Exploring the $P$-wave bottom-strange molecular pentaquarks with the complex scaling method

Abstract

In this work, we perform a systematic investigation of the $P$-wave $Σ_b K/Λ_b K^{*}/Σ_b K^{*}$ and $Σ_b\bar{K}/Λ_b\bar{K}^{*}/Σ_b\bar{K}^{*}$ systems for all possible $I(J^P)$ combinations. In contrast to our earlier study of the negative-parity sector [Eur. Phys. J. C \textbf{85}, 1026 (2025)], the positive-parity sector is dominated by resonances. For the coupled-channel $I(J^P)=1/2(1/2^+)$ $Σ_b K/Λ_b K^*/Σ_b K^*$ system, we predict a narrow resonance above the $Σ_b K$ threshold. In the $I(J^P)=1/2(3/2^+)$ $Λ_b K^*/Σ_b K^*$ system, a molecular resonance candidate is found above the $Λ_b K^*$ threshold. For the higher-isospin $I=3/2$ sector, resonances are identified in the $Σ_b K^*$ subsystem for both $J^P=1/2^+$ and $3/2^+$ cases, though both states exhibit relatively compact sizes. We also extend our analysis to the $Σ_b\bar{K}/Λ_b\bar{K}^{*}/Σ_b\bar{K}^{*}$ systems, where a cutoff-sensitive resonance is found in the $I(J^P)=1/2(1/2^+)$ configuration. A broad molecular resonance candidate is found below the $Σ_b\bar{K}^*$ threshold in the $I(J^P)=1/2(3/2^+)$ system. We hope that these predictions provide useful guidance for future experimental searches for bottom-strange molecular pentaquarks by LHCb.