Glueball states in a constituent gluon model - art. no. 014028

Citation
Ws. Hou et al., Glueball states in a constituent gluon model - art. no. 014028, PHYS REV D, 6401(1), 2001, pp. 4028
Citations number
47
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
0556-2821 → ACNP
Volume
6401
Issue
1
Year of publication
2001
Database
ISI
SICI code
0556-2821(20010701)6401:1<4028:GSIACG>2.0.ZU;2-T
Abstract
In a model with a dynamical gluon mass, we investigate the bound states of two and three gluons via a Schrodinger equation. The short distance potenti al is approximated by one-gluon exchange while the long distance part is as sumed 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 c onsidering quantum-mechanical smearing of the gluon fields and normalizing to lattice results on M-o++ and M-2++, we find that the 0(++) glueball is r ather small in size compared with the others. The fitted gluon mass is of o rder 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/psi and psi'.