Bottomonium spectrum in the relativistic flux tube model

Abstract

The bottomonium spectrum is far from being established. The structures of higher vector states, including the ${\rm Y}(10580)$, ${\rm Y}(10860)$, and ${\rm Y}(11020)$ states, are still in dispute. In addition, whether the ${\rm Y}(10750)$ signal which was recently observed by the Belle Collaboration is a normal $b\bar{b}$ state or not should be examined. Faced with such a situation, we carried out a systematic investigation of the bottomonium spectrum in the scheme of the relativistic flux tube (RFT) model. A Chew-Frautschi like formula was derived analytically for the spin average mass of bottomonium states. We further incorporated the spin-dependent interactions and obtained a complete bottomonium spectrum. We found that the most established bottomonium states can be explained in the RFT scheme. The ${\rm Y}(10750)$, ${\rm Y}(10860)$, and ${\rm Y}(11020)$ could be predominantly the $3^3{D}_1$, $5^3{S}_1$, and $4^3{D}_1$ states, respectively. Our predicted masses of $1F$ and $1G$ $b\bar{b}$ states are in agreement with the results given by the method of lattice QCD, which can be tested by experiments in future. We also compared the RFT model with the quark potential model in detail. The differences of these two kinds of models were discussed.

arXiv comment11 pages, 3 figures, 8 tables, published version

References in corpus (65)

