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New dispersion relations in the description of π π scattering amplitudes

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dc.contributor.authorKamiński, Robert
dc.contributor.authorGarcia-Martin, R.
dc.contributor.authorGrynkiewicz, P.
dc.contributor.authorPeláez Sagredo, José Ramón
dc.contributor.authorYndurain, F.J.
dc.date.accessioned2023-06-20T04:03:02Z
dc.date.available2023-06-20T04:03:02Z
dc.date.issued2009-01-30
dc.description©World Scientific Publishing Company. Conference MESON 2008 (2008. Cracow, Polonia). This work is dedicated to memory of our good friend Prof. F. J. Yndurain, who very unfortunately passed away during the completion of this work. We thank Spanish research contracts PR27/05-13955-BSCH, FPA2004-02602, UCM-CAM 910309 and BFM2003-00856 for partial financial support.
dc.description.abstractWe present a set of once subtracted dispersion relations which implement crossing symmetry conditions for the ππ scattering amplitudes below 1 GeV. We compare and discuss the results obtained for the once and twice subtracted dispersion relations, known as Roy’s equations, for three ππ partial JI waves, S0, P and S2. We also show that once subtracted dispersion relations provide a stringent test of crossing and analyticity for ππ partial wave amplitudes, remarkably precise in the 400 to 1.1 GeV region, where the resulting uncertainties are significantly smaller than those coming from standard Roy’s equations, given the same input.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUCM-CAM
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/35160
dc.identifier.doi10.1142/S0217751X09043730
dc.identifier.issn0217-751X
dc.identifier.officialurlhttp://dx.doi.org/10.1142/S0217751X09043730
dc.identifier.relatedurlhttp://www.worldscientific.com
dc.identifier.relatedurlhttp://arxiv.org/abs/0809.4766#
dc.identifier.urihttps://hdl.handle.net/20.500.14352/44850
dc.issue.number2-mar
dc.journal.titleInternational journal of modern physics A
dc.language.isoeng
dc.page.final409
dc.page.initial402
dc.publisherWorld scientific publ co pte LTD
dc.relation.projectIDPR27/05-13955-BSCH
dc.relation.projectIDFPA2004-02602
dc.relation.projectID910309
dc.relation.projectIDBFM2003-00856
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordEquation
dc.subject.keywordPion-pion amplitudes
dc.subject.keywordRoy's equations
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleNew dispersion relations in the description of π π scattering amplitudes
dc.typejournal article
dc.volume.number24
dcterms.references1. S.M. Roy, Phys. Lett. B 36, 353 (1971). 2. B. Ananthanarayan et al., Phys. Rept. 353, 207 (2001). 3. G. Colangelo, J. Gasser and H. Leutwyler, Nucl. Phys. B 603, 125 (2001). 4. S. Descotes-Genon, N. H. Fuchs, L. Girlanda and J. Stern, Eur. Phys. J. C 24, 469 (2002) 5. R. Kaminski, J.R. Pelaez and F.J. Yndurain, Phys. Rev. D 77, 054015 (2008). 6. R. Kaminski, J.R. Pelaez and F.J. Yndurain, Phys. Rev. D 74, 014001 (2006). J.R. Pelaez and F.J. Yndurain, Phys. Rev. D 71, 074016 (2005). 7. M. R. Pennington and S. D. Protopopescu, Phys. Rev. D 7, 1429 (1973); Phys. Rev. D 7, 2591 (1973). 8. R. Kaminski, L. Lesniak and B. Loiseau, Phys. Lett. B 551, 241 (2003). 9. S. Pislak et al., Phys. Rev. Lett. 87, 221801 (2001). 10. J. R. Batley et al., CERN-PH-EP-2007-035 (2008). 11. I. Caprini, G. Colangelo, H. Leutwyler, Int. J. Mod. Phys. A 21, 954 (2006); Phys. Rev. Lett. 96, 132001 (2006).
dspace.entity.typePublication
relation.isAuthorOfPublication70900239-cb8b-49f3-931f-9dc6a8b7d8d5
relation.isAuthorOfPublication.latestForDiscovery70900239-cb8b-49f3-931f-9dc6a8b7d8d5

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