Kummer--Segre type models of the weak interaction

After some results of previously proposed models of the type first constructed by Kummer and Segre, whereby the weak interaction is considered to be the effect of an exchange of two massive spin-zero bosons in a renormalizable perturbation theory are reviewed, three new such models are considered. All three models use the introduction of quantum number charm to avoid strangeness changing neutral currents. The first two models, unlike all previously proposed models, do not involve the introduction of additional, as yet unseen, heavy leptons. In these models it is found to be necessary to make the coupling constants g1 and g2 strong and to have the mass of the spin-zero boson approximately 300 GeV or larger. A preliminary consideration of the effects of higher order interactions indicates that the use of perturbation theory is still meaningful for g2/4π approximately 1. If the experiments require that the neutral current contributing to the neutrino hadron interaction be pure isoscalar, the effective neutral current in the third model can easily be made SU(4) singlet at the expense of having to double the number of fermions in the theory and introducing a new absolutely conserved quantum number, ''weakness.''