Relativistic Wave Equation and Mass Spectrum of Gluonium
Abstract
A relativistic wave equation is derived for gaugeinvariant J=0 gluonium amplitudes, and show that its reduced eigenvalue equation is identical with that for a quarkantiquark system in ^{3}P_{1} states. Analyzing relations between potentials in the two respective systems, I obtain an upper limit of 2 GeV to the groundstate mass if I take light quarkonium as a reference system, whereas I estimate the ground state to lie between 2.5 and 3 GeV if I use charmonium potential parameters. The scalar and the pseudoscalar gluonium states are degenerate in the present approach.
 Publication:

Physical Review Letters
 Pub Date:
 May 1980
 DOI:
 10.1103/PhysRevLett.44.1319
 Bibcode:
 1980PhRvL..44.1319S
 Keywords:

 11.10.Qr;
 12.70.+q;
 14.80.Kx