Theory of Vector Interactions in Nuclear Beta Decay

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Abstract
In a previous work the Siegert theorem was extended to vector interactions in nuclear beta decays on the basis of the conserved vector current hypothesis. It was already shown that the experimental data of RaE are consistent with the conserved vector current hypothesis. The purpose of this note is to give the general formulae for arbitrary order of forbidden transitions, since it is highly desirable to investigate as many other non-unique forbidden beta decays as possible. Through this note the validity of non-relativistic approximation is assumed for the motion of nucleons in nuclei, so that our formalism is completely analogous to the conventional theory of nuclear radiative transitions.

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