On the Beta-Gamma-Angular Correlation

Abstract

The angular distributions for the components of a line in a $\beta$-transition are exhibited for use in obtaining numerical values for the angular correlation between successive nuclear beta- and gamma-radiations. The calculations are made with each of the five linearly independent electron-neutrino interactions (assuming $Z=0\mathrm{}$ for allowed, first and second forbidden $\beta$-transitions. In general, the theory yields an angular correlation for forbidden $\beta$-transitions which will vary with the interaction and the degree of forbiddenness, and thus affords a means of disintinguishing between these. It is shown that no angular correlation is to be expected whenever, (a) the $\beta$-transition is allowed, (b) the transition is classified as forbidden but has an allowed energy spectrum, (c) only the low energy $\beta$-particles are counted.