://doi.org/10.1103/PhysRevC.27.2930