We review the recent results from the Belle experiment on the measurements of branching fractions and decay asymmetry parameters (α) for the hadronic weak decays of charmed baryons, including Λc+→B+P: Λc+→(Λ,Σ0)h+ (h=π,K) and Λc+→Σ+(π0,η,η′); Ξc0→B+P: Ξc0→Ξ−π+; Ξc0→B+V: Ξc0→ΛK¯*0, Ξc0→Σ0K¯*0, and Ξc0→Σ+K*−. In addition, we present an overview of the searches for CP violation via the α-induced CP asymmetry for Λc+→(Λ,Σ0)h+ and Ξc0→Ξ−π+. Finally, we discuss the promising decay modes of Ωc0 which can be measured in the near future and are indispensable in searching for CP violation in the charm sector.
Based on a data sample of 983 fb$^{-1}$ collected with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ collider, we present the study of the heavy-flavor-conserving decay $\Xi_{c}^{0}\to \Lambda_{c}^{+}\pi^{-}$ with $\Lambda_{c}^{+}$ reconstructed via its $pK^{-} \pi^{+}$ decay mode. The branching fraction ratio $\mathcal{B}(\Xi_{c}^{0}\to \Lambda_{c}^{+}\pi^{-})/\mathcal{B}(\Xi_{c}^{0}\to \Xi^{-}\pi^{+})$ is measured to be $0.38 \pm 0.04 \pm 0.04$. Combing with the world average value of $\mathcal{B}(\Xi_{c}^{0}\to \Xi^{-}\pi^{+})$, the branching fraction $\mathcal{B}(\Xi_{c}^{0}\to \Lambda_{c}^{+}\pi^{-})$ is deduced to be $(0.54 \pm 0.05 \pm 0.05 \pm 0.12)\%$. Here, the uncertainties above are statistical, systematic, and from $\mathcal{B}(\Xi_c^{0} \to \Xi^{-}\pi^{+})$, respectively.
Using a data sample of 980 fb$^{-1}$ collected with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ collider, we study the processes of $\Xi^0_c\to \Lambda\bar K^{*0}$, $\Xi^0_c\to \Sigma^0\bar K^{*0}$, and $\Xi^0_c\to \Sigma^+K^{*-}$ for the first time. The relative branching ratios to the normalization mode of $\Xi^0_c\to\Xi^-\pi^+$ are measured to be $${\cal B}(\Xi^0_c\to \Lambda\bar K^{*0})/{\cal B}(\xic\to \Xi^-\pi^+)=0.18\pm0.02({\rm stat.})\pm0.01({\rm syst.}),$$ $${\cal B}(\Xi^0_c\to \Sigma^0\bar K^{*0})/{\cal B}(\xic\to \Xi^-\pi^+)=0.69\pm0.03({\rm stat.})\pm0.03({\rm syst.}),$$ $${\cal B}(\Xi^0_c\to \Sigma^+K^{*-})/{\cal B}(\xic\to \Xi^-\pi^+)=0.34\pm0.06({\rm stat.})\pm0.02({\rm syst.}),$$ where the uncertainties are statistical and systematic, respectively. We obtain %measure the branching fractions of $\Xi^0_c\to \Lambda\bar K^{*0}$, $\Xi^0_c\to \Sigma^0\bar K^{*0}$, and $\Xi^0_c\to \Sigma^+K^{*-}$ to be $${\cal B}(\Xi^0_c\to \Lambda\bar K^{*0})=(3.3\pm0.3({\rm stat.})\pm0.2({\rm syst.})\pm1.0({\rm ref.}))\times10^{-3},$$ $${\cal B}(\Xi^0_c\to \Sigma^0\bar K^{*0})=(12.4\pm0.5({\rm stat.})\pm0.5({\rm syst.})\pm3.6({\rm ref.}))\times10^{-3},$$ $${\cal B}(\Xi^0_c\to \Sigma^+K^{*-})=(6.1\pm1.0({\rm stat.})\pm0.4({\rm syst.})\pm1.8({\rm ref.}))\times10^{-3},$$ where the uncertainties are statistical, systematic, and from ${\cal B}(\xic \to \Xi^-\pi^+)$, respectively. The asymmetry parameters $\alpha(\Xi^0_c\to \Lambda\bar K^{*0})$ and $\alpha(\Xi^0_c\to \Sigma^+K^{*-})$ are $0.15\pm0.22({\rm stat.})\pm0.04({\rm syst.})$ and $-0.52\pm0.30({\rm stat.})\pm0.02({\rm syst.})$, respectively, where the uncertainties are statistical followed by systematic.
