QCD Multipole Expansion and Hadronic Transitions in Heavy Quarkonium Systems

Abstract

We review the developments of QCD multipole expansion and its applications to hadronic transitions and some radiative decays of heavy quarkonia. Theoretical predictions are compsred with updated experimental results.

arXiv comment23 pages, 7 figures. Some typos corrected, and 3 references added

References in corpus (9)

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• Electromagnetic Moments of the Baryon Decuplet
• First Observation of a Upsilon(1D) State
• Evidence of psi(3770) non-DD-bar Decay to J/psi pi+pi-
• Psi(2S) -> pi^+ pi^- J/psi Decay Distributions
• S-D Mixing and Searching for the psi(1P1) State at the Beijing Electron-Positron Coolider
• ψ(2S) Decays into $\J$ plus Two Photons
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• Scalar Dipion States Produced in Heavy Quarkonium Decays and the Final State Interaction

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• Heavy quarkonium: progress, puzzles, and opportunities
• The Physics of the B Factories
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• Quarkonia and their transitions
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• Bottomonium Mesons and Strategies for Their Observation
• Effect of charmed meson loops on charmonium transitions
• Bottomonium spectrum revisited
• Implications of heavy quark spin symmetry on heavy meson hadronic molecules
• Tetraquark interpretation of the BELLE data on the anomalous ${\rm Y}(1S){\pi }^{+}{\pi }^{-}$ and ${\rm Y}(2S){\pi }^{+}{\pi }^{-}$ production near the ${\rm Y}(5S)$ resonance
• Scalar Resonance Contributions to the Dipion Transition Rates of ${\rm Y}(4S,5S)$ in the re-scattering model
• Higher bottomonium zoo
• The Hidden Charm Decay of $X(3872),Y(3940)$ and Final State Interaction Effects
• Extraction of the light quark mass ratio from the decays psi' --> J/psi pi^0 (eta)
• The puzzle of excessive non-$D\bar{D}$ component of the inclusive $\psi (3770)$ decay and the long-distant contribution
• Charged bottomonium-like states $Z_b(10610)$ and $Z_b(10650)$ and the ${\rm Y}(5S)\to {\rm Y}(2S){\pi }^{+}{\pi }^{-}$ decay
• 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
• Peak shifts due to $B^{(\ast )}-{\bar{B}}^{(\ast )}$ rescattering in ${\rm Y}(5S)$ dipion transitions
• Measurement of the $e^{+}{e}^{-}\to \eta J/\psi$ cross section and search for $e^{+}{e}^{-}\to {\pi }^{0}J/\psi$ at center-of-mass energies between 3.810 and 4.600~GeV
• Observation of the $Y(4220)$ and $Y(4360)$ in the process $e^{+}{e}^{-}\to \eta J/\psi$
• Observation of the ${\rm Y}(1^3{D}_J)$ Bottomonium State through Decays to ${\pi }^{+}{\pi }^{-}{\rm Y}(1S)$
• Effects of $Z_b$ states and bottom meson loops on ${\rm Y}(4S)\to {\rm Y}(1S,2S){\pi }^{+}{\pi }^{-}$ transitions
• Study of hadronic transitions between Y states and observation of Y(4S)-> eta Y(1S) decay
• ${\rm Y}(4S,5S)\to {\rm Y}(1S)\eta$ transitions in the rescattering model and the new BaBar measurement
• Recent Results in Bottomonium
• 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
• Puzzles in hadronic transitions of heavy quarkonium with two pion emission
• Modeling Charmonium-$\eta$ Decays of $J^{PC}=1^{--}$ Higher Charmonia
• Towards the discovery of novel $B_c$ states: radiative and hadronic transitions
• Spectroscopic survey of higher-lying states of $B_c$ meson family
• Using $X(3823)\to J/\psi {\pi }^{+}{\pi }^{-}$ to identify coupled-channel effects
