Abstract

Alpha-decay widths of SU/sub 3/, deformed oscillator and cluster model wave functions are calculated quantitatively for the ground band levels of /sup 8/ Be and the first K = 0- band levels of /sup 20/Ne. Tails of the reduced width amplitudes of these model wave functions are amended by two methods, of which one is to connect smoothly the inner original reduced width amplitude with the resonance tail given by the release energy of alpha particle, and the other is to apply the Green's-function method developed by Kawai and Yazaki for the calculation of the radial form factor for the stripping or pick up reactions. From comparisons of the calculated results with experiments It is concluded that the SU/sub 3/ model is insufficient to reproduce large alpha -decay widths. It is further shown that the deformed oscillator model is also considered to be inappropriate for the general explanation of the (rotational) levels with large cluster widths. From these consequences on SU/sub 3/ and deformed oscillator models and by the numerical confirmation that the cluster model wave functions can naturally reproduce the experiments consistently With the variational energy calculations, the importance of the molecular viewpoint in light nuclei is emphasized. (auth)

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