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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
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.
Item Type: | Article |
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Additional Information: | ©2011 American Physical Society. |
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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