{ "id": "1003.2834", "version": "v2", "published": "2010-03-15T00:38:32.000Z", "updated": "2010-09-05T15:01:48.000Z", "title": "Quartet of spin-3/2 baryons in chiral multiplet $(1, 1/2) \\oplus (1/2, 1) $ with mirror assignment", "authors": [ "Keitaro Nagata" ], "comment": "23 pages, 1figures, 6tables. Published in Phys.Rev.D82:034007,2010", "journal": "Phys.Rev.D82:034007,2010", "doi": "10.1103/PhysRevD.82.034007", "categories": [ "hep-ph", "hep-ex", "nucl-ex", "nucl-th" ], "abstract": "We study the possible existence of chiral partners in the spin-$\\thalf$ sector of the baryon spectrum. We consider a quartet scheme where four spin-3/2 baryons, $P_{33}$, $D_{33}$, $D_{13}$ and $P_{13}$, group into higher-dimensional chiral multiplets $(1, \\half)\\oplus (\\half,1)$ with a mirror assignment. With an effective $SU(2)_R\\times SU(2)_L$ Lagrangian, we derive constraints imposed by chiral symmetry together with the mirror assignment on the masses and coupling constants of the quartet. Using the effective Lagrangian, we try to find a set of baryons suitable for the chiral quartet. It turns out that two cases reasonably agree with the mass pattern of the quartet: ($\\Delta(1600)$, $\\Delta(1940)$, $N(1520)$, $N(1720)$) and ($\\Delta(1920)$, $\\Delta(1940)$, $N(2080)$, $N(1900)$).", "revisions": [ { "version": "v2", "updated": "2010-09-05T15:01:48.000Z" } ], "analyses": { "subjects": [ "14.20.Gk", "12.39.Fe", "14.65.Bt", "13.30.Eg" ], "keywords": [ "mirror assignment", "higher-dimensional chiral multiplets", "chiral partners", "chiral symmetry", "lagrangian" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review D", "year": 2010, "month": "Aug", "volume": 82, "number": 3, "pages": "034007" }, "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "inspire": 848920, "adsabs": "2010PhRvD..82c4007N" } } }