{ "id": "0812.2136", "version": "v2", "published": "2008-12-11T12:49:39.000Z", "updated": "2009-09-11T10:23:05.000Z", "title": "On the possibility to observe higher $n^3D_1$ bottomonium states in the $e^+e^-$ processes", "authors": [ "A. M. Badalian", "B. L. G. Bakker", "I. V. Danilkin" ], "comment": "5 pages, no figures", "journal": "Phys.Rev.D79:037505,2009", "doi": "10.1103/PhysRevD.79.037505", "categories": [ "hep-ph", "hep-ex" ], "abstract": "The possibility to observe new bottomonium states with $J^{PC}= 1^{--}$ in the region $10.7-11.1$ GeV is discussed. The analysis of the di-electron widths shows that the $(n+1)^3S_1$ and $n^3D_1$ states ($n\\geq 3$) may be mixed with a rather large mixing angle, $\\theta\\sim30^\\circ$ and this effect provides the correct values of $\\Gamma_{ee}(\\Upsilon(10580))$ and $\\Gamma_{ee}(\\Upsilon(11020))$. On the other hand, the $S-D$ mixing gives rise to an increase by two orders of magnitude of the di-electron widths of the mixed $\\tilde\\Upsilon(n^3D_1$) resonances ($n=3,4,5$), which originate from pure $D-$wave states. The value $\\Gamma_{ee}(\\tilde\\Upsilon(3D))=0.095^{+0.028}_{-0.025}$ keV is obtained, being only $\\sim 3$ times smaller than the di-electron width of $\\Upsilon(10580)$, while $\\Gamma_{ee}(\\tilde\\Upsilon(5D))\\sim 135$ eV appears to be close to $\\Gamma_{ee}(\\Upsilon(11020))$ and therefore this resonance may become manifest in the $e^+e^-$ experiments. The mass differences between $M(nD)$ and $M((n+1)S) (n=4,5)$ are shown to be rather small, $50\\pm 10$ MeV.", "revisions": [ { "version": "v2", "updated": "2009-09-11T10:23:05.000Z" } ], "analyses": { "subjects": [ "13.20.Gd", "14.40.Lb", "14.40.Nd" ], "keywords": [ "bottomonium states", "di-electron width", "possibility", "correct values", "large mixing angle" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review D", "year": 2009, "month": "Feb", "volume": 79, "number": 3, "pages": "037505" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "inspire": 804977, "adsabs": "2009PhRvD..79c7505B" } } }