Higher Hybrid Charmonia in an Extended Potential Model

Abstract

The quark potential model for mesons and its extension for hybrid mesons are used to study the effects of radial excitations on the masses, sizes and radial wave functions at the origin for conventional and hybrid charmonium mesons. These results can help in experimentally recognizing hybrid mesons. The properties of conventional and hybrid charmonium mesons are calculated for the ground and radially excited states using the shooting method to numerically solve the required Schrodinger equation for the radial wave functions. We compare our results with the experimentally observed masses and theoretically predicted results of the other models. Our results have implications for scalar form factors, energy shifts, and polarizabilities of conventional and hybrid mesons. The comparison of masses of conventional and hybrid charmonium meson with the masses of recent discovered XYZ-particles is also discussed.

22 pages, 4 figures

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Cited by in corpus (15)

• Spectroscopy and Decay properties of the charmonium
• Discussions on the Line-shape of $X(4660)$ Resonance
• Decays and spectrum of bottom and bottom strange mesons
• Observation of a vector charmoniumlike state at 4.7 $\mathrm{GeV}/c^2$ and search for $Z_{cs}$ in $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Modeling Charmonium-$\eta$ Decays of $J^{PC}=1^{--}$ Higher Charmonia
• Properties of excited charmed-bottom mesons
• Higher Hybrid Bottomonia in an Extended Potential Model
• Conventional and Hybrid $B_c$ Mesons in an Extended Potential Model
• Charmonium Properties Using the Discrete Variable Representation (DVR) Method
• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• Decay Properties of Conventional and Hybrid Charmonium Mesons
• Spectra and Decay Properties of Higher Lying $B_C$ Meson States
• Mass spectroscopy of charmonium using a screened potential
• Potential Model for ${\Sigma }_u^{-}$ Hybrid Meson State
• Systematic analysis of the D-wave charmonium states with the QCD sum rules