Abstract
The generator-coordinate method is applied to the study of the three-..cap alpha..-particle system. The choice of the basis functions allows us to calculate the ..cap alpha..+ /sup 8/Be phase shifts. We perform a comparison between the full three-cluster approach and two of its approximations. Distortion effects are shown to be important in the spectroscopic properties of /sup 12/C. We present the /sup 8/Be(..cap alpha..,..gamma..) /sup 12/C S factor derived in the three-..cap alpha..-particle model. At low temperatures, the reaction rate is found to be slightly different from earlier studies.
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