Regarding the scalar mesons

Abstract

Based on the main assumption that the ${D}_{sJ}(2860)$ belongs 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 ${a}_{0}(980)$, $\ensuremath{\kappa}(900)$, ${f}_{0}(980)$, and ${f}_{0}(600)/\ensuremath{\sigma}$, 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 scalar state ${f}_{0}(1500)$ may be a good candidate for the ground scalar glueball. The agreement between the present findings and those given by other different approaches is satisfactory.