Sum rule for the partial decay rates of bottom hadrons based on the dynamical supersymmetry of the <math><mover><mi>s</mi><mo>¯</mo></mover></math> quark and the <math><mi>u</mi><mi>d</mi></math> diquark

We investigate the weak decays of B&#175;s0 and Λb to charm hadrons based on the dynamical supersymmetry between the s&#175; quark and the ud diquark. We derive a new sum rule relating the decay rates of the processes B&#175;s0→Ds+P−, B&#175;s0→Ds*+P−, and Λb→ΛcP−, where P− is a negatively charged meson, such as π− and K−. It is found that the observed decay rates satisfy the sum rule very well. This implies that the supersymmetry between the s&#175; quark and the ud diquark is also seen in the wave functions of the heavy hadrons and suggests that the ud diquark can be regarded as a valid effective constituent for heavy hadrons.