Study of ${\Lambda }_b\to \Lambda (\varphi ,{\eta }^{(\prime )})$ and ${\Lambda }_b\to \Lambda K^{+}{K}^{-}$ decays

Abstract

We study the charmless two-body ${\Lambda }_b\to \Lambda (\varphi ,{\eta }^{(\prime )})$ and three-body ${\Lambda }_b\to \Lambda K^{+}{K}^{-}$ decays. We obtain $\mathcal{B}({\Lambda }_b\to \Lambda \varphi )=(3.53\pm 0.24)\times 10^{-6}$ to agree with the recent LHCb measurement. However, we find that $\mathcal{B}({\Lambda }_b\to \Lambda (\varphi \to )K^{+}{K}^{-})=(1.71\pm 0.12)\times 10^{-6}$ is unable to explain the LHCb observation of $\mathcal{B}({\Lambda }_b\to \Lambda K^{+}{K}^{-})=(15.9\pm 1.2\pm 1.2\pm 2.0)\times 10^{-6}$, which implies the possibility for other contributions, such as that from the resonant ${\Lambda }_b\to K^{-}{N}^{\ast },N^{\ast }\to \Lambda K^{+}$ decay with $N^{\ast }$ as a higher-wave baryon state. For ${\Lambda }_b\to \Lambda {\eta }^{(\prime )}$, we show that $\mathcal{B}({\Lambda }_b\to \Lambda \eta ,\Lambda {\eta }^{\prime })=(1.47\pm 0.35,1.83\pm 0.58)\times 10^{-6}$, which are consistent with the current data of $(9.3_{-5.3}^{+7.3},<3.1)\times 10^{-6}$, respectively. Our results also support the relation of $\mathcal{B}({\Lambda }_b\to \Lambda \eta )\simeq \mathcal{B}({\Lambda }_b\to \Lambda {\eta }^{\prime })$, given by the previous study.

arXiv comment8 pages, 1 figure, revised version accepted by EPJC

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Cited by in corpus (10)

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• Non-leptonic two-body weak decays of ${\Lambda }_c(2286)$
• The semi-leptonic and non-leptonic weak decays of ${\Lambda }_b^0$
• Charmless two-body anti-triplet $b$-baryon decays
• Study of $\itΛ_{\it{b}}^\rm{0}$ and $\itΞ_{\it{b}}^\rm{0}$ decays to $\Lambda h^{+}{h}^{{}^{\prime }-}$ and evidence for $CP$ violation in $\itΛ_{\it{b}}^\rm{0}\to\itΛ K^+K^-$ decays
• Estimates of exchange topological contributions and $CP$-violating observables in ${\Lambda }_b\to \Lambda \varphi$ decay
• Final-state rescattering mechanism in bottom-baryon decays
• Determinations of $|V_{cb}|$ and $|V_{ub}|$ from baryonic ${\Lambda }_b$ decays
• Study of $B^{-}\to \Lambda \bar{p}{\eta }^{{(}^{\prime })}$ and ${\bar{B}}_s^0\to \Lambda \bar{\Lambda }{\eta }^{{(}^{\prime })}$ decays
• Mixing effects of $\eta -{\eta }^{\prime }$ in ${\Lambda }_b\to \Lambda {\eta }^{{(}^{\prime })}$ decays