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dc.contributor.authorBlack, Deirdre
dc.contributor.authorFariborz, Amir H
dc.contributor.authorJora, Renata
dc.contributor.authorPark, Nae Woong
dc.contributor.authorSchechter, Joseph
dc.contributor.authorShahid, M Naeem
dc.date.accessioned2010-01-13T11:44:16Z
dc.date.available2010-01-13T11:44:16Z
dc.date.issued2009-09-14
dc.identifier.citationModern Physics Letters
dc.identifier.issn0217-7323
dc.identifier.urihttp://www.dspace.cam.ac.uk/handle/1810/223968
dc.description.abstract<jats:p> First it is shown that the tree amplitude for pion–pion scattering in the minimal linear sigma model has an exact expression which is proportional to a geometric series in the quantity [Formula: see text], where m<jats:sub>B</jats:sub> is the sigma mass which appears in the Lagrangian and is the only a priori unknown parameter in the model. This induces an infinite series for every predicted scattering length in which each term corresponds to a given order in the chiral perturbation theory counting. It is noted that, perhaps surprisingly, the pattern, though not the exact values, of chiral perturbation theory predictions for both the isotopic spin 0 and isotopic spin 2 s-wave pion–pion scattering lengths to orders p<jats:sup>2</jats:sup>, p<jats:sup>4</jats:sup> and p<jats:sup>6</jats:sup> seems to agree with this induced pattern. The values of the p<jats:sup>8</jats:sup> terms are also given for comparison with a possible future chiral perturbation theory calculation. Further aspects of this approach and future directions are briefly discussed. </jats:p>
dc.language.isoen
dc.publisherWorld Scientific Pub Co Pte Lt
dc.relation.ispartofseriesMod. Phys. Lett. A 24: 2285 - 2289, 2009
dc.rightsAll Rights Reserved
dc.rights.urihttps://www.rioxx.net/licenses/all-rights-reserved/
dc.titleREMARK ON PION SCATTERING LENGTHS
dc.typeArticle
dc.type.versionnot applicable
prism.publicationNameMODERN PHYSICS LETTERS A
pubs.declined2017-10-11T13:54:28.220+0100
rioxxterms.versionofrecord10.1142/S0217732309031533
dc.identifier.eissn1793-6632
pubs.funder-project-idScience and Technology Facilities Council (ST/G000581/1)
pubs.funder-project-idScience and Technology Facilities Council (ST/J000434/1)
cam.issuedOnline2011-11-21


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