Systematization of tensor mesons and the determination of the 2$^{++}$ glueball

It is shown that new data on the $(J^{PC}=2^{++})$-resonances in the mass range $M\sim1700-2400$ MeV support the linearity of the $(n,M^2)$-trajectories, where $n$ is the radial quantum number of quark–antiquark state. In this way all vacancies for the isoscalar tensor $q\bar q$-mesons in the range up to 2450 MeV are filled in. This allows one to fix the broad $f_2$-state with $M=2000\pm30$ MeV and $\Gamma=530\pm40$ MeV as the lowest tensor glueball.