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Enhanced non-quark-antiquark and non-glueball N-c behavior of light scalar mesons

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Nebreda Manjón, Jenifer and Peláez Sagredo, José Ramón and Ríos, G. (2011) Enhanced non-quark-antiquark and non-glueball N-c behavior of light scalar mesons. Physical review D, 84 (7). ISSN 1550-7998

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.107.072001


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Abstract

We show that the latest and very precise dispersive data analyses require a large and very unnatural finetuning of the 1/N_c expansion at N_c = 3if the f_o(600) and K(800) light scalar mesons are to be considered predominantly q̅q states, which is not needed for light vector mesons. For this, we use scattering observables whose 1/N_c corrections are suppressed further than one power of 1/N_c for q̅q or glueball states, thus enhancing contributions of other nature. This is achieved without using unitarized ChPT, but if it is used we can also show that it is not just that the coefficients of the 1/N_c expansion are unnatural, but that the expansion itself does not even follow the expected 1/N_c scaling of a glueball or a q̅q meson.


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Additional Information:

©2011 American Physical Society.
We thank J. Nieves and E. Ruiz-Arriola for useful discussions, checks and suggestions and B. Mussallam for the results of his Roy-Steiner dispersive analysis of the K(800) channel.

Uncontrolled Keywords:Chiral perturbation-theory; Pi-pi; Extraordinary hadrons; Multiquark hadrons; Scattering; Resonances; Qcd; Lagrangians; A(0)(980); F(0)(980)
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:34718
Deposited On:16 Dec 2015 16:50
Last Modified:10 Dec 2018 15:09

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