Abstract
The theory of α-decay is reformulated in order to point out the necessary approximations in a rigorous way. The connection between the formulas given byThomas and byMang is easily established.Mang's explicit expressions of reduced widths, valid for shell model wave functions, are brought into a general form.
The theory is applied to BCS wave functions and the decay constants of several Po-isotopes are calculated as an example. Furthermore results are presented which favour a spin assignmentI=18 and a predominating (h9/2) 28 (i11/2) 210 configuration for the Po212 isomeric state. The penetrabilities are calculated numerically, since the WKB-method is found to be unsatisfactory.
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This paper is to a large extent part of a thesis (Heidelberg 1962). Another part has already been published.
I wish to thank Professors J. H. D.Jensen and H. J.Mang for encouragement and stimulating discussions.
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Zeh, H.D. Contributions to the theory of alpha-decay. Z. Physik 175, 490–505 (1963). https://doi.org/10.1007/BF01375342
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DOI: https://doi.org/10.1007/BF01375342