Mass matrix with symmetric mixing and a new parametrization of the Cabibbo-Kobayashi-Maskawa matrix

Dynamical symmetries in nuclear weak interactions

“…Finally, as for the microscopic nucleon structure, a supersymmetric analysis can be carried out in order to elucidate the mechanisms underlying the lepton-quark mass spectrum and the weak-interaction flavour mixing. A new parametrization of the Cabibbo, Kobayashi and Maskawa (CKM) matrix [8], with only one parameter, is obtained by means of an exponential approach which can be formulated in terms of interacting bosons and fermions (quarks) [9,10]. The resulting formalism is similar to the dynamical superalgebra [11] of the dressed Jaynes-Cummings model occurring in laser and atomic physics, and can be further extended to an arbitrary number of flavours; moreover, it is shown to reproduce the experimental values, including the CP violating phase value, within the present measurement accuracy.…”