Decay Rate Ratios of Upsilon(5S) to B Bbar Reactions

TL;DR

This paper calculates decay rate ratios for Upsilon(5S) to B meson pairs, showing that the decay to Bs* Bs*bar is dominant, aligning with experimental data, and highlights the influence of wave function nodes on decay amplitudes.

Contribution

It provides a theoretical calculation of decay ratios for Upsilon(5S) decays incorporating wave function nodes, explaining experimental observations and dependence on potential parameters.

Findings

Decay to Bs* Bs*bar is significantly larger than to Bs Bs*bar.

Wave function nodes influence decay amplitude patterns.

Decay results depend on heavy quark potential parameters.

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.