A mixing model for bottomoniumlike $Z_b$ resonances

Abstract

The isovector bottomoniumlike exotic resonances $Z_b(10610)$ and $Z_b(10650)$ are very close to the thresholds of heavy meson pairs $B{\bar{B}}^{\ast }(\bar{B}{B}^{\ast })$ and $B^{\ast }{\bar{B}}^{\ast }$, and are naturally understood as `molecular' states made of the corresponding meson-antimeson pairs. The picture with a full separation of the two channels cannot be exact and a cross-feed between the states necessarily takes place. A simple model is considered here describing the mixing between the channels in terms of one parameter. The model reasonably describes the current data on the decays of the $Z_b$ resonances to bottomonium plus a pion and predicts the rate and a distinctive interference pattern for the decay $Z_b(10650)\to B{\bar{B}}^{\ast }(\bar{B}{B}^{\ast })$ as well as excess of the mass splitting between the resonances over the mass difference between $B^{\ast }$ and $B$ mesons.

8 pages, 2 figures

References in corpus (2)

• Amplitude analysis of e+e- => Y(nS)pi+pi- at sqrt(s)=10.865 GeV
• Hidden-Beauty Charged Tetraquarks and Heavy Quark Spin Conservation

Cited by in corpus (1)

• Pentaquark and Tetraquark states