The Antisymmetrical Interaction in Beta-Decay Theory

Abstract

Forms of the beta-decay interaction are sought which are totally symmetric and totally antisymmetric to the interchange of any two of the particles involved in the emission. It is found that there is no symmetric interaction and one antisymmetric. The antisymmetric interaction allows transitions without change of parity and with a change of nuclear spin of either 0 or ±1, including $0\to 0$. First forbidden transitions entail a change of parity and $\Delta i=0\mathrm{}$, $\pm 1 or \pm 2$. Second forbidden transitions are characterized by $\Delta i=\pm 2,\pm 3$ and no change in parity. The contributions of electron-neutrino states of definite angular momenta are presented explicitly as an aid in the study of the influence of the nucleus on the light particle waves. The influence of the Coulomb field is discussed.