ON THE LOWEST LYING 4++
NONET AND GLUEBALL
Abstract
In the framework of meson–meson mixing, in the presence of the a4(2040), and f4(2050) being the 1 3F4
states, we suggest that the f′4, the ninth member of the 1 3F4 meson nonet, has a mass of about 2084 MeV, and some predictions on the f4 and f′4 decaying 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.