• Hadron physics potential of future high-luminosity B-factories at the Upsilon(5S) and above
• Extracting the light quark mass ratio m_u/m_d from bottomonia transitions
• Observation of Upsilon(2S) -> eta Upsilon(1S) and search for related transitions
• Study of Upsilon(3S,2S) -> eta Upsilon(1S) and Upsilon(3S,2S) -> pi+pi- Upsilon(1S) hadronic trasitions
• Analysis on Heavy Quarkonia Transitions with Pion Emission in Terms of the QCD Multipole Expansion and Determination of Mass Spectra of Hybrids
• Charm Physics - A Field Full with Challenges and Opportunities
• Understanding the newly observed Y(4008) by Belle
• Study of the branching ratio of $\psi (3770)\to D\bar{D}$ in $e^{+}{e}^{-}\to D\bar{D}$ scattering
• Study of $\eta$ and dipion transitions in ${\rm Y}(4S)$ decays to lower bottomonia
• Anomalous dipion invariant mass distribution of the ${\rm Y}(4S)$ decays into ${\rm Y}(1S){\pi }^{+}{\pi }^{-}$ and ${\rm Y}(2S){\pi }^{+}{\pi }^{-}$
• Exploring the ${\rm Y}(4S,5S,6S)\to h_b(1P)\eta$ hidden-bottom hadronic transitions
• Search for $B_c(ns)$ via the $B_c(ns)\to B_c(ms){\pi }^{+}{\pi }^{-}$ transition at LHCb and $Z_0$ factory
• Study of di-pion bottomonium transitions and search for the h_b(1P) state
• Status and Prospects of Exotic Hadrons at Belle II
• Observation of ${\rm Y}(4S)\to {\eta }^{\prime }{\rm Y}(1S)$
• Measurement of the branching fraction for the decay Upsilon(4S) -> Upsilon(1S)pi+pi-
• Implications of a New Light Scalar Near the Bottomonium Regime
• Single eta production in heavy quarkonia: breakdown of multipole expansion
• Study of the Hadronic Transitions ${\rm Y}$(2S)$\to (\eta ,{\pi }^0){\rm Y}$(1S) at Belle
• Results in $B_s$ physics and bottomonium spectroscopy using the Belle ${\rm Y}(5S)$ data
• The magnetic dipole transitions in the $(c\bar{b})$ binding system
• Analysis of the radiative decays among the bottomonium states
• Magnetic field induced hair structure in charmonium gluon-dissociation
• A quark model study of strong decays of $X\left(3915\right)$
• Observation of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0{\chi }_{b1,2}(1P)$ and search for $e^{+}{e}^{-}\to \varphi {\chi }_{b1,2}(1P)$ at $\sqrt{s}=$10.96---11.05 GeV
• The role of spin-flipping terms in hadronic transitions of ${\rm Y}(4S)$
• Predictions of ${\rm Y}(4S)\to h_b(1P,2P){\pi }^{+}{\pi }^{-}$ transitions
• Testing Anomalous Color-Electric Dipole Moment of the c-Quark from psi'->J/psi+pi(+)+pi(-) at Beijing Spectrometer
• Hadronic Transition chi(c1)(1P) to eta(c) plus two pions at the Beijing Spectrometer BES and the Cornell CLEO-c
• Analysis of the decays ${\psi }^{\prime }\to J/\psi {\pi }^{+}{\pi }^{-}$ and ${\eta }_c^{\prime }\to {\eta }_c{\pi }^{+}{\pi }^{-}$ with the heavy quark symmetry
• M1 Radiative and spin-nonflip $\pi \pi$ transitions of $B_c$ states in the Cornell potential model
• Experimental review of the ${\rm Y}(1S,2S,3S)$ physics at $e^{+}{e}^{-}$ colliders and the LHC
• Study of $B_c\to \psi (2S)K$, ${\eta }_c(2S)K$, $\psi (3770)K$ decays with perturbative QCD approach
• Heavy Quarkonium Spectroscopy
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• Revealing dipion correlations for the observed substructure near the ${\pi }^{+}{\pi }^{-}$ mass threshold in $\psi (3686)\to J/\psi {\pi }^{+}{\pi }^{-}$
• Exotic hadrons associated with $b$-quark
• Chromopolarizability of charm-beauty quarkonium from $B_c(2S)\to B_c\pi \pi$ transition
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