We present a study of a singly Cabibbo-suppressed decay $\Lambda_c^+\to{}pK_S^0K_S^0$ and a Cabibbo-favored decay $\Lambda_c^+\to{}pK_S^0\eta$ based on 980 $\rm fb^{-1}$ of data collected by the Belle detector, operating at the KEKB energy-asymmetric $e^+e^-$ collider. We measure their branching fractions relative to $\Lambda_c^+\to{}pK_S^0$: $\mathcal{B}(\Lambda_c^+\to{}pK_S^0K_S^0)/\mathcal{B}(\Lambda_c^+\to{}pK_S^0)={(1.48 \pm 0.08 \pm 0.04)\times 10^{-2}}$ and $\mathcal{B}(\Lambda_c^+\to{}pK_S^0\eta)/\mathcal{B}(\Lambda_c^+\to{}pK_S^0)={(2.73\pm 0.06\pm 0.13)\times 10^{-1}}$. Combining with the world average $\mathcal{B}(\Lambda_c^+\to{}pK_S^0)$, we have the absolute branching fractions: $\mathcal{B}(\Lambda_c^+\to{}pK_S^0K_S^0) = {(2.35\pm 0.12\pm 0.07 \pm 0.12 )\times 10^{-4}}$ and $\mathcal{B}(\Lambda_c^+\to{}pK_S^0\eta) = {(4.35\pm 0.10\pm 0.20 \pm 0.22 )\times 10^{-3}}$. The first and second uncertainties are statistical and systematic, respectively, while the third ones arise from the uncertainty on $\mathcal{B}(\Lambda_c^+\to{}pK_S^0)$. The mode $\Lambda_c^+\to{}pK_S^0K_S^0$ is observed for the first time and has a statistical significance of $>\!10\sigma$. The branching fraction of $\Lambda_c^+\to{}pK_S^0\eta$ has been measured with a threefold improvement in precision over previous results and is found to be consistent with the world average.
Based on a data sample of $983\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ collected with the Belle detector at the KEKB asymmetric-energy ${e}^{+}{e}^{\ensuremath{-}}$ collider, we present the study of the heavy-flavor-conserving decay ${\mathrm{\ensuremath{\Xi}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Lambda}}}_{c}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ with ${\mathrm{\ensuremath{\Lambda}}}_{c}^{+}$ reconstructed via its $p{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ decay mode. The branching fraction ratio $\mathcal{B}({\mathrm{\ensuremath{\Xi}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Lambda}}}_{c}^{+}{\ensuremath{\pi}}^{\ensuremath{-}})/\mathcal{B}({\mathrm{\ensuremath{\Xi}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+})$ is measured to be $0.38\ifmmode\pm\else\textpm\fi{}0.04\ifmmode\pm\else\textpm\fi{}0.04$. Combining with the world average value of $\mathcal{B}({\mathrm{\ensuremath{\Xi}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+})$, the branching fraction $\mathcal{B}({\mathrm{\ensuremath{\Xi}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Lambda}}}_{c}^{+}{\ensuremath{\pi}}^{\ensuremath{-}})$ is deduced to be $(0.54\ifmmode\pm\else\textpm\fi{}0.05\ifmmode\pm\else\textpm\fi{}0.05\ifmmode\pm\else\textpm\fi{}0.12)%$. Here, the uncertainties above are statistical, systematic, and from $\mathcal{B}({\mathrm{\ensuremath{\Xi}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+})$, respectively.
