Pseudotensor mesons as three-body resonances

We show that the lightest pseudotensor mesons J(PC) = 2(-+) can be regarded as molecules made of a pseudoscalar (P)0(-+) and a tensor 2(++) meson, where the latter is itself made of two vector (V) mesons. The idea stems from the fact that the vector- vector interaction in s wave and spin 2 is very strong, to the point of generating the 2(++) tensor mesons. On the other hand the interaction of a pseudoscalar with a vector meson in s wave is also very strong and it generates dynamically the lightest axial-vector mesons. Therefore we expect the PVV interaction to be strongly attractive and thus able to build up quasibound PVV resonances. We calculate the three-body PVV interaction by using the fixed center approximation to the Faddeev equations where the two vectors are clustered forming a tensor meson. We find clear resonant tructures which can be identified with the pi(2)(1670), eta(2)(1645) and K-2* (1770) (2(-+)) pseudotensor mesons.