{ "id": "1203.6711", "version": "v1", "published": "2012-03-30T04:26:09.000Z", "updated": "2012-03-30T04:26:09.000Z", "title": "Negative parity $Λ$ and $Σ$ resonances coupled to pseudoscalar and vector mesons", "authors": [ "K. P. Khemchandani", "A. Martínez Torres", "H. Nagahiro", "A. Hosaka" ], "categories": [ "nucl-th" ], "abstract": "An exploration of the dynamically generated $\\Lambda$ and $\\Sigma$ resonances has been made in the vector meson-baryon (VB) systems coupled to pseudoscalar meson-baryon (PB) channels. The VB interactions are obtained from the Lagrangians written within the hidden local symmetry which, in addition to Yukawa-type vector-baryon-baryon (VBB) vertices, naturally gives rise to a contact interaction. Using the VBB vertices, we calculate the $t$-, $s$- and $u$-channel diagrams considering the octet baryon exchange in the latter two cases. For the PB channels we rely on the the Weingberg-Tomozawa interactions and calculate the PB $\\leftrightarrow$ VB transition amplitudes extending the Kroll-Ruderman theorem by replacing the photon by the vector mesons. In addition to the low-lying $\\Lambda(1405)$, $\\Lambda(1670)$ found in previous works, we find resonances which coincide well with: $\\Lambda(2000)$, $\\Sigma(1750) S_{11}$, $\\Sigma(1940) D_{13}$, $\\Sigma(2000) S_{11}$ and predict three $\\Lambda^*$'s with $J^\\pi = 3/2^-$ and masses: $1754 - i2$ MeV, $1862 - i33$ MeV, $2139 - i14$ MeV together with a broad $1/2^-$ $\\Sigma^*$ with mass $\\sim$ 1430 MeV. We find that most of these next-to-low-lying states couple weakly with the pseudoscalar mesons, which implies that it is important to study the reactions with VB final states in order to obtain a reliable information on the properties of such resonances.", "revisions": [ { "version": "v1", "updated": "2012-03-30T04:26:09.000Z" } ], "analyses": { "subjects": [ "12.40.Vv", "13.75.-n", "14.20.Jn" ], "keywords": [ "vector mesons", "negative parity", "pseudoscalar", "resonances", "hidden local symmetry" ], "tags": [ "journal article" ], "publication": { "doi": "10.1103/PhysRevD.85.114020", "journal": "Physical Review D", "year": 2012, "month": "Jun", "volume": 85, "number": 11, "pages": 114020 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1095528, "adsabs": "2012PhRvD..85k4020K" } } }