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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 0094243X

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

http://scitation.aip.org/  Publisher 
http://arxiv.org/abs/0803.4318  Organisation 
Abstract
We review our recent study of the pion mass dependence of the p and a resonances, generated from oneloop 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 nexttoleading 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 nonanalyticity. These findings are important for studies of the meson spectrum on the lattice.
Item Type:  Book Section 

Additional Information:  © Amer Inst Physics. 
Uncontrolled Keywords:  Light scalar mesons; Oneloop; Scattering; Unitarization; Particles; Amplitude; Quark 
Subjects:  Sciences > Physics > PhysicsMathematical 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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