On D-wave meson spectroscopy and the $K^* (1410) - K^* (1680)$ problem

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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11 pages, LaTeX

Scientific paper

10.1016/S0375-9474(97)81461-3

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 $^3D_1$ and 1 $^3D_3$ nonets, and suggest therefore that the $K^\ast (1680)$ cannot be the I=1/2 member of the 1 $^3D_1$ 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 $^1D_2$ nonet.

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