• Higher Charmonia
• The Belle II Physics Book
• Constituent quark model study of the meson spectra
• Spectroscopy and Regge trajectories of heavy quarkonia and B_c mesons
• Bottomonium Mesons and Strategies for Their Observation
• Observation of the bottomonium ground state in the decay Upsilon(3S) -> gamma eta_b
• First observation of the P-wave spin-singlet bottomonium states h_b(1P) and h_b(2P)
• Assignments of ${\Lambda }_Q$ and ${\Xi }_Q$ baryons in the heavy quark-light diquark picture
• Bottomonium spectrum revisited
• Observation of a new chi_b state in radiative transitions to Upsilon(1S) and Upsilon(2S) at ATLAS
• $Q\bar{Q}$ ($Q\in \{b,c\}$) spectroscopy using Cornell potential
• Evidence for the eta_b(1S) Meson in Radiative Upsilon(2S) Decay
• Spectra of heavy mesons in the Bethe-Salpeter approach
• Spectrum and electromagnetic transitions of bottomonium
• Bottomonium Spectrum with Screened Potential
• Study of the $D^{0}p$ amplitude in ${\Lambda }_b^0\to D^{0}p{\pi }^{-}$ decays
• Evidence for the eta_b(2S) and observation of h_b(1P) -> eta_b(1S) gamma and h_b(2P) -> eta_b(1S) gamma
• First Observation of a Upsilon(1D) State
• Higher bottomonium zoo
• Observation of new resonances in the ${\Lambda }_b^0{\pi }^{+}{\pi }^{-}$ system
• Meson spectrum in Regge phenomenology
• The restriction on the strong coupling constant in the IR region from the 1D-1P splitting in bottomonium
• Measurement of the eta_b(1S) mass and the branching fraction for Upsilon(3S) --> gamma eta_b(1S)
• Coupled-Channel Effects for the Bottomonium with Realistic Wave Functions
• Prediction of the bottomonium D-wave spectrum from full lattice QCD
• Systematics of heavy quarkonia from Regge trajectories on $(n,M^2)$ and $(M^2,J)$ planes
• Observation of a narrow mass state decaying into Upsilon(1S) + gamma in ppbar collisions at sqrt(s) = 1.96 TeV
• The 2^-+ assignment for the X(3872)
• Bottomonium Spectrum with Coupled-Channel Effects
• Interpretation of $D_{sJ}(2632{)}^{+}$, $D_{s1}(2700{)}^{\pm }$, $D_{sJ}^{\star }(2860{)}^{+}$ and $D_{sJ}(3040{)}^{+}$
• 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
• Leptonic and Digamma decay Properties of S-wave quarkonia states
• Observation of the ${\rm Y}(1^3{D}_J)$ Bottomonium State through Decays to ${\pi }^{+}{\pi }^{-}{\rm Y}(1S)$
• Evidence for the h_b(1P) meson in the decay Upsilon(3S) --> pi0 h_b(1P)
• Vector hidden-bottom tetraquark candidate: $Y(10750)$
• Measurement of the ${\chi }_b(3P)$ mass and of the relative rate of ${\chi }_{b1}(1P)$ and ${\chi }_{b2}(1P)$ production
• Perturbative heavy quarkonium spectrum at next-to-next-to-next-to-leading order
• Study of hadronic transitions between Y states and observation of Y(4S)-> eta Y(1S) decay
• On the possibility to observe higher $n^3{D}_1$ bottomonium states in the $e^{+}{e}^{-}$ processes
• Bottomonium-like states: physics case for energy scan above the $B\bar{B}$ threshold at Belle-II
• First observation of the hadronic transition ${\rm Y}(4S)\to \eta h_b(1P)$ and new measurement of the $h_b(1P)$ and ${\eta }_b(1S)$ parameters
• Observation of a new structure near 10.75 GeV in the energy dependence of the $e^{+}{e}^{-}\to {\rm Y}(nS){\pi }^{+}{\pi }^{-}$ ($n=1,2,3$) cross sections
• Observation of eta_b(2S) in Upsilon(2S) -> gamma eta_b(2S), eta_b(2S) -> hadrons, and Confirmation of eta_b(1S)
• Three-body relativistic flux tube model from QCD Wilson-loop approach
• Study of ${\chi }_b$ meson production in pp collisions at $\sqrt{s}=7$ and 8TeV and observation of the decay ${\chi }_b\to {\rm Y}(3S)\gamma$
• Higher angular momentum states of bottomonium in lattice NRQCD
• Meson and glueball spectra with the relativistic flux tube model
• Lagrange mesh, relativistic flux tube, and rotating string
• Free-form smearing for bottomonium and B meson spectroscopy
• Radial and orbital Regge trajectories in heavy quarkonia
• Regge-like spectra of excited singly heavy mesons
• Analysis of the heavy quarkonium states $h_c$ and $h_b$ with QCD sum rules
• Reduction of the QCD string to a time component vector potential
• Fermion Confinement by a Relativistic Flux Tube
• Study of radiative bottomonium transitions using converted photons
• Auxiliary fields and the flux tube model
• A flux tube model for glueballs
• Quark self-energy and relativistic flux tube model
• D and D_s in mass loaded flux tube
• How the small hyperfine splitting of P-wave mesons evades large loop corrections
• Search for Bottomonium States in Exclusive Radiative Upsilon(2S) Decays
• Relativistic corrections for two- and three-body flux tube model
• Regge Trajectories of Exotic Hadrons in the Flux Tube Model
• On the mass and decay constant of the P-wave ground and radially excited $h_c$ and $h_b$ axial-vector mesons
• Properties of bottomonium in a relativistic quark model

Cited by in corpus (18)

• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical 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
• Identification of newly observed singly charmed baryons using relativistic flux tube model
• 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
• 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
• Bottomonium spectroscopy motivated by general features of pNRQCD
• Hidden-bottom hadronic transitions of ${\rm Y}(10753)$
• Status and Prospects of Exotic Hadrons at Belle II
• Bottomonia in an unquenched quark model
• Measurements of the branching fractions of semileptonic $D_s^{+}$ decays via $e^{+}{e}^{-}\to D_s^{\ast +}{D}_s^{\ast -}$
• Spectroscopy of heavy-heavy flavour mesons and annihilation widths of quarkonia
• Regge Trajectories of Tetraquarks and Pentaquarks with Massive Quarks in the Flux Tube Model
• Predictions for Bottomonium from a Relativistic Screened Potential Model
• Exotic hadrons associated with $b$-quark
• Hidden-bottom hadronic decays of ${\rm Y}(10753)$ with a ${\eta }^{(\prime )}$ or $\omega$ emission
• Search for $e^{+}{e}^{-}\to \gamma {\chi }_{bJ}$ ($J$ = 0, 1, 2) near $\sqrt{s}=10.746$ GeV at Belle II
• 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