Higher Charmonia

Abstract

This paper gives results for the spectrum, all allowed E1 radiative partial widths (and some important M1 widths) and all open-charm strong decay amplitudes of all 40 c-cbar states expected up to the mass of the 4S multiplet, just above 4.4 GeV. The spectrum and radiative widths are evaluated using two models, the relativized Godfrey-Isgur model and a nonrelativistic potential model. The electromagnetic transitions are evaluated using Coulomb plus linear plus smeared hyperfine wavefunctions, both in a nonrelativistic potential model and in the Godfrey-Isgur model. The open-flavor strong decay amplitudes are determined assuming harmonic oscillator wavefunctions and the 3P0 decay model. This work is intended to motivate future experimental studies of higher-mass charmonia, and may be useful for the analysis of high-statistics data sets to be accumulated by the BES, CLEO and GSI facilities.

28 pages, 4 figures, 15 tables. v3 corrects typos and updates some discussions to be consistent with the published Phys Rev D version

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• B-Meson Gateways to Missing Charmonium Levels
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• On the nature of X(3960)
• Self-consistent $M1$ radiative transitions of excited $B_c$ and heavy quarkonia with different polarizations in the light-front quark model
• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• Colloquium: Hadron Production in Open-charm Meson Pair at $e^{+}{e}^{-}$ Collider
• Heavy baryons in the relativized quark model with chromodynamics
• Mass spectrum of $1^{--}$ heavy quarkonium
• Cross section measurements of the $e^{+}{e}^{-}\to D^{\ast +}{D}^{\ast -}$ and $e^{+}{e}^{-}\to D^{\ast +}{D}^{-}$ processes at center-of-mass energies from 4.085 to 4.600 GeV
• Search for $B_c(ns)$ via the $B_c(ns)\to B_c(ms){\pi }^{+}{\pi }^{-}$ transition at LHCb and $Z_0$ factory
• Charmonium Properties Using the Discrete Variable Representation (DVR) Method
• Heavy quarkonium 2S states in light-front quark model
• Search for new decay modes of the ${\psi }_2(3823)$ and the process $e^{+}{e}^{-}\to {\pi }^0{\pi }^0{\psi }_2(3823)$
• Radially Excited States of ${\eta }_c$
• The Charmonium Potential at Non-Zero Temperature
• The nature of ${\chi }_{c1}\left(3872\right)$ and $T_{cc}^{+}\left(3875\right)$
• Are the XYZ states unconventional states or conventional states with unconventional properties?
• Frame dependence of transition form factors in light-front dynamics
• Observation of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\psi (3770)$ and $D_1(2420{)}^0{\bar{D}}^0+c.c.$
• B-meson Semi-inclusive Decay to $2^{-+}$ Charmonium in NRQCD and X(3872)
• Evidence for $e^{+}{e}^{-}\to \gamma {\chi }_{c1,2}$ at center-of-mass energies from 4.009 to 4.360 GeV
• Mixing angle and decay constants of $J^P=1^{+}$ heavy-light mesons
• Tetraquark states in the bottom sector and the status of the $Y_b$(10890) state
• The electromagnetic decays of $X(3823)$ as the ${\psi }_2(1^3{D}_2)$ state and its radial excited states
• Two body relativistic wave equations
• Analysis of the radiative decays among the charmonium states
• Review of bottomonium measurements from CMS
• Unified covariant treatment of hyperfine splitting for heavy and light mesons
