Study of the resonance contributions in the $\Xi_{b}^{-} \rightarrow pK^{-}K^{-}$ decay

TL;DR

This study analyzes the decay $\\Xi_{b}^{-} \\rightarrow pK^{-}K^{-}$ focusing on resonance contributions from meson-baryon interactions and intermediate states, successfully explaining experimental data and providing insights into the decay mechanisms.

Contribution

It introduces a detailed final state interaction model including $S$-wave and $D$-wave resonances, notably $\\Lambda(1405)$, $\\Lambda(1670)$, and $\\Lambda(1520)$, to describe the decay process.

Findings

Resonances $\\Lambda(1405)$ and $\\Lambda(1670)$ significantly contribute.

The $\\Lambda(1520)$ D-wave state is important.

Predicted branching fractions align with experimental data.

Abstract

The decay process $\Xi_{b}^{-} \rightarrow pK^{-}K^{-}$ is studied with the final state interaction approach by considering the contributions from the $S$-wave meson-baryon interactions, and also the intermediate state $\Lambda(1520)$ in the $D$-wave. The low-lying resonances $\Lambda(1405)$ and $\Lambda(1670)$ have significant contributions, which are both dynamically generated from the $S$-wave final state interactions with isospin $I=0$. Furthermore, the $\Lambda(1520)$ state also has important contributions from $D$-wave. With these resonances contributions, the experimental data of the lower $pK^{-}$ invariant mass distributions are well described. We also discuss the contribution of another resonance in the $S$-wave with isospoin $I=1$, which cannot be ignored. Moreover, some of the branching fractions obtained for the corresponding decay channels are consistent with the experimental measurements.