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.

11 pages, 3 figures, 8 tables, published version

References in corpus (13)

• Constituent quark model study of the meson spectra
• Assignments of ${\Lambda }_Q$ and ${\Xi }_Q$ baryons in the heavy quark-light diquark picture
• Spectra of heavy mesons in the Bethe-Salpeter approach
• Systematics of heavy quarkonia from Regge trajectories on $(n,M^2)$ and $(M^2,J)$ planes
• Interpretation of $D_{sJ}(2632{)}^{+}$, $D_{s1}(2700{)}^{\pm }$, $D_{sJ}^{\star }(2860{)}^{+}$ and $D_{sJ}(3040{)}^{+}$
• Leptonic and Digamma decay Properties of S-wave quarkonia states
• Observation of the ${\rm Y}(1^3{D}_J)$ Bottomonium State through Decays to ${\pi }^{+}{\pi }^{-}{\rm Y}(1S)$
• 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
• Higher angular momentum states of bottomonium in lattice NRQCD
• Meson and glueball spectra with the relativistic flux tube model
• Regge Trajectories of Exotic Hadrons in the Flux Tube Model
• Relativistic corrections for two- and three-body flux tube model

Cited by in corpus (3)

• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• Regge Trajectories of Tetraquarks and Pentaquarks with Massive Quarks in the Flux Tube Model
• Hidden-bottom hadronic decays of ${\rm Y}(10753)$ with a ${\eta }^{(\prime )}$ or $\omega$ emission