Can infinite multiplets be inferred from the weak decay rates?

Abstract

An algebraic model B describing symmetry breaking, which was considered in a previous paper for the mass spectrum problem, is applied to the weak decays K_l3, K_l2, π_l3, and π_l2. It gives constant form factors, ξ=1, and a suppression of the strangeness-changing decays (Cabibbo angles) of S_l2=0.28(tanθ_A^M) and S_l3=0.18(tanθ_V^M). The results also allow the determination of all parameters that characterize the representation of B and its spectrum-generating group SL(3,c), from which the infinite dimensionality of the multiplets can be inferred.