Hadronic Resonance Spectrum May Help in Resolution of Meson Nonet Enigmas

Abstract

The identification of problematic meson states as the members of the quark model $q\bar{q}$ nonets by using a hadronic resonance spectrum is discussed. The results favor the currently adopted $q\bar{q}$ assignments for the axial-vector, tensor, and 1 ${}^3{F}_4$ $J^{PC}=4^{++}$ meson nonets, and suggest a new $q\bar{q}$ assignment for the scalar meson nonet which favors the interpretation of the $f_0(980)$ and $f_0(1710)$ mesons as non-$q\bar{q}$ objects. We also suggest that the 2 ${}^3{S}_1$ $\frac{1}{2}(1^{-})$ state should be identified with the $K^{\ast }(1680)$ rather than $K^{\ast }(1410)$ meson.

Comments: Latex, 13 pages plus 8 figures