AI 中文总结
研究基态底重子与反底介子P波相互作用产生的隐底分子五夸克态，用单玻色子交换模型及耦合通道效应推导有效势，求解方程找束缚态解和共振极点，获丰富候选谱，为相关实验搜索提供指导。
AI 中文摘要
在这项工作中，我们对隐底分子五夸克态进行了系统研究，包括束缚态和共振态，它们源于基态底重子（Λb，Σb^(*)）和基态反底介子（B^(*)）之间的P波相互作用。采用单玻色子交换模型并包括耦合通道效应，我们推导了所有允许量子数I(J^P)=1/2(1/2^+)、1/2(3/2^+)、1/2(5/2^+)、1/2(7/2^+)、3/2(1/2^+)、3/2(3/2^+)、3/2(5/2^+)和3/2(7/2^+)的有效势。然后求解耦合通道薛定谔方程以寻找束缚态解并进行相移分析以识别共振极点。我们的结果揭示了丰富的正宇称隐底分子五夸克候选谱。在同位旋I = 1/2扇区，我们发现了几个松散束缚态和相关共振，特别是在ΣbB*和Σb*B*通道中，耦合通道动力学在它们的形成中起重要作用。在同位旋I = 3/2扇区，由于同位旋因子，吸引力通常较弱。然而，我们仍然获得了松散束缚态和共振，例如J^P = 3/2^+、5/2^+和7/2^+的Σb*B*态。高自旋分波的突出，例如^6P_J分量，强调了自旋-自旋和张量相互作用的重要性。我们的预测提供了P波隐底分子五夸克态的全面系统谱，并为未来在LHCb和Belle II的实验搜索提供了明确指导。
英文摘要
In this work, we perform a systematic investigation of the hidden-bottom molecular pentaquark states, encompassing both bound states and resonances, which originate from the $P$-wave interactions between ground-state bottom baryons ($Λ_b$, $Σ_b^{(*)}$) and ground-state antibottom mesons ($B^{(*)}$). Adopting the one-boson-exchange model and including the coupled-channel effects, we derive the effective potentials for all allowed quantum numbers $I(J^P) = 1/2(1/2^+)$, $1/2(3/2^+)$, $1/2(5/2^+)$, $1/2(7/2^+)$, $3/2(1/2^+)$, $3/2(3/2^+)$, $3/2(5/2^+)$, and $3/2(7/2^+)$. We then solve the coupled-channel Schrödinger equations to search for the bound-state solutions and perform the phase-shift analyses to identify resonance poles. Our results reveal a rich spectrum of positive-parity hidden-bottom molecular pentaquark candidates. In the isospin $I=1/2$ sector, we find several loosely bound states and associated resonances, particularly in the $Σ_b B^*$ and $Σ_b^* B^*$ channels, where the coupled-channel dynamics plays an essential role in their formation. In the isospin $I=3/2$ sector, the attraction is generally weaker because of the isospin factors. Nevertheless, we still obtain the loosely bound states and resonances, such as the $Σ_b^* B^*$ states with $J^P=3/2^+$, $5/2^+$, and $7/2^+$. The prominence of high-spin partial waves, for instance the $^6P_J$ components, underscores the importance of the spin-spin and tensor interactions. Our predictions provide a comprehensive and systematic spectrum of the $P$-wave hidden-bottom molecular pentaquark states and offer clear guidance for future experimental searches at LHCb and Belle~II.
Comments18 pages, 8 figures