Using a data sample of 980~fb$^{-1}$ collected with the Belle detector operating at the KEKB asymmetric-energy $e^+e^-$ collider, we present evidence for the $\Omega(2012)^-$ in the resonant substructure of $\Omega_{c}^{0} \to \pi^+ (\bar{K}\Xi)^{-}$ ($(\bar{K}\Xi)^{-}$ = $K^-\Xi^0$ + $\bar{K}^0 \Xi^-$) decays. The significance of the $\Omega(2012)^-$ signal is 4.2$\sigma$ after considering the systematic uncertainties. The ratio of the branching fraction of $\Omega_{c}^{0} \to \pi^{+} \Omega(2012)^- \to \pi^+ (\bar{K}\Xi)^{-}$ relative to that of $\Omega_{c}^{0} \to \pi^{+} \Omega^-$ is calculated to be 0.220 $\pm$ 0.059(stat.) $\pm$ 0.035(syst.). The individual ratios of the branching fractions of the two isospin modes are also determined, and found to be ${\cal B}(\Omega_{c}^0 \to \pi^+ \Omega(2012)^-) \times {\cal B}(\Omega(2012)^- \to K^-\Xi^0)/{\cal B}(\Omega_{c}^0 \to \pi^+ K^- \Xi^0)$ = (9.6 $\pm$ 3.2(stat.) $\pm$ 1.8(syst.))% and ${\cal B}(\Omega_{c}^0 \to \pi^+ \Omega(2012)^-) \times {\cal B}(\Omega(2012)^- \to \bar{K}^0 \Xi^-)/{\cal B}(\Omega_{c}^0 \to \pi^+ \bar{K}^0 \Xi^-)$ = (5.5 $\pm$ 2.8(stat.) $\pm$ 0.7(syst.))%.
Using a data sample of 980~fb$^{-1}$ collected with the Belle detector operating at the KEKB asymmetric-energy $e^+e^-$ collider, we present evidence for the $\Omega(2012)^-$ in the resonant substructure of $\Omega_{c}^{0} \to \pi^+ (\bar{K}\Xi)^{-}$ ($(\bar{K}\Xi)^{-}$ = $K^-\Xi^0$ + $\bar{K}^0 \Xi^-$) decays. The significance of the $\Omega(2012)^-$ signal is 4.2$\sigma$ after considering the systematic uncertainties. The ratio of the branching fraction of $\Omega_{c}^{0} \to \pi^{+} \Omega(2012)^- \to \pi^+ (\bar{K}\Xi)^{-}$ relative to that of $\Omega_{c}^{0} \to \pi^{+} \Omega^-$ is calculated to be 0.220 $\pm$ 0.059(stat.) $\pm$ 0.035(syst.). The individual ratios of the branching fractions of the two isospin modes are also determined, and found to be ${\cal B}(\Omega_{c}^0 \to \pi^+ \Omega(2012)^-) \times {\cal B}(\Omega(2012)^- \to K^-\Xi^0)/{\cal B}(\Omega_{c}^0 \to \pi^+ K^- \Xi^0)$ = (9.6 $\pm$ 3.2(stat.) $\pm$ 1.8(syst.))\% and ${\cal B}(\Omega_{c}^0 \to \pi^+ \Omega(2012)^-) \times {\cal B}(\Omega(2012)^- \to \bar{K}^0 \Xi^-)/{\cal B}(\Omega_{c}^0 \to \pi^+ \bar{K}^0 \Xi^-)$ = (5.5 $\pm$ 2.8(stat.) $\pm$ 0.7(syst.))\%.
We present a study of a singly Cabibbo-suppressed decay Λ+c→pK0SK0S and a Cabibbo-favored decay Λ+c→pK0Sη based on 980 fb−1 of data collected by the Belle detector, operating at the KEKB energy-asymmetric e+e− collider. We measure their branching fractions relative to Λ+c→pK0S: B(Λ+c→pK0SK0S)/B(Λ+c→pK0S)=(1.48±0.08±0.04)×10−2 and B(Λ+c→pK0Sη)/B(Λ+c→pK0S)=(2.73±0.06±0.13)×10−1. Combining with the world average B(Λ+c→pK0S), we have the absolute branching fractions, B(Λ+c→pK0SK0S)=(2.35±0.12±0.07±0.12)×10−4 and B(Λ+c→pK0Sη)=(4.35±0.10±0.20±0.22)×10−3. The first and second uncertainties are statistical and systematic, respectively, while the third ones arise from the uncertainty on B(Λ+c→pK0S). The mode Λ+c→pK0SK0S is observed for the first time and has a statistical significance of >10σ. The branching fraction of Λ+c→pK0Sη has been measured with a threefold improvement in precision over previous results and is found to be consistent with the world average.Received 6 October 2022Accepted 14 November 2022DOI:https://doi.org/10.1103/PhysRevD.107.032004Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasBranching fractionPhysical SystemsCharmed baryonsTechniquesLepton collidersParticles & Fields
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