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arXiv · 1207.2330

Enhanced non-quark-antiquark and non-gluebal N_c behavior of light scalar mesons

Guillermo Rios·Jenifer Nebreda·Jose R. Pelaez
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Abstract

We report our results on the nature of the lightest scalar resonances, where we show that a quark-antiquark or glueball interpretation of the scalars f_0(600) and K^*_0(800) requires a very unnatural fine tuning to satisfy 1/N_c-expansion predictions for quark-antiquark or glueball states, which is not needed in the case of the lightest vector mesons ρ(770) and K^*(892). For this we consider scattering observables whose value is fixed to 1 for quark-antiquark and glueball states up to corrections suppressed by more than one power of 1/N_c, thus enhancing contributions of other nature. This allows us to evaluate these observables and check the 1/N_c predictions at N_c=3 without the need to extrapolate to unphysical N_c values. This is done using recent and very precise dispersive ππand πK scattering data analyses.

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Guillermo Rios, Jenifer Nebreda, Jose R. Pelaez. 2012-07-10. Enhanced non-quark-antiquark and non-gluebal N_c behavior of light scalar mesons. https://arxiv.org/abs/1207.2330

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