We consider the generalization of the meson bootstrap scheme to $S\overline{W}\mathrm{}\left(3\right)\mathrm{}$ symmetry, assigning the spin zero mesons to the (3,3*) ⊕ (3*,3) representation. We find that the leading Regge trajectory is an $S\overline{W}\mathrm{}\left(3\right)\mathrm{}$ singlet and identify it with the Pomeranchuk trajectory. In addition we observe that the self-consistent solution includes the vector and axial vector mesons in the (1,8) ⊕ (8,1) and the spin 2 mesons in the (3,3*) ⊕ (3*,3) representation. Thus we predict the existence of a tenth $J^P=2^{+}$ meson. We suggest that the missing meson is the Pomeranchuk particle and that it should be found at an energy considerably smaller than the $2^{+}$ nonet mass.

• Received 11 January 1966

DOI:https://doi.org/10.1103/PhysRev.145.1154