{ "id": "0804.3185", "version": "v1", "published": "2008-04-20T10:49:38.000Z", "updated": "2008-04-20T10:49:38.000Z", "title": "$πN$ and $ππN$ Couplings of the $Δ(1232)$ and its Chiral Partners", "authors": [ "K. Nagata", "A. Hosaka", "V. Dmitrasinovic" ], "journal": "Phys.Rev.Lett.101:092001,2008", "doi": "10.1103/PhysRevLett.101.092001", "categories": [ "hep-ph" ], "abstract": "We investigate the interactions and chiral properties of the four spin-$\\thalf$-baryons : $N^-(D_{13})$, $N^+(P_{13})$, $\\Delta^+(P_{33})$ and $\\Delta^-(D_{33})$ together with the nucleon. We construct the $SU(2)_R \\times SU(2)_L$ invariant interactions between the spin-$\\half$ and -$\\thalf$ baryons with the aid of a new, specially developed spin and isospin projection technique for these baryon fields, where the chiral invariant interactions contain one- and two-pion couplings. We obtain simple relations for the coupling constants of the one- and two-pion spin $\\half-\\thalf$ transitions terms. The relation for the one-pion interactions reasonably agrees with the experiments, which suggests that these spin-$\\thalf$ baryons are chiral partners.", "revisions": [ { "version": "v1", "updated": "2008-04-20T10:49:38.000Z" } ], "analyses": { "subjects": [ "14.20.Gk", "12.39.Fe", "14.65.Bt", "13.30.Eg" ], "keywords": [ "chiral partners", "chiral invariant interactions contain", "one-pion interactions reasonably agrees", "isospin projection technique", "two-pion couplings" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2008, "month": "Aug", "volume": 101, "number": 9, "pages": "092001" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 783804, "adsabs": "2008PhRvL.101i2001N" } } }