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Ground state scalar anti-q q nonet: SU(3) mass splittings and strong, electromagnetic, and weak decay rates

Authors: M. D. Scadron, G. Rupp and E. van Beveren

Ref.: Phys.Rev.D 69, 014010 (2004)

Abstract: By comparing SU(3)-breaking scales of linear mass formulae, it is shown that the lowest vector and scalar mesons all have a $\bar{q}q$ configuration, while the ground-state octet and decuplet baryons are $qqq$. Also, the quark-level linear $\sigma$ model is employed to predict similar $\bar{q}q$ and $qqq$ states. Furthermore, the approximate mass degeneracy of the scalar $a_0$(985) and $f_0$(980) mesons is demonstrated to be accidental. Finally, it is shown that various strong, electromagnetic, and weak mesonic decay rates are successfully explained within the framework of the quark-level linear $\sigma$ model.