Decays and productions via bottomonium for Z_b resonances and other B anti-B molecules

Abstract

We discuss decays and productions for the possible molecular states formed by bottom mesons B (B*) and anti-B (anti-B*). The twin resonances found by Belle, Zb(10610) and Zb(10650), are such candidates. The spin wave functions of the molecular states are rearranged into those of heavy and light spin degrees of freedom by using the re-coupling formulae of angular momentum. By applying the heavy quark symmetry we derive model independent relations among various decay and production rates, which can be tested in experiments.