• Charmonium possibility of X(3872)
• Lineshape of $e^{+}{e}^{-}\to D^{\ast }\bar{D}+c.c.$ and electromagnetic form factor of $D^{\ast }\to D$ transition in the time-like region
• Measurement of Born cross section of $e^{+}{e}^{-}\to {\Sigma }^{+}{\bar{\Sigma }}^{-}$ at center-of-mass energies between 3.510 and 4.951 GeV
• Spectroscopic Assignments of the Excited $B$-Mesons
• Analysis of the $X(3842)$ as a D-wave charmonium meson
• Annihilation diagram contribution to charmonium masses
• The weak $B$, $B_s$ and $B_c$ decays to radially excited states
• Analysis of the hidden-charm-hidden-strange tetraquark mass spectrum via the QCD sum rules
• Radiative decay of the $X(3872)$ as a mixed molecule-charmonium state in effective field theory
• A new decay mode of higher charmonium
• Instanton effects on charmonium states
• Measurement of $e^{+}{e}^{-}\to \gamma {\chi }_{c0,c1,c2}$ cross sections at center-of-mass energies between 3.77 and 4.60 GeV
• Non-relativistic quark-antiquark potential: spectroscopy of heavy-quarkonia and exotic SUSY quarkonia
• Exclusive semileptonic $B_c$-meson decays to radially excited charmonium and charm meson states
• Heavy vector and axial-vector $D$ mesons in hot magnetized asymmetric nuclear matter
• Evidence for $e^{+}{e}^{-}\to \gamma {\eta }_c(1S)$ at center-of-mass energies between 4.01 and 4.60 GeV
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Precision measurements of ${\sigma }_B(e^{+}{e}^{-}\to K_S^0{K}^{\pm }{\pi }^{\mp })$ at center-of-mass energies between 3.8 and 4.6 GeV
• Open charm contributions to the E1 transitions of $\psi (3686)$ and $\psi (3770)\to \gamma {\chi }_{cJ}$
• Potential description of the charmonium from lattice QCD
• Examining coupled-channel effects in radiative charmonium transitions
• Masses and decay widths of scalar $D_0$ and $D_{s0}$ mesons in strange hadronic medium
• Is $Y(4008)$ possibly a $1^{--}$ $\psi (3^3{S}_1)$ state?
• Interquark potential for the charmonium system with almost physical quark masses
• Strong decays of vector mesons to pseudoscalar mesons in the relativistic quark model
• Decay Properties of Conventional and Hybrid Charmonium Mesons
• Radiative Transitions of Charmoniumlike Exotics in the Dynamical Diquark Model
• $E1$ and M1 radiative transitions involving heavy-light axial, pseudoscalar and vector quarkonia in the framework of Bethe-Salpeter equation
• The assignments of the $B_s$ mesons within the screened potential model and ${}^3{P}_0$ model
• Partial wave effects in the heavy quarkonium radiative electromagnetic decays
• Heavy quark spin partners of the $Y(4260)$ in coupled-channel formalism
• Microscopic study of the string breaking in QCD
• Measurement of $e^{+}{e}^{-}\to \gamma {\chi }_{cJ}$ via initial state radiation at Belle
• New Studies of XYZ States at PANDA
• QCD Exotics
• The assignments of the bottom mesons within the screened potential model and ${}^3{P}_0$ model
• Updated measurements of the M1 transition $\psi (3686)\to \gamma {\eta }_c(2S)$ with ${\eta }_c(2S)\to K\bar{K}\pi$
• Multipole Moments of Heavy Vector and Axial-Vector Mesons in QCD
• Search for $C=+$ charmonium and XYZ states in $e^{+}{e}^{-}\to \gamma +H$ at BESIII
• Could the static properties of nuclei be deduced from the dynamics of a single quark?
