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M_(π) and N_c dependence of resonances form Unitarized Chiral Perturbation Theory

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Rios, G. and Hanhart, Christoph and Peláez Sagredo, José Ramón (2011) M_(π) and N_c dependence of resonances form Unitarized Chiral Perturbation Theory. In 12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU 2010). AIP Conference Proceedings (1374). Amer Inst Physics. ISBN 978-0-7354-0934-7

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Official URL: http://dx.doi.org/10.1063/1.3647171


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Abstract

We review our studies on the ρ and σ resonances properties derived from the Inverse Amplitude Method. In particular, we study the leading 1/N_c behavior of the resonances masses and widths and their evolution with changing m_(π). The 1/N_c expansion gives a clear definition of q̅ q states, which is neatly satisfied by the ρ but not by the σ, showing that its dominant component is not q̅q. The m_(π) dependence of the resonance properties is relevant to connect with lattice studies. We show that our predictions compare well with some lattice results and we find that the rho π πcoupling constant is m_π independent, in contrast with the σ π π coupling, that shows a strong m_π dependence.


Item Type:Book Section
Additional Information:

ISSN: 0094-243X
© 2011 American Institute of Physics 978-0-7354-0934-7.
International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU 2010) (12. 2011. New York).

Uncontrolled Keywords:One-loop; Scattering; Amplitude
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:35013
Deposited On:14 Jan 2016 16:39
Last Modified:10 Dec 2018 15:09

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