Study of the resonance contributions in the ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$ decay

Abstract

The decay process ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$ 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 $p{K}^{-}$ 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.

Comments: 18 pages, 6 figures, 3 tables, published in Phys. Rev. D