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Chiral extrapolation of the sigma and rho mesons from dispersion relations and chiral perturbation theory

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Rios, G. and Gómez Nicola, Ángel and Hanhart, C. and Peláez Sagredo, José Ramón (2008) Chiral extrapolation of the sigma and rho mesons from dispersion relations and chiral perturbation theory. In Scadron70: workshop on scalar mesons and related topics: honoring michael d. scadron's 70th birthday. AIP Conference Proceedings (1030). Amer Inst Physics. ISBN 0094-243X

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Official URL: http://dx.doi.org/10.1063/1.2973511




Abstract

We review our recent study of the pion mass dependence of the p and a resonances, generated from one-loop SU(2) Chiral Perturbation Theory (ChPT) with the Inverse Amplitude Method (IAM). In order to properly account for the Adler zero region, we also review the recently obtained modified version of the IAM; which is based on analyticity, elastic unitarity and ChPT at low energies, thus yielding the correct pion mass dependence of the resonance pole positions up to next-to-leading order in ChPT. As main results we find that the rho pi pi coupling constant is almost in, independent and that M(rho) shows a smooth m(pi) dependence while that of the sigma shows a strong non-analyticity. These findings are important for studies of the meson spectrum on the lattice.


Item Type:Book Section
Additional Information:

© Amer Inst Physics.
Conferencia: Workshop on Scalar Mesons and Related Topics (2008. Lisboa, Portugal).
We thank the organicers for creating the nice scientific atmosphere of the workshop and the Spanish research contracts No. PR27/05-13955-BSCH, No. FPA2007-29115- E, No. FPA2004-02602, No. UCM-CAM 910309 and No. BFM2003- 0856 for partial finantial support.

Uncontrolled Keywords:Light scalar mesons; One-loop; Scattering; Unitarization; Particles; Amplitude; Quark
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:30368
Deposited On:27 May 2015 09:57
Last Modified:10 Dec 2018 15:09

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