标题： 最近的$Ξ$核素束缚态信号的相容性 显示英文标题

标题： Compatibility of recent $Ξ$-nuclear bound state signals

摘要： J-PARC E05最近在 ${^{12}}{\rm C}(K^-,K^+){^{12}_{\Xi}}{\rm Be}$ 谱中报告了一个 $\Xi^--{^{11}{\rm B}}$ 核态的迹象，由 $B_{\Xi^-}=8.9\pm 1.4 {^{+3.8}_{-3.1}}$ MeV 绑定。 使用密度依赖的$\Xi$核光学势$V_{\rm opt}^{\Xi}(\rho)$，我们探讨了这种核态的$\Xi^-_{1s}$分配在多大程度上与$\Xi^-_{1s}$和$\Xi^-_{1p}$核态对$\Xi^-$俘获事件的解释相容。 我们发现目前唯一可接受的$\Xi^-_{1s}$分配，除非$V_{\rm opt}^{\Xi}(\rho)$有异常强的排斥$\rho^2$成分，否则是针对$\Xi^--{^{11}{\rm B}}$信号的。 这一发现支持将$\Xi^-$的捕获事件重新归类为$^{14}$N 中的$\Xi^0_{1p}-{^{14}{\rm C}}$核态，这些事件最初被归类为$\Xi^-_{1s}-{^{14}{\rm N}}$核态。 $V_{\rm opt}^{\Xi}(\rho)$在核物质密度$\rho_0=0.17$ fm$^{-3}$处的深度然后是$-V_{\rm opt}^{\Xi}(\rho_0)\sim 21$MeV. 显示英文摘要

摘要： J-PARC E05 reported recently a hint of a $\Xi^--{^{11}{\rm B}}$ nuclear state in the ${^{12}}{\rm C}(K^-,K^+){^{12}_{\Xi}}{\rm Be}$ spectrum, bound by $B_{\Xi^-}=8.9\pm 1.4 {^{+3.8}_{-3.1}}$ MeV. Using a density-dependent $\Xi$-nuclear optical potential $V_{\rm opt}^{\Xi}(\rho)$ we explore to what extent a $\Xi^-_{1s}$ assignment of this nuclear state is compatible with $\Xi^-_{1s}$ and $\Xi^-_{1p}$ nuclear-state interpretations of $\Xi^-$ capture events in light emulsion-nuclei experiments. We find that the only acceptable $\Xi^-_{1s}$ assignment at present, barring an abnormally strong repulsive $\rho^2$ component of $V_{\rm opt}^{\Xi}(\rho)$, is that for the $\Xi^--{^{11}{\rm B}}$ signal. This finding supports reassigning $\Xi^-$ capture events in $^{14}$N, originally assigned as $\Xi^-_{1s}-{^{14}{\rm N}}$ nuclear states, to $\Xi^0_{1p}-{^{14}{\rm C}}$ nuclear states. The depth of $V_{\rm opt}^{\Xi}(\rho)$ at nuclear-matter density $\rho_0=0.17$ fm$^{-3}$ is then $-V_{\rm opt}^{\Xi}(\rho_0)\sim 21$ MeV.