X(2370) as the pseudoscalar glueball: Another clue from a constituent approach
F. Buisseret
Abstract
The pseudoscalar state X(2370) is the clearest glueball candidate experimentally identified so far. From a phenomenological point of view, constituent approaches, in which the lightest glueballs are modelled as bound states of two transverse constituent gluons linked by an adjoint flux tube, reach a good agreement with quenched lattice QCD pure gauge spectrum. Based on the assumption that the total decay width of glueballs or light unflavoured mesons is proportional to the energy stored in the flux tube, a model is developed that linearly correlates the hadron decay width to its mass. The model is first fitted on light unflavoured mesons and then extended to glueballs. Both the mass and decay width of the X(2370) are compatible with the results of the constituent approach. Other experimental glueball candidates in the scalar and tensor channels are also reviewed to show the ability of the developed approach to identify glueballs: The f2(2150) and f2(2300) states appear as promising tensor glueball candidates.
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