ON THE LOWEST LYING 4++$q\bar{q}$ NONET AND GLUEBALL

Abstract

In the framework of meson–meson mixing, in the presence of the a4(2040), [Formula: see text] and f4(2050) being the 13F4[Formula: see text] states, we suggest that the f′4, the ninth member of the 13F4meson nonet, has a mass of about 2084 MeV, and some predictions on the f4and f′4decaying into two photons and pseudoscalar mesons are presented. Also, the mass of the lowest lying 4++glueball is predicted to be about 3.15 GeV by using the meson-glueball mass relation derived from the glueball dominance picture, which is in agreement with 3.42 GeV, the average value of the recent predicted results was given by lattice QCD, potential model, semi-relativistic potential model and quasi-particle model.