Chiral perturbation theory, the 1/N_c expansion and Regge behavior determine the structure of the lightest scalar meson
| dc.contributor.author | Peláez Sagredo, José Ramón | |
| dc.contributor.author | Pennington, M. R. | |
| dc.contributor.author | Ruiz De Elvira Carrascal, Jacobo | |
| dc.contributor.author | Wilson, D. J. | |
| dc.date.accessioned | 2023-06-20T04:01:19Z | |
| dc.date.available | 2023-06-20T04:01:19Z | |
| dc.date.issued | 2011-11-09 | |
| dc.description | ©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. | |
| dc.description.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. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | EU-RTN | |
| dc.description.sponsorship | UK STFC | |
| dc.description.sponsorship | DOE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/34656 | |
| dc.identifier.doi | 10.1103/PhysRevD.84.096006 | |
| dc.identifier.issn | 1550-7998 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevD.84.096006 | |
| dc.identifier.relatedurl | http://journals.aps.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/44814 | |
| dc.issue.number | 9 | |
| dc.journal.title | Physical review D | |
| dc.language.iso | eng | |
| dc.publisher | Amer Physical Soc | |
| dc.relation.projectID | MRTN–CT-2006-035482 | |
| dc.relation.projectID | DE-AC05-06OR23177 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Energy sum-rules | |
| dc.subject.keyword | Pion-pion scattering | |
| dc.subject.keyword | N-C behavior | |
| dc.subject.keyword | Elastic-scattering | |
| dc.subject.keyword | One-loop | |
| dc.subject.keyword | Resonances | |
| dc.subject.keyword | Lagrangians | |
| dc.subject.keyword | Amplitudes | |
| dc.subject.keyword | Model | |
| dc.subject.keyword | Nonet | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | Chiral perturbation theory, the 1/N_c expansion and Regge behavior determine the structure of the lightest scalar meson | |
| dc.type | journal article | |
| dc.volume.number | 84 | |
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