Potential Model for ${\Sigma }_u^{-}$ Hybrid Meson State

Abstract

In this paper, lattice simulations are used to propose a potential model for gluonic excited ${\Sigma }_u^{-}$ states of bottomonium meson . This proposed model is used to calculate radial wave functions, masses and radii of ${\Sigma }_u^{-}$ bottomonium hybrid mesons. Here, gluonic field between a quark and an antiquark is treated as in the Born-Oppenheimer expansion, and Schr$\ddot{o}$dinger equation is numerically solved employing shooting method. Results of calculated masses for ${\Sigma }_u^{-}$ state are in quite good agreement with the lattice simulations.

arXiv comment8 pages, 3 figures

References in corpus (19)

• Higher Charmonia
• Born-Oppenheimer Approximation for the XYZ Mesons
• Gluon excitations of the static quark potential and the hybrid quarkonium spectrum
• QCD phenomenology of static sources and gluonic excitations at short distances
• Precision computation of hybrid static potentials in SU(3) lattice gauge theory
• Spinor Field with Polynomial Nonlinearity in LRS Bianchi type-I spacetime
• QCD spin effects in the heavy hybrid potentials and spectra
• Higher Hybrid Charmonia in an Extended Potential Model
• The heavy-quark hybrid meson spectrum in lattice QCD
• Determining $1^{--}$ Heavy Hybrid Masses via QCD Sum Rules
• Axial Vector $J^{PC}=1^{++}$ Charmonium and Bottomonium Hybrid Mass Predictions with QCD Sum-Rules
• Mass Predictions for Pseudoscalar $J^{PC}=0^{-+}$ Charmonium and Bottomonium Hybrids in QCD Sum-Rules
• Higher Hybrid Bottomonia in an Extended Potential Model
• $J^{PC}=1^{++}$ heavy hybrid masses from QCD sum-rules
• A Laplace Sum-Rules Analysis of Heavy Pseudoscalar ($J^{PC}=0^{-+}$) Hybrids
• Theoretical investigations on the Y(4260) being an hybrid meson
• Heavy tetraquark states and quarkonium hybrids
• The Spectrum of the Hybrid Mesons with Heavy Quarks from the B.S. Equation
• Heavy Hybrid mesons Masses