Study of $I=0$ bottomonium bound states and resonances in $S$, $P$, $D$ and $F$ waves with lattice QCD static-static-light-light potentials

Abstract

In this paper we study $I=0$ bottomonium in $S$, $P$, $D$ and $F$ waves considering five coupled channels, one confined quarkonium and four open $B^{(\ast )}{\bar{B}}^{(\ast )}$ and $B_s^{(\ast )}{\bar{B}}_s^{(\ast )}$ meson-meson channels. To this end we use and extend a recently developed novel approach utilizing lattice QCD string breaking potentials for the study of quarkonium bound states and resonances. This approach is based on the Born Oppenheimer approximation and the unitary emergent wave method and allows to compute the poles of the $\mbox{T}$ matrix. We compare our results to existing experimental results for $I=0$ bottomonium and discuss masses, decay widths and the assignment of angular momentum quantum numbers. Moreover, we determine the quarkonium and meson-meson composition of these states to clarify, which of them are ordinary quarkonium, and which of them should rather be interpreted as tetraquarks.

arXiv comment18 pages, 9 figures, 3 tables, a few additional references added

References in corpus (66)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV
• The $XYZ$ states: experimental and theoretical status and perspectives
• Study of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Observation of a Charged Charmonium-like State at Belle
• Effective field theories for heavy quarkonium
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• Observation of two charged bottomonium-like resonances in Y(5S) decays
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Observation of a charged charmoniumlike structure Z_c(4020) and search for the Z_c(3900) in e+e- to pi+pi-h_c
• Observation of an exotic narrow doubly charmed tetraquark
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• Observation of String Breaking in QCD
• Observation of the Charged Hadron $Z_c^{\pm }(3900)$ and Evidence for the Neutral $Z_c^0(3900)$ in $e^{+}{e}^{-}\to \pi \pi J/\psi$ at $\sqrt{s}=4170$ MeV
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• Observation of a charged (DD*bar)- mass peak in e+e- --> pi+ (DD*bar)- at Ecm=4.26 GeV
• A low-lying scalar meson nonet in a unitarized meson model
• Observation of a charged charmoniumlike structure in $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }{\pi }^{\mp }$ at $\sqrt{s}=4.26$GeV
• Fine Structure of the QCD String Spectrum
• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• Ab Initio Study of Hybrid b-bar-gb Mesons
• Observation of new resonances decaying to $J/\psi K^{+}$ and $J/\psi \varphi$
• Born-Oppenheimer Approximation for the XYZ Mesons
• Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory
• Observation of a near-threshold structure in the $K^{+}$ recoil-mass spectra in $e^{+}{e}^{-}\to K^{+}(D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0)$
• Model-independent study of structure in $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decays
• Observation of a new charged charmoniumlike state in B -> J/psi K pi decays
• Experimental constraints on the spin and parity of the Z(4430)+
• Nonperturbative determination of the QCD potential at O(1/m)
• Gluon excitations of the static quark potential and the hybrid quarkonium spectrum
• The QCD Potential at $O(1/m)$
• QCD phenomenology of static sources and gluonic excitations at short distances
• Dalitz analysis of B --> K pi psi' decays and the Z(4430)+
• Quarkonium Hybrids with Nonrelativistic Effective Field Theories
• The QCD potential at O(1/m^2): Complete spin-dependent and spin-independent result
• Lattice QCD signal for a bottom-bottom tetraquark
• Determination of the pole position of the lightest hybrid meson candidate
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• Heavy quarkonium hybrids from Coulomb gauge QCD
• Confirmation of a charged charmoniumlike state $Z_c(3885{)}^{\mp }$ in $e^{+}{e}^{-}\to {\pi }^{\pm }(D{\bar{D}}^{\ast }{)}^{\mp }$ with double $D$ tag
• String breaking by light and strange quarks in QCD
• Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials
• Different pole structures in line shapes of the $X(3872)$
• Heavy Quarkonium Hybrids: Spectrum, Decay and Mixing
• Precision computation of hybrid static potentials in SU(3) lattice gauge theory
• Scalar Resonance Contributions to the Dipion Transition Rates of ${\rm Y}(4S,5S)$ in the re-scattering model
• Tetraquark bound states in the heavy-light heavy-light system
• Evidence for an ${\eta }_c(1S){\pi }^{-}$ resonance in $B^0\to {\eta }_c(1S)K^{+}{\pi }^{-}$ decays
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• QCD spin effects in the heavy hybrid potentials and spectra
• A model-independent confirmation of the $Z(4430{)}^{-}$ state
• Heavy quark spin symmetry breaking in near-threshold $J^{PC}=1^{--}$ quarkonium-like resonances
• Bottomonium spectrum in the relativistic flux tube 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
• Vector hidden-bottom tetraquark candidate: $Y(10750)$
• Diabatic description of charmonium-like mesons
• Strong decays and dipion transitions of Upsilon(5S)
• Hybrid static potentials in SU(3) lattice gauge theory at small quark-antiquark separations
• Bottomonium resonances with $I=0$ from lattice QCD correlation functions with static and light quarks
• Interpretation of $Y_b(10750)$ as a tetraquark and its production mechanism
• 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
• ${\rm Y}(nl)$ decay into $B^{(\ast )}{\bar{B}}^{(\ast )}$
• Diabatic description of bottomoniumlike mesons
• Heavy meson thresholds in Born-Oppenheimer Effective field theory
• Flux tubes and string breaking in three dimensional SU(2) Yang-Mills theory
• Coupled-channel meson-meson scattering in the diabatic framework

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