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N_c and m_π dependence of ρ and σ mesons from unitarized Chiral Perturbation Theory

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Rios, G. and Hanhart, C. and Peláez Sagredo, José Ramón (2010) N_c and m_π dependence of ρ and σ mesons from unitarized Chiral Perturbation Theory. In International Workshop on Chiral Symmetry in Hadrons and Nuclei. AIP Conference Proceedings (1322). American Institute of Physics. ISBN 978-0-7354-0878-4

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Official URL: http://dx.doi.org/10.1063/1.3542024


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Abstract

We review our work on the ρ and σ resonances 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/Nc expansion gives a clear definition of ¯qq states, which is neatly satisfied by the ρ but not by the σ, showing that its dominant component is not ¯qq. 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 ρππ coupling constant is mπ independent, in contrast with the σππ coupling, that shows a strong m_π dependence.


Item Type:Book Section
Additional Information:

©Amer Inst Physics.
ISSN: 0094-243X
International Workshop on Chiral Symmetry in Hadrons and Nuclei (2010. Valencia).

Uncontrolled Keywords:Scalar mesons; Chiral lagrangians; 1/Nc expansion
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:35155
Deposited On:22 Jan 2016 17:16
Last Modified:10 Dec 2018 15:09

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