{ "id": "2106.11450", "version": "v1", "published": "2021-06-21T23:37:13.000Z", "updated": "2021-06-21T23:37:13.000Z", "title": "Hidden charm pentaquark with strangeness $P_{cs}^*(4739)$ as a $Σ_{c}\\bar{D}\\bar{K}$ bound state", "authors": [ "Tian-Wei Wu", "Ya-Wen Pan", "Ming-Zhu Liu", "Jun-Xu Lu", "Li-Sheng Geng", "Xiao-Hai Liu" ], "comment": "17 pages, 4 figures", "categories": [ "hep-ph", "hep-ex", "hep-lat" ], "abstract": "Motivated by the recent discovery of the first hidden charm pentaquark state with strangeness $P_{cs}(4459)$ by the LHCb Collaboration, we study the likely existence of a three-body $\\Sigma_{c}\\bar{D}\\bar{K}$ bound state, which shares the same minimal quark content as $P_{cs}(4459)$. The $\\Sigma_{c}\\bar{D}$ and $DK$ interactions are determined by reproducing $P_c(4312)$ and $D_{s0}^*(2317)$ as $\\Sigma_c\\bar{D}$ and $\\bar{D}\\bar{K}$ molecules, respectively, while the $\\Sigma_c\\bar{K}$ interaction is constrained by chiral effective theory. We indeed find a three-body bound state by solving the Schr\\\"odinger equation using the Gaussian Expansion Method, which can be viewed as an excited hidden charm pentaquark state with strangeness, $P_{cs}^*(4739)$, with $I(J^P)=1(1/2^+)$ and a binding energy of $77.8^{+25}_{-10.3}$ MeV. We further study its strong decays via triangle diagrams and show that its partial decay widths into $D\\Xi_c'$ and $D_s^*\\Sigma_c$ are of a few ten's MeV, with the former being dominant.", "revisions": [ { "version": "v1", "updated": "2021-06-21T23:37:13.000Z" } ], "analyses": { "keywords": [ "strangeness", "first hidden charm pentaquark state", "excited hidden charm pentaquark state", "gaussian expansion method", "three-body bound state" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }