论文标题
部分可观测时空混沌系统的无模型预测
Resonance $X(4630)$
论文作者
论文摘要
我们调查了LHCB协作在该过程中发现的结构$ x（4630）$ $ b^{+} \ rightarrow j/ψϕk^{+} $作为$ j/ψϕ $质量分布的共鸣。我们将这种共振作为diquark-antidiquark状态$ x = [cs] [\ overline {c} \ overline {s}] $，带有spin-parinities $ j^{\ mathrm {pc}}} = 1^{ - +} $。它的质量和当前耦合是使用QCD两点总和方法计算的，它考虑到真空凝结到尺寸$ 10 $。我们还研究了这种四夸克的衰变，以梅森斯$ j/ψϕ $，$η_{c}η^{（\ prime）} $，以及$χ_{c1}η^（\ prime）} $，并计算这些通道的部分宽度。为此，我们采用了轻锥规则方法和软膜近似的技术方法，以在相关的Tetraquark-Meson-Meson顶点提取强耦合。我们对质量$ m =（4632 \ pm 60）〜\ mathrm {mev} $和width $γ=（159 \ pm 31）〜\ mathrm {mev} $ of $ x $的预测是非常不错的协议。这些结果使我们可以将共振$ x（4630）$解释为带有旋转 - 准则$ j^{\ mathrm {pc}}} = 1^{ - +} $的Tetraquark $ x $。
We investigate the structure $X(4630)$ discovered by the LHCb collaboration in the process $B^{+}\rightarrow J/ψϕK^{+}$ as a resonance in the $ J/ψϕ$ mass distribution. We explore this resonance as a diquark-antidiquark state $X=[cs][\overline{c}\overline{s}]$ with spin-parities $J^{\mathrm{PC}}=1^{-+}$. Its mass and current coupling are calculated using the QCD two-point sum rule method by taking into account vacuum condensates up to dimension $10$. We also study decays of this tetraquark to mesons $J/ψϕ$, $η_{c}η^{(\prime )}$, and $χ_{c1}η^{(\prime )}$, and compute partial widths of these channels. To this end, we employ the light-cone sum rule approach and technical methods of soft-meson approximation to extract strong coupling at relevant tetraquark-meson-meson vertices. Our predictions for the mass $m=(4632\pm 60)~\mathrm{MeV}$ and width $Γ=(159\pm 31)~\mathrm{MeV}$ of $X$ are in a very nice agreement with recent measurements of the LHCb collaboration. These results allow us to interpret the resonance $X(4630)$ as the tetraquark $X$ with spin-parities $J^{\mathrm{PC}}=1^{-+}$.