• Study on ${\eta }_{c2}({\eta }_{b2})$ electromagnetic decay into double photons
• Measurement of the branching fraction for $\psi (3770)\to \gamma {\chi }_{c0}$
• Strong Decays of the Orbitally Excited Scalar $D_0^{\ast }$ Mesons
• Revisiting radiative decays of $1^{+-}$ heavy quarkonia in the covariant light-front approach
• Branching fraction measurements of $\psi (3686)\to \gamma {\chi }_{cJ}$
• The leptonic widths of high $\psi$-resonances in unitary coupled-channel model
• Meson spectroscopy and properties using Dyson-Schwinger equations
• Three body open flavor decays of higher charmonium and bottomonium
• Study of structures and dynamical decay mechanisms for multiquark systems
• Search for the decay ${\chi }_{c1}(3872)\to {\pi }^{+}{\pi }^{-}{\chi }_{c1}$
• Study of the radiative decay $J/\psi \to {\eta }_c+\gamma$ in light cone sum rules
• Predictions for $h_c$ and $h_b$ production at the LHC
• Evidence for ${\eta }_c$(2S)$\to\pipieta$ decay
• A quark model study of strong decays of $X\left(3915\right)$
• Fully charmed P-wave tetraquark resonant states in the quark model
• Bottomonia in an unquenched quark model
• Study on the radiative decays of $h_c$ via intermediate meson loops model
• Spectroscopy and Annihilation Decay Widths of Charmonium and Bottomonium Excitations
• Radiative Decays of the $X(3872)$ in the Charmonium-Molecule Hybrid Picture
• The running mass $m_s$ at low scalefrom the heavy-light meson decay constants
• New Spectroscopy with PANDA at FAIR: X, Y, Z and the F-wave Charmonium States
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Predictions of ${\rm Y}(4S)\to h_b(1P,2P){\pi }^{+}{\pi }^{-}$ transitions
• Measurement of Born cross sections of $e^{+}{e}^{-}\to {\Xi }^0{\bar{\Xi }}^0$ and search for charmonium(-like) states at $\sqrt{s}$ = 3.51-4.95 GeV
• Heavy-Quark Hybrid Mass Splittings: Hyperfine and "Ultrafine"
• S-wave Heavy Quarkonium Spectra: Mass, Decays and Transitions
• Analysis of the vector meson transitions among the heavy quarkonium states
• Study of $\psi (3770)$ decaying to Baryon anti-Baryon Pairs
• Probing the structure of $X(3872)$ in photoproduction
• Construction of Isoscalar $2^{-+}$ Mesonic States Inspired by the $X(2600)$ Discovery
• Strong decays of strange quarkonia in a corrected 3P0 model
• Calculation of Dissociation Temperature of Nucleon Using Gaussian Expansion Method
• Cross sections for 2-to-1 meson-meson scattering
• Quark structure of the $X(4500)$, $X(4700)$ and ${\chi }_{\mathrm{c}}(4P,5P)$ states
• Measurement of $\mathcal{B}(\psi (3770)\to \gamma {\chi }_{c1})$ and search for $\psi (3770)\to \gamma {\chi }_{c2}$
• First search for the ${\eta }_{c2}(1D)$ in $B$ decays at Belle
• Study of $e^{+}{e}^{-}\to \omega X(3872)$ and $\gamma X(3872)$ from 4.66 to 4.95 GeV
• Complete analytical solution to the Cornell potential and heavy quarkonium structure
• Relativistic two-body calculation of $b\bar{b}$-mesons radiative decays
• Structure of heavy quarkonia in a strong magnetic field
• Precise study of triply charmed baryons ${\Omega }_{ccc}$
• Light meson decay in the c3p0 model
• Radiative decays of the neutral $Z_c(3900)$ and $Z_c(4020)$
• Predictions for Bottomonium from a Relativistic Screened Potential Model
• Measurement of the cross sections of $e^{+}{e}^{-}\to K^{-}{\bar{\Xi }}^{+}\Lambda /{\Sigma }^0$ at center-of-mass energies between 3.510 and 4.914 GeV
• Mass spectra of heavy pseudoscalars using instantaneous Bethe-Salpeter equation with different kernels
• Fully-heavy tetraquarks in the vacuum and in a hot environment
• Experimental review of the ${\rm Y}(1S,2S,3S)$ physics at $e^{+}{e}^{-}$ colliders and the LHC
• Charmonium production in e+e- to ψ+ X(c\bar c) and e+e- to D*D_J
• Evasion of HSR in the charmless decays of excited $P$-wave charmonia
• Hadronic production of $D(2550)$, $D^{\ast }(2600)$, $D(2750)$, $D_1^{\ast }(2760)$ and $D_3^{\ast }(2760)$
• Properties of Bc Mesons and Variational Constraints on their Masses
• Open flavor strong decays
• A Confining Model for Charmonium and New Gauge Invariant Field Equations
