Wave Function Based Characteristics of Hybrid Mesons

Abstract

We propose some extensions of the quark potential model to hybrids, fit them to the lattice data and use them for the purpose of calculating the masses, root mean square radii and wave functions at the origin of the conventional and hybrid charmonium mesons. We treat the ground and excited gluonic field between a quark and an antiquark as in the Born-Oppenheimer expansion, and use the shooting method to numerically solve the required Schr$\ddot{\text{o}}$dinger equation for the radial wave functions; from these wave functions we calculate the mesonic properties. For masses we also check through a Crank Nichelson discretization. For hybrid charmonium mesons, we consider the exotic quantum number states with $J^{PC}=0^{+-},1^{-+}$ and $2^{+-}$. We also 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, magnetic polarizabilities, decay constants, decay widths and differential cross sections of conventional and hybrid mesons.

arXiv comment13 pages, 6 figures, Erratum is submitted to EPJA

References in corpus (25)

• Higher Charmonia
• QCD forces and heavy quark bound states
• Efficient glueball simulations on anisotropic lattices
• Static potentials and glueball masses from QCD simulations with Wilson sea quarks
• Ab Initio Study of Hybrid b-bar-gb Mesons
• Gluon excitations of the static quark potential and the hybrid quarkonium spectrum
• Observation of a J^PC = 1-+ exotic resonance in diffractive dissociation of 190 GeV/c pi- into pi- pi- pi+
• Observation of exotic meson production in the reaction ${\pi }^{-}p\to {\eta }^{\prime }{\pi }^{-}p$ at 18 GeV/c
• The ground state of three quarks
• Exotic Meson Production in the $f_1(1285){\pi }^{-}$ System observed in the Reaction ${\pi }^{-}p\to \eta {\pi }^{+}{\pi }^{-}{\pi }^{-}p$ at 18 GeV/c
• Heavy Quarkonium Dissociation Cross Sections in Relativistic Heavy-Ion Collisions
• Exotic Meson Decay to $\omega {\pi }^0{\pi }^{-}$
• Scalar form factors of light mesons
• Properties of $Q\bar{Q}$ $(Q\epsilon b,c)$ mesons in Coulomb plus Power potential
• Hybrid Quarkonia on Asymmetric Lattices
• Exotic mesons from quantum chromodynamics with improved gluon and quark actions on the anisotropic lattice
• Estimate of the charmed 0-- hybrid meson spectrum from quenched lattice QCD
• The heavy-quark hybrid meson spectrum in lattice QCD
• J/ψElectromagnetic Production at e^+e^- colliders
• Excited flux tube from $q\bar{q}g$ hybrid mesons
• Heavy Hybrids from NRQCD
• Lattice Predictions for Hybrids and Glueballs
• Dynamical effects of QCD in $q^2{\bar{q}}^2$ systems
• Charge Radii and Magnetic Polarizabilities of the Rho and K* Mesons in QCD String Theory
• New Results From CLEO and BES

Cited by in corpus (10)

• Higher Hybrid Charmonia in an Extended Potential Model
• Decays and spectrum of bottom and bottom strange mesons
• Quantum Confinement Induced Shift in Energy Band Edges and Band Gap of Spherical Quantum Dot
• Higher Hybrid Bottomonia in an Extended Potential Model
• Conventional and Hybrid $B_c$ Mesons in an Extended Potential Model
• RMS and charge radii in a potential model
• Decay Properties of Conventional and Hybrid Charmonium Mesons
• Next-to-next-to-leading-order QCD corrections to double $J/\psi$ production at the $B$ factories
• Dynamical implications of gluonic excitations in meson-meson systems
• Absorption of 1$P$-wave heavy charmonium ${\chi }_{c1}(1P)$ in nuclei