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arXiv 2012.09813hep-phhep-exhep-lat
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预测$\bar{D}_s^{(*)} D_s^{(*)}$结合态作为$X(3872)$的伙伴

Predicting the $\bar{D}_s^{(*)} D_s^{(*)}$ bound states as the partners of $X(3872)$

Lu Meng, Bo Wang, Shi-Lin Zhu

备注：
9 pages, 5 figures; add the coupled-channel discussions in EFT; to be published in Science Bulletin
发表信息：
Sci.Bull. 66 (2021) 1288-1295
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摘要：

本文研究了双介子系统的SU（3）味对称性、重夸克自旋对称性及其破缺效应。我们证明了作为SU（3）味对称性和重夸克自旋对称性两个先决条件的结果，$[\bar{D}_{s}^{*}D_{s}^{*}]^{0^{++}}$、$[\bar{D}_{s}^{*}D_{s}/\bar{D}_{s}^{}D_{s}^*]^{1^{+-}}$和$[\bar{D}_{s}^{*}D_{s}^{*}]^{1^{+-}}$束缚态的存在.第一个先决条件，$X(3872)$作为弱$\bar{D}^{*}D/\bar{D} D^{*}$结合态，得到了其质量和衰变分支比的支持。第二个前提是$[\bar{D}_{s}D_{s}]^{0^{++}}$束缚态的存在，这一结论得到了晶格QCD计算[arXiv：2011.02542（hep-lat）]和LHCb合作组对$χ_{c0}(3930)$的观测[Phys.Rev.Lett.125，242001，Phys.Rev.D102，112003]的支持。我们希望未来的实验分析能在$B\to D_{(s)}^{(*)}\bar{D}^{(*)}_{(s)}h$过程中寻找这些束缚态。在$B\to J/ψϕK$衰变中，也预期在$J/ψϕ$最终状态中重建$[\bar{D}_{s}^{*}D_{s}^{*}]^{0^{++}}$结合态。

英文摘要：

In this work, we investigate the SU(3) flavor symmetry, heavy quark spin symmetry and their breaking effects in the di-meson systems. We prove the existence of the $[\bar{D}_{s}^{*}D_{s}^{*}]^{0^{++}}$, $[\bar{D}_{s}^{*}D_{s}/\bar{D}_{s}^{}D_{s}^*]^{1^{+-}}$, and $[\bar{D}_{s}^{*}D_{s}^{*}]^{1^{+-}}$ bound states as the consequence of two prerequisites in the SU(3) flavor symmetry and heavy quark spin symmetry. The first prerequisite, the $X(3872)$ as the weakly $\bar{D}^{*}D/\bar{D} D^{*}$ bound state is supported by its mass and decay branching ratios. The second prerequisite, the existence of the $[\bar{D}_{s}D_{s}]^{0^{++}}$ bound state is supported by the lattice QCD calculation [arXiv:2011.02542(hep-lat)] and the observation of $χ_{c0}(3930)$ by the LHCb Collaboration[Phys.Rev.Lett.125,242001, Phys.Rev.D102,112003]. We hope the future experimental analyses can search for these bound states in the $B\to D_{(s)}^{(*)}\bar{D}^{(*)}_{(s)}h$ processes ($h$ denotes the light hadrons). The $[\bar{D}_{s}^{*}D_{s}^{*}]^{0^{++}}$ bound state is also expected to be reconstructed in the $J/ψϕ$ final state in the $B\to J/ψϕK$ decay.

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