• Hidden-Charm Tetraquarks in a Mixture Model: Coupled-Channel Analysis with $c\bar{c}$ and Hadronic Molecular Components
• Measurement of Born cross section of $e^{+}{e}^{-}\to {\Sigma }^0{\bar{\Sigma }}^0$ at $\sqrt{s}=3.50-4.95$ GeV
• Discovery potential of charmonium $2P$ states through the $e^{+}{e}^{-}\to \gamma D\bar{D}$ processes
• Spectra and Decay Properties of Higher Lying $B_C$ Meson States
• Search for the radiative transition ${\chi }_{c1}(3872)\to \gamma {\psi }_2(3823)$
• Shedding light on charmonium
• Hyperfine Structure of $B$ and $D$ Mesons in a QCD-Inspired Potential Model
• New reaction approach to reflect exotic structure of hadronic molecular state
• ${\chi }_{c1}(2p)$: an overshadowed charmoniumlike resonance
• The possible assignments of the scalar $K_0^{\ast }(1950)$ and $K_0^{\ast }(2130)$ within the ${}^3{P}_0$ model
• Strong decays with the boost-corrected wave functions
• Light-by-light scattering sum rule for radiative transitions of bottomonia
• Tetraquark states in the quark model
• Phenomenology of $D_{s1}$ mesons radiative transitions
• A discussion on vacuum polarization correction to the cross-section of $e^{+}{e}^{-}\to {\gamma }^{\ast }/\psi \to {\mu }^{+}{\mu }^{-}$
• Search for the ${\eta }_{c2}(1D)$ in $e^{+}{e}^{-}\to \gamma {\eta }_{c2}(1D)$ at $\sqrt{s}$ near 10.6 GeV at Belle
• Radiative transitions of charmonium states in a constituent quark model
• R-Matrix Calculations for Few-Quark Bound States
• A helpful analogy between the covalent bond and Particle Spectroscopy
• Exotic c c-bar Mesons
• Test of the nonrelativistic $c\bar{c}$ potential
• Strong Decays of Charmonia
• Study of charmonium production using decays to hadronic final states with the LHCb experiment
• Coupled-channel study of $4S$-$3D$ mixing dynamics in $\psi (4220)$ and $\psi (4380)$
• Observation of the Electromagnetic Dalitz Transition $h_c\to e^{+}{e}^{-}{\eta }_c$
• Simple high-accuracy method for solving bound-state equations with the Cornell potential in momentum space
• Cross section measurement of $e^{+}{e}^{-}\to \eta \psi (2S)$ and search for $e^{+}{e}^{-}\to \eta \tilde{X}(3872)$
• Observation of the $\psi (3686)$ decays into ${\Sigma }^{+}{\bar{\Sigma }}^{-}\omega$ and ${\Sigma }^{+}{\bar{\Sigma }}^{-}\varphi$
• Search for the light hadron decay ${\chi }_{c1}(3872)\to {\pi }^{+}{\pi }^{-}\eta$
• Nonleptonic $B_c$ decay rates from model independent relations
• $D$ wave charmonia
• Measurement of the Born cross section for $e^{+}{e}^{-}\to p{K}^{-}{K}^{-}{\bar{\Xi }}^{+}$ at $\sqrt{s}=$ 3.5-4.9 GeV
• The $X(3872)\to J/\psi \pi \gamma$ and $X(3872)\to J/\psi \pi \pi \gamma$ decays
• Strong decays of excited $2^{+}$ charmed mesons
• Spectroscopy of higher bottomonia
• On the proliferation of X's, Y's and Z's candidates
• Canonical interpretation of $Y(10750)$ and ${\rm Y}(10860)$ in the ${\rm Y}$ family
• Threshold Effects in Heavy Quarkonium Spectroscopy and Decays
• ${\bar{D}}^0{D}^{0\ast }$ $(D^0{\bar{D}}^{0\ast })$ System in QCD-Improved Many Body Potential
• Dynamical implications of gluonic excitations in meson-meson systems
• Confinement of Fermions in Tachyon Matter at Finite Temperature
• The effects of charmonium on the properties of the $1^{++}$ hidden charm poles in effective field theory
• Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia
• Study of the Magnetic Dipole Transition of $J/\psi \to \gamma {\eta }_c$ via ${\eta }_c\to p\bar{p}$
• Low-lying exotic mesons in the coupled-channel formalism
• Beauty Hadron Spectrum in a Screened Potential Model
• Angular distributions of the polarized photons and electron in the decays of the ${}^3{D}_3$ state of charmonium
• Quarkonium spectra with magnetically induced anisotropic confinement
• Exotic hadrons associated with $b$-quark
• Relativistic effects in heavy mesons
• Search for $e^{+}{e}^{-}\to \varphi {\chi }_{c0}$ and $\varphi {\eta }_{c2}(1D)$ at center-of-mass energies from 4.47 to 4.95 GeV
• X(1870) and ${\eta }_2(1870)$: Which can be assigned as a hybrid state?
