论文标题
$λλN$ - $ξnn$ $ s $ wave共振
$ΛΛN$-$ΞNN$ $S$ wave resonance
论文作者
论文摘要
我们使用$λλN-ξnn$三体系统的现有模型，以两体可分离交互作用来研究$（i，j^p）=（1/2,1/2^+）$三体通道。对于$λλ$，$ξn$和$λλ-ξn$振幅，我们根据HAL QCD协作的最新结果构建了可分离的电势。它们的特征是在所谓的$ h $ -Dibaryon通道中的$ξn$阈值以下或之上存在共振，$（i，j^p）=（0,0,0^+）$。在$ξd$阈值上方出现了三体共振{2.3} MEV。我们表明，如果不考虑$λλ-ξn$ $ $ $ $ h $ -Dibaryon通道，则$λλN-ξnn$ $ s $ wave resonance消失。因此，$λλn -ξnn$共振的可能存在将对$λλ-ξn$相互作用敏感。例如，测量$ξd$横截面可以证明这种共振的存在或不存在。
We use an existing model of the $ΛΛN - ΞNN$ three-body system based in two-body separable interactions to study the $(I,J^P)=(1/2,1/2^+)$ three-body channel. For the $ΛΛ$, $ΞN$, and $ΛΛ- ΞN$ amplitudes we have constructed separable potentials based on the most recent results of the HAL QCD Collaboration. They are characterized by the existence of a resonance just below or above the $ΞN$ threshold in the so-called $H$-dibaryon channel, $(i,j^p)=(0,0^+)$. A three-body resonance appears {2.3} MeV above the $Ξd$ threshold. We show that if the $ΛΛ- ΞN$ $H$-dibaryon channel is not considered, the $ΛΛN - ΞNN$ $S$ wave resonance disappears. Thus, the possible existence of a $ΛΛN - ΞNN$ resonance would be sensitive to the $ΛΛ- ΞN$ interaction. The existence or nonexistence of this resonance could be evidenced by measuring, for example, the $Ξd$ cross section.
