2001/01/31 by W.-S. Hou, Wei-Shu Hou, Ching-Shan Luo +1 · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.64.014028
published as Phys.Rev. D64 (2001) 014028 · Revtex, 7 pages with 7 eps figures
arxiv created 2001/03/01 · openalex publication_date 2001/06/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a model with a dynamical gluon mass, we investigate the bound states of two and three gluons via a Schr"odinger equation. The short distance potential is approximated by one-gluon exchange while the long distance part is assumed to be of a breakable string. We estimate the masses and in particular the sizes of low-lying bound states with no orbital angular momentum. By considering quantum-mechanical smearing of the gluon fields and normalizing to lattice results on M_0++ and M_2++, we find that the 0++ glueball is rather small in size compared with the others. The fitted gluon mass is of order 600 to 700 MeV, which is reasonable. The 0^\ensuremath-+, 1^\ensuremath-\ensuremath-, and 3^\ensuremath-\ensuremath- three gluon glueball states are nearly degenerate, and their mass ratio with 2++ is largely independent of all the parameters and consistent with lattice calculations. We estimate the mass of the 1^\ensuremath-\ensuremath- glueball to be around 3.1--3.7 GeV, which is close to the mass of J/\ensuremathψ and \ensuremathψ^\ensuremath'.