Semirelativistic potential model for low-lying three-gluon glueballs

Details Semirelativistic potential model for low-lying three-gluon glueballs Semirelativistic potential model for low-lying three-gluon glueballs

2006-05-18

arxiv.org/abs/hep-ph/0605205v1

Phys.Rev. D74 (2006) 054002

Physics

High Energy Physics

High Energy Physics - Phenomenology

2 figures

Scientific paper

10.1103/PhysRevD.74.054002

The three-gluon glueball states are studied with the generalization of a semirelativistic potential model giving good results for two-gluon glueballs. The Hamiltonian depends only on 3 parameters fixed on two-gluon glueball spectra: the strong coupling constant, the string tension, and a gluon size which removes singularities in the potential. The Casimir scaling determines the structure of the confinement. Low-lying $J^{PC}$ states are computed and compared with recent lattice calculations. A good agreement is found for $1^{--}$ and $3^{--}$ states, but our model predicts a $2^{--}$ state much higher in energy than the lattice result. The $0^{-+}$ mass is also computed.

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