Potential model calculations and predictions for heavy quarkonium

Abstract

We investigate the spectroscopy and decays of the charmonium and upsilon systems in a potential model consisting of a relativistic kinetic energy term, a linear confining term including its scalar and vector relativistic corrections and the complete perturbative one-loop quantum chromodynamic short distance potential. The masses and wave functions of the various states are obtained using a variational technique, which allows us to compare the results for both perturbative and nonperturbative treatments of the potential. As well as comparing the mass spectra, radiative widths and leptonic widths with the available data, we include a discussion of the errors on the parameters contained in the potential, the effect of mixing on the leptonic widths, the Lorentz nature of the confining potential and the possible $c\bar{c}$ interpretation of recently discovered charmonium-like states.

Physical Review published version

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Cited by in corpus (84)

• Multiquark Resonances
• A review of the open charm and open bottom systems
• Quarkonia and their transitions
• Four-Quark Hadrons: an Updated Review
• Bottomonium spectrum revisited
• Charmonia and Bottomonia in a Magnetic Field
• Properties of $Q\bar{Q}$ mesons in non-relativistic QCD formalism
• $Q\bar{Q}$ ($Q\in \{b,c\}$) spectroscopy using Cornell potential
• Constituent quark model description of charmonium phenomenology
• Constructing $J/\psi$ family with updated data of charmoniumlike $Y$ states
• Higher bottomonium zoo
• Properties of $Q\bar{Q}$ $(Q\epsilon b,c)$ mesons in Coulomb plus Power potential
• Open Quantum Systems for Quarkonia
• Standard candle central exclusive processes at the Tevatron and LHC
• Spectroscopy and Decay properties of the charmonium
• Near-threshold $D\bar{D}$ spectroscopy and observation of a new charmonium state
• Using Line Shapes to Discriminate between Binding Mechanisms for the X(3872)
• Leptonic and Digamma decay Properties of S-wave quarkonia states
• Potential model calculations and predictions for $\mathbf{c}\bar{\mathbf{s}}$ quarkonia
• Observation of a resonant structure near the $D_s^{+}{D}_s^{-}$ threshold in the $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ decay
• Two-photon and two-gluon decays of p-wave heavy quarkonium using a covariant light-front approach
• Charmonium states in QCD-inspired quark potential model using Gaussian expansion method
• Measurement of ψ(3770) parameters
• Discussions on the Line-shape of $X(4660)$ Resonance
• Bottomonium states in hot asymmetric strange hadronic matter
• Decay rates of charmonia within a quark-antiquark confining potentials
• Hyperfine splittings in the $b\bar{b}$ system
• Canonical interpretation of the $X(4140)$ state within the ${}^3{P}_0$ model
• Status of quarkonia - like negative and positive parity states in a relativistic confinement scheme
• Two-Photon, Two-gluon and Radiative Decays of Heavy Flavoured Mesons
• Charmonium states in strong magnetic fields
• Light-meson masses in an unquenched quark model
• Masses and Decay widths of Charmonium states in presence of strong magnetic fields
• Decay rates of quarkonia with NRQCD formalism using spectroscopic parameters of potential models
• Where are $3P$ and higher $P-$wave states in the charmonium family?
• Leading-twist light cone distribution amplitudes for p-wave heavy quarkonium states
• Charmonium decay widths in magnetized matter
• Relativistic corrections to the pair double heavy diquark production in e^+e^- annihilation
• Leptonic decay of Heavy-light Mesons in a QCD Potential Model
• Quarkonium propagation in the quark gluon plasma
• Relativistic corrections to the pair $B_c$-meson production in $e^{+}{e}^{-}$ annihilation
• Search for psi(2S) -> gamma eta_c(2S) via fully reconstructed eta_c(2S) decays
• Higgs boson decay to paired $B_c$: relativistic and one-loop corrections
• Chi_b(3P) splitting predictions in potential models
• Decay rates and electromagnetic transitions of heavy quarkonia
• Charmonium spectrum with a Dirac potential model in the momentum space
• Relativistic corrections to paired production of charmonium and bottomonium in decays of the Higgs boson
• Hyperfine splitting and the experimental candidates for η_b(2S)
• Charmonium Properties Using the Discrete Variable Representation (DVR) Method
• On the nature of X(3960)
• Colloquium: Hadron Production in Open-charm Meson Pair at $e^{+}{e}^{-}$ Collider
• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• Revisiting the Heavy Vector Quarkonium Leptonic Widths
• Higgs boson decay to the pair of S- and P-wave $B_c$ mesons
• Unified covariant treatment of hyperfine splitting for heavy and light mesons
• Exclusive double $B_c$ meson production from $e^{+}{e}^{-}$ annihilation into two virtual photons
• Review of bottomonium measurements from CMS
• Two body relativistic wave equations
• Analysis of the $X(3842)$ as a D-wave charmonium meson
• Radiative decays of heavy-light quarkonia through $M1$, and $E1$ transitions in the framework of Bethe-Salpeter equation
• QCD sum rule analysis of Heavy Quarkonium states in magnetized matter -- effects of (inverse) magnetic catalysis
• Photonic production of the pair of $B_c$ mesons
• $\mathcal{O}({\alpha }_s^2)$ corrections to $J/\psi +{\chi }_{c0,1,2}$ production at $B$ factories
• Partial wave effects in the heavy quarkonium radiative electromagnetic decays
• The leptonic widths of high $\psi$-resonances in unitary coupled-channel model
• Spin Averaged Mass Spectrum of Heavy Quarkonium via Asymptotic Iteration Method
• Open bottom mesons in magnetized matter -- effects of (inverse) magnetic catalysis
• Dirac sea effects on Heavy Quarkonia decay widths in magnetized matter -- a field theoretic model of composite hadrons
• Quarkonium Spectroscopy: Beyond One-Gluon Exchange
• Spectroscopy and Annihilation Decay Widths of Charmonium and Bottomonium Excitations
• Relativistic two fermion treatment of hyperfine transitions
• Next-to-next-to-leading-order QCD corrections to double $J/\psi$ production at the $B$ factories
• Relativistic two-body calculation of $b\bar{b}$-mesons radiative decays
• Predictions for Bottomonium from a Relativistic Screened Potential Model
• Experimental review of the ${\rm Y}(1S,2S,3S)$ physics at $e^{+}{e}^{-}$ colliders and the LHC
• Spectra and Decay Properties of Higher Lying $B_C$ Meson States
• Properties of bottomonium in a relativistic quark model
• Probing Axial-Vector Charmonia ${\chi }_{c1}(1P)$ and ${\chi }_{c1}(2P)$
• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$
• Relativistic effects in heavy mesons
• X(1870) and ${\eta }_2(1870)$: Which can be assigned as a hybrid state?
• Exotic hadrons associated with $b$-quark
• Note on recent measurements of the $ψ(1S)\to\ga η_C(1S)$ and $ψ(2S)\to\ga η_C(1S)$ branching ratios
• Systematic analysis of the D-wave charmonium states with the QCD sum rules