论文标题
隐藏的底部分子状态来自$σ^{（*）} _ bb^{（*）}-λ_bb^{（*）} $互动
Hidden-bottom molecular states from $Σ^{(*)}_bB^{(*)}-Λ_bB^{(*)}$ interaction
论文作者
论文摘要
在这项工作中，我们研究了可能的隐藏底部分子pentaquarks $ p_b $从耦合通道 - 通道$σ^{（*）} _ bb^{（*）} - λ_bb^{（*）} $相互作用在quasipotential bethe bethe-salpeter方程中的相互作用。在具有$ i = 1/2 $的Isodoublet扇区中，具有相同的合理参数，交互产生了七个分子状态，一个近似$σ_bb$ threshold的状态，带有旋转平等$ j^p = 1/2^ - $，一个$σ^*_ bb $的状态，带有$ 3/2^ - 2^ - 2^ - $σ__$ 1/2^$ 1/$ 3/2^ - $ 1/$ 3/2^ - $ 1/ $ 3/2^ - $，以及$σ_b^*b^*$ threshold，带有$ 1/2^ - $，$ 3/2^ - $和$ 5/2^ - $的三个状态。结果表明，接近$σ_b^*b^*$阈值的三个状态和接近$σ_bb^*$阈值的两个状态分别非常接近，在没有部分波浪分析的情况下，在实验中可能很难区分。与隐藏的pentaquark相比，$ p_b $状态相对较窄，宽度为1 mev或更小的数量级。还讨论了每个所考虑的通道的重要性，发现$λ_bb^*$通道为这些状态的宽度提供了重要的贡献。在具有$ i = 3/2 $的Isoquartet部门中，应大大扩大截止，以从交互中实现约束状态，这使得这种状态的存在不可靠。当前工作中的结果有助于在未来的实验中搜索隐藏的底部分子五夸克，例如中国的指南针，J-PARC和电子离子对撞机（EICC）。
In this work, we study possible hidden-bottom molecular pentaquarks $P_b$ from coupled-channel $Σ^{(*)}_bB^{(*)}-Λ_bB^{(*)}$ interaction in the quasipotential Bethe-Salpeter equation approach. In isodoublet sector with $I=1/2$, with the same reasonable parameters the interaction produces seven molecular states, a state near $ Σ_bB$ threshold with spin parity $J^P=1/2^-$, a state near $Σ^*_bB$ threshold with $3/2^-$, two states near $Σ_bB^*$ threshold with $1/2^-$ and $3/2^-$, and three states near $Σ_b^*B^*$ threshold with $1/2^-$, $3/2^-$, and $5/2^-$. The results suggest that three states near $Σ_b^* B^*$ threshold and two states near $Σ_b B^*$ threshold are very close, respectively, which may be difficult to distinguish in experiment without partial wave analysis. Compared with the hidden-charm pentaquark, the $P_b$ states are relatively narrow with widths at an order of magnitude of 1 MeV or smaller. The importance of each channel considered is also discussed, and it is found that the $Λ_b B^*$ channel provides important contribution for the widths of those states. In isoquartet sector with $I=3/2$, cutoff should be considerably enlarged to achieve bound states from the interaction, which makes the existence of such states unreliable. The results in the current work are helpful for searching for hidden-bottom molecular pentaquarks in future experiments, such as the COMPASS, J-PARC, and the Electron Ion Collider in China (EicC).
