Phys. Rev. Lett. 44, 1319–1322 (1980)Relativistic Wave Equation and Mass Spectrum of GluoniumReceived 22 October 1979; published in the issue dated 19 May 1980 A relativistic wave equation is derived for gauge-invariant J=0 gluonium amplitudes, and show that its reduced eigenvalue equation is identical with that for a quark-antiquark system in 3P1 states. Analyzing relations between potentials in the two respective systems, I obtain an upper limit of 2 GeV to the ground-state 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. © 1980 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.44.1319
DOI:
10.1103/PhysRevLett.44.1319
PACS:
11.10.Qr, 12.70.+q, 14.80.Kx
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