Glueball states in a constituent gluon model
Journal
Physical Review D
Journal Volume
517
Journal Issue
3-4
Date Issued
2001
Author(s)
Abstract
In a model with a dynamical gluon mass, we investigate the bound states of two and three gluons via a Schrödinger 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 M0++ and M2++, 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-+, 1-, and 3- 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- glueball to be around 3.1-3.7 GeV, which is close to the mass of J/ψ and ψ. © 2001 The American Physical Society.
Other Subjects
article; binding affinity; mathematical analysis; mathematical model; quantum mechanics; theory
Type
journal article