Polarization of tensor mesons in ψ radiative decays and possible implications for the gluonic content of the θ(1720)

We present a resolution to the problem of the helicity structure of tensor mesons produced in ψ→γT. The new feature is that the diagrams are separated according to their different topologies, the corresponding helicity structures being analyzed for each diagram. Different topologies appear to dominate the ${\mathit{f}}_2$(1270,1525) qq¯ production and the θ/${\mathit{f}}_2$(1720) production, suggesting that the θ production samples large transverse momentum ${\mathit{p}}_{\mathit{t}}$ in the ψ wave function.