Semirelativistic potential model for glueball states

Abstract

The masses of two-gluon glueballs are studied with a semirelativistic potential model whose interaction is a scalar linear confinement supplemented by a one-gluon exchange mechanism. The gluon is massless but the leading corrections of the dominant part of the Hamiltonian are expressed in terms of a state dependent constituent gluon mass. The Hamiltonian depends only on 3 parameters: the strong coupling constant, the string tension, and a gluon size which removes all singularities in the leading corrections of the potential. Accurate numerical calculations are performed with a Lagrange mesh method. The masses predicted are in rather good agreement with lattice results and with some experimental glueball candidates.

4 figures

References in corpus (16)

• The glueball spectrum from an anisotropic lattice study
• Detailed Analysis of the Three Quark Potential in SU(3) Lattice QCD
• Three-Quark Potential in SU(3) Lattice QCD
• Rotating QCD string and the meson spectrum
• Nonperturbative corrections to the quark self-energy
• The low lying glueball spectrum
• Light Meson Spectra and Instanton Induced Forces
• The heavy baryons in the nonperturbative string approach
• Glueball States in a Constituent Gluon Model
• Auxiliary fields and hadron dynamics
• The glueball spectrum
• A unified meson-baryon potential
• The Glueball Spectrum from a Potential Model
• Electromagnetic splitting for mesons and baryons using dressed constituent quarks
• Search for Glueballs from Three-body Annihilation of Antiproton-Proton in-Flight
• Comment on `Glueball spectrum from a potential model'

Cited by in corpus (25)

• The Physics of Glueballs
• Heavy quarkonium hybrids from Coulomb gauge QCD
• Spin structure of heavy-quark hybrids
• Oddballs and a Low Odderon Intercept
• Glueball scattering cross section in lattice SU(2) Yang-Mills theory
• Gluons in glueballs: Spin or helicity?
• Charmonium meson and hybrid radiative transitions
• A Comprehensive Study of the Radiative Decays of $J/\psi$ and $\psi (2S)$ to Pseudoscalar Meson Pairs, and Search for Glueballs
• Glueballs and Mesons: the Ground States
• Meson and glueball spectra with the relativistic flux tube model
• Casimir scaling, glueballs and hybrid gluelumps
• Semirelativistic potential model for three-gluon glueballs
• Constituent gluon interpretation of glueballs and gluelumps
• Glueball phenomenology and the relativistic flux tube model
• Semirelativistic potential model for low-lying three-gluon glueballs
• Glueballs as rotating folded closed strings
• The tight knot spectrum in QCD
• Effective potential between two gluons from the scalar glueball
• Causality Constraints in Large $N$ QCD Coupled to Gravity
• Short-range potentials from QCD at order $g^2$
• Bound state equivalent potentials with the Lagrange mesh method
• Covariant oscillator quark model for glueballs and baryons
• Polyakov loop spectroscopy in the confined phase of gluodynamics and QCD
• Effective potential between two transverse gluons from lattice QCD
• Amplitude analysis of $\psi (3686)\to \gamma K_S^0{K}_S^0$