{ "id": "hep-ph/9604310", "version": "v1", "published": "1996-04-12T19:35:18.000Z", "updated": "1996-04-12T19:35:18.000Z", "title": "The $ππ$ Final State Interaction in $K\\toππ$, $pp\\to ppππ$ and Related Processes", "authors": [ "M. P. Locher", "V. E. Markushin", "H. Q. Zheng" ], "comment": "PACS numbers: 13.75.Lb, 13.25.Es, 13.25.+m, 15 pages in plain latex with epsf.sty, 10 figures", "journal": "Phys.Rev. D55 (1997) 2894-2901", "doi": "10.1103/PhysRevD.55.2894", "categories": [ "hep-ph" ], "abstract": "Final state interactions in the $S$--wave $\\pi\\pi$ system (I=0,2) are re-examined on the basis of the Omn\\`es-Mus\\-khe\\-li\\-shvili equation and the coupled channel formalism. The contributions to the pion scalar form factor from $\\rho$ and $f_2(1270)$ exchange in the $t$--channel and from the $f_0(980)$ $s$--channel resonance are separately evaluated and the role of the nontrivial polynomial in the Omn\\`es function in a coupled channel situation is elucidated. Applications are made to $K\\to \\pi\\pi$ and $pp\\to pp\\pi\\pi$. It is found that the contribution from the $f_0$ resonance to the form-factor is strongly reduced by a nearby zero.", "revisions": [ { "version": "v1", "updated": "1996-04-12T19:35:18.000Z" } ], "analyses": { "subjects": [ "13.75.Lb", "13.25.Es" ], "keywords": [ "final state interaction", "related processes", "pion scalar form factor", "channel resonance", "coupled channel formalism" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "LaTeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "inspire": 417615 } } }