论文标题

预测$ \ bar {d} _s^{(*)} d_s^{(*)} $绑定状态为$ x(3872)$

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

论文作者

Meng, Lu, Wang, Bo, Zhu, Shi-Lin

论文摘要

在这项工作中,我们研究了SU(3)风味对称性,重夸克自旋对称性及其在Di-Meson系统中的破坏作用。我们证明了$ [\ bar {d} _ {s}^{*} d_ {s}^{*}]^{0^{++}} $, $ [\ bar {d} _ {s}^{*} d_ {s}/\ bar {d} _ {s}^{} d_ {s} d_ {s}^*]^{1^{+ - }}} $, $ [\ bar {d} _ {s}^{*} d_ {s}^{*}]^{1^{+ - }} $绑定的状态是su(3)风味对称性和重型夸克旋转对称性的两个先决条件的结果。第一个先决条件为$ x(3872)$作为弱$ \ bar {d}^{*} d/\ bar {d} d} d^{*} $绑定状态的质量和衰减分支比率支持。第二个先决条件是$ [\ bar {d} _ {s} d_ {s}]^{0^{0^{++}} $ bound状态由lattice QCD计算[arxiv:arxiv:arxiv:arxiv:arxiv:2011.02542(hep-lat)]和$ ub的$ c0(c02542(hep-lat))($ ub)(39330)协作[Phys.Rev.LeTt.125,242001,Phys.Rev.D102,112003]。我们希望未来的实验分析可以在$ b \ to d _ {(s)}^{(*)} \ bar {d}^{(*)} _ {(s)} h $ processes($ h $表示浅色hadrons)中搜索这些约束状态。 $ [\ bar {d} _ {s}^{*} d_ {s}^{*}]^{0^{++}} $也预计$ bound状态也有望在$ j/ψ($ b \ b \ b \ to j/ψϕk $ decay中重建。

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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