Weak interaction of leptons and quarks in the quaternionic model

A gauge theory of quaternionic fields of spin 0, 1/2, and 1 is constructed in order to obtain a unified description of the weak and electromagnetic interactions of quarks and leptons. Just as the complex field in the Lagrangian is associated with the presence of the electric charge in the theory, the quaternionic field corresponds to an ''electroweak'' charge whose components form the SU(2)xU(1) algebra. The theory predicts a minimum of eight quarks (leptons) in the form of pairs of quartets of light and heavy particles and in addition to the neutral Higgs scalar h0 it also contains a complex doublet of scalars (/sup H/+/sub H/0). The GIM structure comes about naturally in the quark quartets and all the Glashow-Weinberg conditions for the natural conservation of quark flavors are satisfied. In the sector of the ''light'' quarks u, d, s, and c there is CP violation at the vertices of the interaction of the charged bosons H+- with the scalar quark currents. Because of the additional left-right symmetry of the Yukawa potential in the theory it is possible to calculate the Cabibbo angle and obtain good agreement with experiment