Semirelativistic potential model for low-lying three-gluon glueballs

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 JPC 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.