Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model

Abstract

The lightest hidden-bottom tetraquarks in the dynamical diquark model fill an $S$-wave multiplet consisting of 12 isomultiplets. We predict their masses and dominant bottomonium decay channels using a simple 3-parameter Hamiltonian that captures the core fine-structure features of the model, including isospin dependence. The only experimental inputs needed are the corresponding observables for $Z_b(10610)$ and $Z_b(10650)$. The mass of $X_b$, the bottom analogue to $X(3872)$, is highly constrained in this scheme. In addition, using lattice-calculated potentials we predict the location of the center of mass of the $P$-wave multiplet and find that $Y(10860)$ fits well but the newly discovered $Y(10750)$ does not, more plausibly being a $D$-wave bottomonium state. Using similar methods, we also examine the lowest $S$-wave multiplet of 6 $c\bar{c}s\bar{s}$ states, assuming as in earlier work that $X(3915)$ and $Y(4140)$ are members, and predict the masses and dominant charmonium decay modes of the other states. We again use lattice potentials to compute the centers of mass of higher multiplets, and find them to be compatible with the masses of $Y(4626)$ ($1P$) and $X(4700)$ ($2S$), respectively.

15 pages, 2 .pdf figures, Small revisions to the Reference section. Version accepted to appear in Physical Review D

References in corpus (41)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Exotics: Heavy Pentaquarks and Tetraquarks
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• A New Picture for the Formation and Decay of the Exotic $XYZ$ Mesons
• Four-quark exotic mesons
• Where is the χ_{c0}(2P)?
• Employing spin symmetry to disentangle different models for the XYZ states
• The $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$ in the relativized quark model
• $X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners
• Is the X(3915) the chi_{c0}(2P)?
• Interpretation of Axial Resonances in J/psi-phi at LHCb
• The Dynamical Diquark Model: First Numerical Results
• Canonical description of the new LHCb resonances
• Observation of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0{\chi }_{bJ}$ and search for $X_b\to \omega {\rm Y}(1S)$ at $\sqrt{s}\sim 10.867$ GeV
• Searching for the Bottom Counterparts of X(3872) and Y(4260) via ${\pi }^{+}{\pi }^{-}{\rm Y}$
• Tetraquark state candidates: $Y(4140)$, $Y(4274)$ and $X(4350)$
• Analysis of the mass and width of the $Y(4274)$ as axialvector molecule-like state
• Mass spectra for $qc\bar{q}\bar{c}$, $sc\bar{s}\bar{c}$, $qb\bar{q}\bar{b}$, $sb\bar{s}\bar{b}$ tetraquark states with $J^{PC}=0^{++}$ and $2^{++}$
• Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state
• Bottomonium spectrum in the relativistic flux tube model
• Spectroscopy of Exotic Hadrons Formed from Dynamical Diquarks
• How to understand the underlying structures of $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$
• Observation of a vector charmoniumlike state in $e^{+}{e}^{-}\to D_s^{+}{D}_{s1}(2536{)}^{-}+c.c.$
• Interpretation of $Y_b(10750)$ as a tetraquark and its production mechanism
• $X(3915)$ as a $D_s{\bar{D}}_s$ bound state
• The Spectrum of $P$-Wave Hidden-Charm Exotic Mesons in the Diquark Model
• Analysis of the hidden-bottom tetraquark mass spectrum with the QCD sum rules
• Search for the $X_b$ and other hidden-beauty states in the ${\pi }^{+}{\pi }^{-}{\rm Y}(1\mathrm{S})$ channel at ATLAS
• Relativistic model of hidden bottom tetraquarks
• $X(3872)$, $X_b$, and the ${\chi }_{b1}(3P)$ state
• Reanalysis of the $X(3915)$, $X(4500)$ and $X(4700)$ with QCD sum rules
• Evidence for a vector charmonium-like state in $e^{+}{e}^{-}\to D_s^{+}{D}_{s2}^{\ast }(2573{)}^{-}+c.c.$
• Hunting for the $X_b$ via hidden bottomonium decays
• Where are ${\chi }_{cJ}(3P)$?
• Investigation of $cs\bar{c}\bar{s}$ tetraquark in the chiral quark model
• Quark structure of the ${\chi }_{\mathrm{c}}(3P)$ and $X(4274)$ resonances and their strong and radiative decays
• Reanalysis of the $X(4140)$ as axialvector tetraquark state with QCD sum rules
• The XYZ mesons: what they aren't
• Comment on the X(3915) nonstandard hadron candidate
• LHCb measurements of the exotic tetraquark candidate ${\chi }_{c1}(3872)$ in high-multiplicity $pp$ and $p$Pb collisions

Cited by in corpus (27)

• The Simple Spectrum of $c\bar{c}c\bar{c}$ States in the Dynamical Diquark Model
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Hidden charm tetraquark states in a diquark model
• Computation of the quarkonium and meson-meson composition of the ${\rm Y}(nS)$ states and of the new ${\rm Y}(10753)$ Belle resonance from lattice QCD static potentials
• Fine Structure of Pentaquark Multiplets in the Dynamical Diquark Model
• Spectroscopy of all charm tetraquark states
• Configuration mixing in strange tetraquarks $Z_{cs}$
• NLO results with operator mixing for fully heavy tetraquarks in QCD sum rules
• Observation of $e^{+}{e}^{-}\to \omega {\chi }_{bJ}(1P)$ and search for $X_b\to \omega {\rm Y}(1S)$ at $\sqrt{s}$ near 10.75 GeV
• Where are $3P$ and higher $P-$wave states in the charmonium family?
• Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method
• Heavy hybrid decays to quarkonia
• Study of $I=0$ bottomonium bound states and resonances in $S$, $P$, $D$ and $F$ waves with lattice QCD static-static-light-light potentials
• The interplay between compact and molecular structures in tetraquarks
• Doubly-Charged $T_{cc}^{++}$ States in the Dynamical Diquark Model
• Hidden-bottom hadronic transitions of ${\rm Y}(10753)$
• Exotic Hadrons from Scattering in the Diabatic Dynamical Diquark Model
• Status and Prospects of Exotic Hadrons at Belle II
• Radiative Transitions of Charmoniumlike Exotics in the Dynamical Diquark Model
• $\lambda$ and $\rho$ Regge trajectories for hidden bottom and charm tetraquarks $(Qq)(\bar{Q}{\bar{q}}^{\prime })$
• The ground states of hidden-charm tetraquarks and their radial excitations
• All Heavy Tetraquarks: The Dynamical Diquark Model and Other Approaches
• Looking for a vector charmonium-like state $Y$ in $e^{+}{e}^{-}\to \bar{D}{D}_1(2420)+c.c.$
• Spectrum of Hidden-Charm, Open-Strange Exotics in the Dynamical Diquark Model
• Exotic hadrons associated with $b$-quark
• Improved measurement of Born cross sections for ${\chi }_{bJ}\omega$ and ${\chi }_{bJ}({\pi }^{+}{\pi }^{-}{\pi }^0{)}_{\mathrm{non}-\omega }$ ($J$ = 0, 1, 2) at Belle and Belle II
• Search for $e^{+}{e}^{-}\to \gamma {\chi }_{bJ}$ ($J$ = 0, 1, 2) near $\sqrt{s}=10.746$ GeV at Belle II