On D-wave meson spectroscopy and the $K^{\ast }(1410)-K^{\ast }(1680)$ problem

The mass spectrum of D-wave mesons is considered in a nonrelativistic constituent quark model. The results show a common mass degeneracy of the isovector and isodoublet states of the 1 ${}^3{D}_1$ and 1 ${}^3{D}_3$ nonets, and suggest therefore that the $K^{\ast }(1680)$ cannot be the I=1/2 member of the 1 ${}^3{D}_1$ nonet. They also suggest that the ${\eta }_2(1870),$ presently omitted form the Meson Summary Table, should be interpreted as the I=0 $s\bar{s}$ state of the 1 ${}^1{D}_2$ nonet.