Localization of the glueball and possible decuplets of tensor mesons

We continue the study of flavor aspects of strong interaction. The answer to the question of glueball existence is probably a necessary step in this investigation. The existence of the glueball implies the existence of the decuplet. The model we consider requires that the mass of meson decuplet dominated by the glueball is enclosed between the masses of the ideal nonet N and S states. This description is applied to the two sets of the tensor mesons. One of them comprise the well known particles which are attributed to the widely known nonet $2^{++}$. We argue that they belong to a decuplet if there exists the isoscalar tensor meson having the mass obeying the condition on glueball dominated meson; the meson $f_2(1430)$ could be a candidate. Another set includes large number of mesons lying in the 2GeV region. This set is used to test ability of the model to select particles belonging to the decuplet.