Weak decay of heavy hadrons based on the dynamical supersymmetry of anti s quark and ud diquark

We focus on the symmetry of diquarks in order to study their properties in heavy hadrons. In particular, we focus on the ud good diquark which has spin-0 and color anti-triplet. Comparing ud diquarks and anti s quarks, they have masses of about 500 MeV and the same color structure. Therefore, following the SU(3) flavor symmetry, the ud diquark and the anti s quark are symmetric under strong interactions. This symmetry is a dynamical supersymmetry described by V(3) algebra. Adapting this to charm or bottom hadrons yields a degeneracy of {D⁺_{s ,} D^+*_s , Λ_c} or {anti B⁰_s , anti B^0*_s , Λ_b}. By taking into account V(3) symmetry breaking and spin-spin interaction, mass formula for these hadron is obtained.

In this study, we focus on the weak decay of heavy hadrons in order to investigate the symmetry of the quark wavefunction in these heavy hadrons. For example, if anti s quark and ud diquark are spectators, for the three decay processes Λ_b → Λ_c π^- and anti B⁰_s → D^+(*)_s π^- the V(3) symmetry allows us to write the decay amplitudes in the same form except for the spin transitions. Therefore, we can derive a relationship equation which include the effect of mass symmetry breaking that holds between the decay rates of these three decay processes. The equation reproduces the experimental data well. We will make the same argument comprehensively for decay processes for which experimental decay rates are available.