Higher Order Effects in theβDecay ofP32

Abstract

The assumption is made that the $\beta$ decay of ${\mathrm{P}}^{32}$ is $\Delta l$-forbidden. The effect of interferences between second forbidden matrix elements and the ($\Delta l$-reduced) allowed elements on the decay probability is presented. By using simple shell-model wave functions, an order of magnitude estimate of nuclear matrix elements is obtained. The resulting deviation of the energy spectrum from the allowed shape compares favorably with the experimental points of Porter, Wagner, and Freedman.