Abstract

In the present work, we investigate the production mechanism of the $Z_b(10610)$ and $Z_b(10650)$ states from the $\Upsilon(5S,6S)$ decays. Two types of bottom-meson loops are discussed. We show that the loop contributions with all intermediate states being the $S$-wave ground state bottom mesons are negligible, while the loops with one bottom meson being the broad $B_0^\ast$ or $B_1^\prime$ resonance could provide the dominant contributions to the $\Upsilon(5S) \to Z_b^{(\prime)} \pi$. It is found that such a mechanism is not suppressed by the large width of the $B_0/B_1'$ resonance. In addition, we also estimate the branching ratios for the $\Upsilon(6S) \to Z_b^{(\prime)} \pi$ which could be tested by future precise measurements at Belle-II.

Highlights

  • In the past decade, a growing number of new hadron states have been observed, which are dubbed as XYZ states in the heavy quarkonium mass regions

  • We show that the loop contributions with all intermediate states being the S-wave ground state bottom mesons are negligible, while the loops with one bottom meson being the broad BÃ0 or B01 resonance could provide the dominant contributions to the Υð5SÞ → Zðb0Þπ

  • The bottom-meson loops should be important for the production of the Zb states

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Summary

INTRODUCTION

A growing number of new hadron states have been observed, which are dubbed as XYZ states in the heavy quarkonium mass regions (for recent reviews, we refer to Refs. [1,2,3,4,5,6,7,8,9,10]). We denote the velocity as vA and one has vA 1⁄4 0.12–0.14, which indicates that the corresponding amplitudes could be analyzed in a nonrelativistic framework Both the Υð5SÞBðÃÞBðÃÞ and BÃBðÃÞπ vertices are P-wave couplings. In these kinds of meson loops, all of the involved interaction vertices are S-wave coupling. Oð30Þ; ð3Þ assuming NA ∼ NB which is reasonable as long as all the couplings take natural values This means that the contribution from the B01BðÃÞ=BÃ0B à þ c:c: meson loops should be much larger than that from the S-wave bottom mesons, and can potentially lead to a large rate for the Zðb0Þ productions from the Υð5SÞ decays

Effective Lagrangian
Numerical results and discussion
The ΓB01 h determined
Findings
SUMMARY

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