Hunting for the $X_b$ via hidden bottomonium decays

Abstract

In this work, we study the isospin conserved hidden bottomonium decay of $X_b\to {\rm Y}(1S)\omega$, where $X_b$ is taken to be the counterpart of the famous $X(3872)$ in the bottomonium sector as a candidate for the meson-meson molecule. Since it is likely that the $X_b$ is below the $B{\bar{B}}^{\ast }$ threshold and the mass difference between the neutral and charged bottom meson is small compared to the binding energy of the $X_b$, the isospin violating decay mode $X_b\to {\rm Y}(nS){\pi }^{+}{\pi }^{-}$ would be greatly suppressed. We use the effective Lagrangian based on the heavy quark symmetry to explore the rescattering mechanism of $X_b\to {\rm Y}(1S)\omega$ and calculate the partial widths. Our results show that the partial width for the $X_b\to {\rm Y}(1S)\omega$ is about tens of keVs. Taking into account the fact that the total width of $X_b$ may be smaller than a few MeV like $X(3872)$, the calculated branching ratios may reach to orders of $10^{-2}$. These hidden bottomonium decay modes are of great importance in the experimental search for the $X_b$ particularly at the hadron collider. Also, the associated studies of hidden bottomonium decays $X_b\to {\rm Y}(nS)\gamma$, ${\rm Y}(nS)\omega$, and $B\bar{B}\gamma$ may help us investigate the structure of $X_b$ deeply. The experimental observation of $X_b$ will provide us with further insight into the spectroscopy of exotic states and is helpful to probe the structure of the states connected by the heavy quark symmetry.

9 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1402.6463

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Cited by in corpus (5)

• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• Weak Decays of Triply Heavy Tetraquarks $b\bar{c}b\bar{q}$
• Exploring the ${\rm Y}(4S,5S,6S)\to h_b(1P)\eta$ hidden-bottom hadronic transitions
• Study on the radiative decays of $h_c$ via intermediate meson loops model
• Evasion of HSR in the charmless decays of excited $P$-wave charmonia