Hadron resonances generated from the dynamics of the lightest scalar ones

preprint2010arXivOpen access

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.

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