• Cross section measurement of $e^{+}{e}^{-}\to {\pi }^0{\pi }^0\psi (3686)$ from $\sqrt{s}=$ 4.008 GeV to 4.951 GeV
• Recent Results on Hadron Spectroscopy from BESIII
• Line shape of the $J\psi \to \gamma {\eta }_c$ decay
• Search for the decays $X(3872)\to K_S^0{K}^{\pm }{\pi }^{\mp }$ and $K^{\ast }(892)\bar{K}$ at BESIII
• Radiative transitions of charmonium states in the covariant confined quark model
• Radiative Decays of Vector Mesons with Light-Cone Sum Rules
• Discovery of XYZ particles at the BESIII Experiment
• Development of electromagnetic calorimeter detectors and simulations for spectroscopic measurements of charmonium with PANDA
• Charm cross-section and charmonium(like) states in e+e- annihilation with Belle
• Spectroscopy and Decay Properties of Excited Charmonium States
• Threshold effects in heavy quarkonium spectroscopy
• Spectroscopy and Radiative Decays of ${\Omega }_{ccc}$ and ${\Omega }_{bbb}$ Baryons in a Quark-Diquark Model
• $X(3860)$ production in association with $J/\psi$ via $e^{+}{e}^{-}$ annihilation at Belle
• Analysis of the ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to \mathbf{J}/\mathbf{\psi D}\bar{\mathbf{D}}$ reaction close to the threshold concerning claims of a ${\chi }_{c0}(2P)$ state
• Electromagnetic probes revealing the inner structure of the ${\Lambda }_c(2940)$
• Precise Measurement of the ${\chi }_{c0}$ Resonance Parameters and Branching Fractions of ${\chi }_{c0,c2}\to {\pi }^{+}{\pi }^{-}/K^{+}{K}^{-}$
• Mass spectra of heavy mesons with instanton effects
• Dissociation cross sections of $\psi (3770)$, $\psi (4040)$, $\psi (4160)$, and $\psi (4415)$ mesons with nucleons
• Angular distributions in the radiative decays of the ${}^3{D}_3$ state of charmonium originating from polarized $\bar{p}p$ collisions
• On the origin of the narrow peak and the isospin symmetry breaking of the $X$(3872)
• Coupled-channel meson-meson scattering in the diabatic framework
• Charmonium decay in the C3P0 Model
• Production of $\psi (4040)$, $\psi (4160)$, and $\psi (4415)$ mesons in strong interactions
• Spectroscopy of the tetraquark $c\bar{c}$-$c\bar{c}$ in a non-relativistic approach using a phenomenological QCD model
• Open charm scenarios
• Analysis of the $X(4475/4710)$, $X(4500/4700)$, $Z_c(4600)$, $Z_{\bar{c}\bar{s}}(4600)$ and related tetraquark states with the QCD sum rules
• Systematic study of fully heavy-flavored tetraquarks $Q_1{Q}_2{\bar{Q}}_1{\bar{Q}}_2(Q_{1;2}\in \left\{b;c\right\})$: Mass spectra, threshold analysis, and confrontation with LHC data
• Nodal mechanism for the suppressed $D\bar{D}$ decay of $\psi (4040)$ in the Bethe--Salpeter framework
• Spin splitting spectroscopy of heavy quark anti quark systems
• Systematic analysis of the D-wave charmonium states with the QCD sum rules
• P-wave $c\bar{c}$ meson contributions in exotic hadrons
• Potential Model for ${\Sigma }_u^{-}$ Hybrid Meson State
• Proposed mixing between $2P$ and $1F$ wave charmonia