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.

arXiv comment8 pages, 2 figures

References in corpus (14)

• Hadronic molecules
• Observation of two charged bottomonium-like resonances in Y(5S) decays
• Heavy quark spin structure in Z_b resonances
• Heavy Quark Symmetry Predictions for Weakly Bound B-Meson Molecules
• Tetraquark Interpretation of the Charged Bottomonium-like states Z_b^+-(10610) and Z_b^+-(10650) and Implications
• Study of e+e- => B(*) B(*)-bar pi+- at sqrt(s)=10.866 GeV
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• Hybridized Tetraquarks
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• First Observation of the Zb0(10610) in a Dalitz Analysis of Y(5S) -> Y(nS) pi0 pi0
• Hidden-Beauty Charged Tetraquarks and Heavy Quark Spin Conservation
• Heavy quark spin symmetry breaking in near-threshold $J^{PC}=1^{--}$ quarkonium-like resonances
• Light Quark Spin Symmetry in $Z_b$ Resonances?
• Sum rules for interaction of ${\rm Y}$ resonances with $Z_b\pi$

Cited by in corpus (5)

• Pentaquark and Tetraquark states
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• Zb tetraquark channel from lattice QCD and Born-Oppenheimer approximation
• Tetraquark systems $\bar{b}b\bar{d}u$ in the static limit and lattice QCD
• Radiative and $\rho$ transitions between heavy quarkonium and isovector four-quark states