$X(3872)$, $X_b$, and the ${\chi }_{b1}(3P)$ state

Abstract

We discuss the possible production and discovery channels in $e^{+}{e}^{-}$ and $pp$ machines of the $X_b$, the bottomonium counterpart of $X(3872)$ and the putative isoscalar analogue of the charged bottomonium-like states $Z_b$ discovered by Belle. We suggest that the $X_b$ may be close in mass to the bottomonium state ${\chi }_{b1}(3P)$, mixing with it and sharing its decay channels, just as $X(3872)$ is likely a mixture of a $\bar{D}{D}^{\ast }$ molecule and ${\chi }_{c1}(2P)$. Consequently, the experiments which reported observing ${\chi }_{b1}(3P)$ might have actually discovered the $X_b$, or a mixture of the two states.

10 pages, no figures, to be published in Phys. Rev. D. References and text added; misprints corrected

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Cited by in corpus (22)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Multiquark States
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• The QCD Dynamics of Tetraquark Production
• Threshold corrections of ${\chi }_{\mathrm{c}}(2P)$ and ${\chi }_{\mathrm{b}}(3P)$ states and $J/\psi \rho$ and $J/\psi \omega$ transitions of the $X(3872)$ in a coupled-channel model
• X(3872), I^G(J^{PC})=0^+(1^{++}), as the χ_{1c}(2P) charmonium
• Radiative Return Capabilities of a High-Energy, High-Luminosity $e^{+}{e}^{-}$ Collider
• Observation of the ${\chi }_{b1}$(3P) and ${\chi }_{b2}$(3P) and measurement of their masses
• The Dynamical Diquark Model: Fine Structure and Isospin
• Unquenched quark-model calculation of X(3872) electromagnetic decays
• X(3872): propagating in a dense medium
• The $c\bar{c}$ interaction above threshold and the radiative decay $X(3872)\to J/\psi \gamma$
• The nature of $Z_b$ states from a combined analysis of ${\rm Y}(5S)\to h_b(mP){\pi }^{+}{\pi }^{-}$ and ${\rm Y}(5S)\to B^{(\ast )}{\bar{B}}^{(\ast )}\pi$
• Does the bottomonium counterpart of $X(3872)$ exist?
• Bottomonium spectrum with a Dirac potential model in the momentum space
• Perspectives and Outlook from HEP Window on the Universe
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• Electroweak production of ${\chi }_{Q1}$ states in $e^{+}{e}^{-}$ collisions: A brief review
• Predictions for Bottomonium from a Relativistic Screened Potential Model
• Structure of $X_b$ from line shape analysis