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December 2007, to be published in Physical Review D1
Regarding the scalar mesons
Based on the main assumption that the D$_{sJ}$(2860) belong to the 2$^3$P$_0$ q$\overline{q}$ multiplet, the masses of the scalar meson nonet are estimated in the framework of the relativistic independent quark model, Regge phenomenology and meson-meson mixing. We suggest that the a$_0$(1005), K$_0$$^*$(1062), f$_0$(1103) and f$_0$(564) constitute the ground scalar meson nonet, it is supposed that these states would likely correspond to the observed states a$_0$(980), $\kappa$(900), f$_0$(980) and f$_0$(600)/$\sigma$, respectively. Also a$_0$(1516), K$_0$$^*$(1669), f$_0$(1788) and f$_0$(1284) constitute the first radial scalar meson nonet, it is supposed that these states would likely correspond to the observed states a$_0$(1450), K$_0$$^*$(1430), f$_0$(1710) and f$_0$(1370), respectively. The total annihilation strength of the q$\overline{q}$ pair for the light flavors $u$ and $d$ is equal between the ground scalar meson nonet and the first radial scalar meson nonet and the scalar state f$_0$(1500) maybe a good candidate for the ground scalar glueball. The agreement between the present findings and those given by other different approaches is satisfactory. © 2008 The American Physical Society.
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