Hadron resonances generated from the dynamics of the lightest scalar ones

Abstract

We have studied the interactions of the scalar resonances f_0(980) and a_0(980) with the vector resonance ϕ(1020) and with the lightest pseudoscalars π, K, ηand η'. We first obtain the interaction kernels without including any new free parameter. Afterwards, the interaction kernels are unitarized and the final S-wave amplitudes result. We find that these interactions are very rich and generate a large amount of pseudoscalar resonances including the K(1460), π(1300), π(1800), η(1475) and X(1835) resonances. The f_0(980)ϕ(1020) self-interactions give rise to the ϕ(2170) resonance. For realistic choices of the parameters we also obtain an isovector companion in the same mass region from the a_0(980) ϕ(1020) interactions.

arXiv comment4 pafes, 4 figures. Invited talk at QCD 10 (25th anniversary), 15th International QCD Conference, 28th June - 3rd July 2010 Montpellier (France). To be published in Nucl. Phys. B (Proc. Suppl.)

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