{ "id": "2308.14072", "version": "v1", "published": "2023-08-27T11:08:18.000Z", "updated": "2023-08-27T11:08:18.000Z", "title": "Production of charmonium $χ_{cJ}(2P)$ plus one $ω$ meson by $e^+e^-$ annihilation", "authors": [ "Ri-Qing Qian", "Xiang Liu" ], "comment": "7 pages and 6 figures", "categories": [ "hep-ph", "hep-ex" ], "abstract": "Inspired by the recent observation of $e^+e^-\\to \\omega X(3872)$ by the BESIII Collaboration, in this work we study the production of the charmonium $\\chi_{cJ}(2P)$ by $e^+e^-$ annihilation. We find that the $e^+e^-\\to\\omega\\chi_{c0}(2P)$ and $e^+e^-\\to \\omega\\chi_{c2}(2P)$ have sizable production rates, when taking the cross section data from $e^+e^-\\to \\omega X(3872)$ as the scaling point and treating the $X(3872)$ as the charmonium $\\chi_{c1}(2P)$. Considering that the dominant decay modes of $\\chi_{c0}$ and $\\chi_{c2}(2P)$ involve $D\\bar{D}$ final states, we propose that $e^+e^-\\to \\omega D\\bar{D}$ is an ideal process to identify $\\chi_{c0}(2P)$ and $\\chi_{c2}(2P)$, which is similar to the situation that happens in the $D\\bar{D}$ invariant mass spectrum of the $\\gamma\\gamma\\to D\\bar{D}$ and $B^+\\to D^+{D}^- K^+$ processes. With continuous accumulation of experimental data, these proposed production processes offer a promising avenue for exploration by the BESIII and Belle II collaborations.", "revisions": [ { "version": "v1", "updated": "2023-08-27T11:08:18.000Z" } ], "analyses": { "keywords": [ "charmonium", "annihilation", "cross section data", "dominant decay modes", "invariant mass spectrum" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }