Abstract
Abstbact The probability for beta disintegrations as given by the Fermi theory are derived for the forbidden as well as for the permissible transitions. Two of the approximations made by Fermi are improved, and the results are obtained for both types of transition from the more accurate expressions. A function of the maximum energy and the decay constant, which the theory shows should be constant, is found to have a different order of magnitude for the two types of transition. This difference can be eliminated by (1) using a larger value for the nuclear radius than the one obtained from alpha disintegrations, or (2) using the Fermi form of interaction energy for the permissible transitions and a special type of Uhlenbeck and Konopinski interaction for the forbidden transitions. Either assumption is capable of giving fair agreement over all nine bodies considered by Fermi.
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