Decay rate ratios of $\varUpsilon (5S)\to B{\bar{B}}$ reactions

Abstract

We calculate the decay rate ratios for OZI allowed decays of Upsilon(5S) to two B mesons by using the decay amplitudes which incorporate the wave function of the Upsilon(5S) state. We obtain the results that the branching ratio of the Upsilon(5S) decay to Bs* Bs*bar is much larger than the branching ratio to Bs Bs*bar or Bsbar Bs*, in good agreement with recent experimental results of CLEO and BELLE. This agreement with the experimental results is made possible since the nodes of the Upsilon(5S) radial wave function induce the nodes of the decay amplitude. We find that the results for the Upsilon(5S) decays to Bu(*) Bu(*)bar or Bd(*) Bd(*)bar pairs are dependent on the parameter values used for the potential between heavy quarks.