{ "id": "1803.07795", "version": "v1", "published": "2018-03-21T08:33:56.000Z", "updated": "2018-03-21T08:33:56.000Z", "title": "Phenomenological study on the decay widths of $Υ(nS)\\rightarrow \\bar{d}^{\\ast}(2380)+X$", "authors": [ "Chao-Yi Lü", "P. Wang", "Y. B. Dong", "P. N. Shen", "Z. Y. Zhang", "D. M. Li" ], "categories": [ "hep-ph", "nucl-th" ], "abstract": "The decay widths of $\\Upsilon(nS)$ $\\rightarrow$ $\\bar{d}^{\\ast}(2380)+X$ with $n=1,2,3$ are studied in a phenomenological way. With the help of crossing symmetry, the decay widths are obtained by investigating the imaginary part of the forward scattering amplitudes between $d^\\ast$ and $\\Upsilon(nS)$. The wave functions of $d^\\ast$ and deuteron obtained in previous studies are used for calculating the amplitude. The interaction between $d^{\\ast}$ ($d$) and $\\Upsilon$ is governed by the quark-meson interaction where the coupling constant is determined by fitting the observed widths of $\\Upsilon(nS)$ $\\rightarrow$ $\\bar{d}+X$. The numerical results show that the decay widths of $\\Upsilon(nS)$ $\\rightarrow$ $\\bar{d}^{\\ast}+X$ are about $2 - 10$ times smaller than that of $\\bar{d}+X$. The calculated momentum of $\\bar{d^*}$ is in the range $0.3-0.8$ GeV. Therefore, it is very likely that one can find $\\bar{d}^\\ast(2380)$ in these semi-inclusive decay processes.", "revisions": [ { "version": "v1", "updated": "2018-03-21T08:33:56.000Z" } ], "analyses": { "keywords": [ "decay widths", "phenomenological study", "wave functions", "imaginary part", "quark-meson interaction" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }