Three-gluon glueballs in a semirelativistic potential model

The 3-gluon glueballs are studied in a semirelativistic model including a potential with long range and short range contributions. The long range is the confinement potential of traditional Y form coming from the flux tube model and the short range stems from the one gluon exchange contributions. The bare potentials are dressed by convoluting them with the phenomenological matter density for the gluons that cannot be considered as pointlike particles. Our model contains 3 parameters: the string tension, the strong coupling constant and the gluon size. They are determined from the 2-gluon glueball states and kept unchanged for the 3-gluon glueball calculations. Our results are in complete agreement with LQCD conclusions except for the 2-- state that shows a very puzzling behaviour