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Chiral perturbation theory, the 1/N_c expansion and Regge behavior determine the structure of the lightest scalar meson

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Peláez Sagredo, José Ramón and Pennington, M. R. and Ruiz de Elvira, Jacobo and Wilson, D. J. (2011) Chiral perturbation theory, the 1/N_c expansion and Regge behavior determine the structure of the lightest scalar meson. Physical review D, 84 (9). ISSN 1550-7998

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Official URL: http://dx.doi.org/10.1103/PhysRevD.84.096006


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Abstract

The leading 1=N_c behavior of unitarized chiral perturbation theory distinguishes the nature of the ρ and the : The is a qq̅ meson, while the σ is not. However, semilocal duality between resonances and Regge behavior cannot be satisfied for larger N_c, if such a distinction holds. While the σ at N_c = 3 is inevitably dominated by its di-pion component, unitarized chiral perturbation theory also suggests that as N_c increases above 6–8, the σ may have a subdominant qq̅ fraction up at 1.2 GeV. Remarkably this ensures semilocal duality is fulfilled for the range of Nc ≤ 15–30, where the unitarization procedure adopted applies.


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©2011 American Physical Society.
M. R. P is grateful to Bob Jaffe for discussions about the issues raised at the start of this study. The authors (J. R. de E, M. R. P and D. J. W) acknowledge partial support of the EU-RTN Programme, Contract No. MRTN–CT-2006-035482, ‘‘Flavianet’’ for this work, while at the IPPP in Durham. D. J. W is grateful to the UK STFC for the award of a postgraduate studentship and to Jefferson Laboratory for hospitality while this work was completed. This work was supported in part by DOE Contract No. DE-AC05-06OR23177, under which Jefferson Science Associates, LLC, operates Jefferson Laboratory.

Uncontrolled Keywords:Energy sum-rules; Pion-pion scattering; N-C behavior; Elastic-scattering; One-loop; Resonances; Lagrangians; Amplitudes; Model; Nonet
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:34656
Deposited On:16 Dec 2015 16:48
Last Modified:10 Dec 2018 15:09

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