Singly Cabibbo-suppressed hadronic decays of ${\Lambda }_c^{+}$

Abstract

We study singly Cabibbo-suppressed two-body hadronic decays of the charmed baryon ${\Lambda }_c^{+}$, namely, ${\Lambda }_c^{+}\to \Lambda K^{+},p{\pi }^0,p\eta ,n{\pi }^{+},{\Sigma }^0{K}^{+},{\Sigma }^{+}{K}^0$. We use the measured rate of ${\Lambda }_c^{+}\to p\varphi$ to fix the effective Wilson coefficient $a_2$ for naive color-suppressed modes and the effective number of color $N_c^{\mathrm{eff}}$. We rely on the current-algebra approach to evaluate $W$-exchange and nonfactorizable internal $W$-emission amplitudes, that is, the commutator terms for the $S$-wave and the pole terms for the $P$-wave. Our prediction for ${\Lambda }_c^{+}\to p\eta$ is in excellent agreement with the BESIII measurement. The $p\eta$ ($p{\pi }^0$) mode has a large (small) rate because of a large constructive (destructive) interference between the factorizable and nonfactorizable amplitudes for both $S$- and $P$-waves. Some of the SU(3) relations such as $M({\Lambda }_c^{+}\to n{\pi }^{+})=\sqrt{2}M({\Lambda }_c^{+}\to p{\pi }^0)$ derived under the assumption of sextet dominance are not valid for decays with factorizable terms. Our calculation indicates that the branching fraction of ${\Lambda }_c^{+}\to n{\pi }^{+}$ is about 3.5 times larger than that of ${\Lambda }_c^{+}\to p{\pi }^0$. Decay asymmetries are found to be negative for all singly Cabibbo-suppressed modes and range from $-0.56$ to $-0.96$.

22 pages, 1 figure; a typo in Table II corrected, references added, to appear in PRD

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Cited by in corpus (61)

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• Singly Cabibbo suppressed decays of ${\Lambda }_c^{+}$ with SU(3) flavor symmetry
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• Two-body weak decays of doubly charmed baryons
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• Weak Decays of Doubly Heavy Baryons: W-Exchange
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• Charmed baryon decays in $SU(3{)}_F$ symmetry
• Charmed Baryon Weak Decays with Vector Mesons
• Weak Decays of Antitriplet Charmed Baryons from the Perspective of Flavor Symmetry
• Final-state rescattering mechanism of charmed baryon decays
• Equivalent $SU(3{)}_f$ approaches for two-body anti-triplet charmed baryon decays
• Nonleptonic two-body weak decays of ${\Lambda }_b$ in modified MIT bag model
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• Topological tensor invariants and the current algebra approach: Analysis of 196 nonleptonic two-body decays of single and double charm baryons -- a review
• Hadronic weak decays of the charmed baryon ${\Omega }_c$
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• Up-down asymmetries of charmed baryon three-body decays
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• Hadronic weak decays of ${\Lambda }_c$ in the quark model
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• Heavy-Flavor-Conserving Hadronic Weak Decays of Charmed and Bottom Baryons
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• Heavy-Flavor-Conserving Hadronic Weak Decays of Charmed and Bottom Baryons: an Update
• A self-consistent framework of topological amplitude and its $SU(N)$ decomposition
• Measurement of the Branching Fraction of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to \Lambda K^{+}$
• Estimates of exchange topological contributions and $CP$-violating observables in ${\Lambda }_b\to \Lambda \varphi$ decay
• Nonleptonic three-body charmed baryon weak decays with H(15)
• Measurement of Branching Fractions of Singly Cabibbo-suppressed Decays ${\Lambda }_c^{+}\to {\Sigma }^0{K}^{+}$ and ${\Sigma }^{+}{K}_S^0$
• Measurement of the branching fractions of the singly Cabibbo-suppressed decays ${\Lambda }_c^{+}\to p\eta$ and ${\Lambda }_c^{+}\to p\omega$
• Nonleptonic decays of ${\Xi }_{cc}\to {\Xi }_c\pi$ with ${\Xi }_c-{\Xi }_c^{\prime }$ mixing
• Measurement of the absolute branching fraction of ${\Lambda }_c^{+}\to p{K}_{\mathrm{S}}^0\eta$ decays
• Measurement of the absolute branching fraction of the singly Cabibbo suppressed decay ${\Lambda }_c^{+}\to p{\eta }^{\prime }$
• Measurement of the branching fraction of ${\Lambda }_c^{+}\to p\omega$ decay at Belle
• Evidence of the Singly Cabibbo Suppressed decay ${\Lambda }_c^{+}\to p{\pi }^0$
• Study of the nonleptonic decay ${\Xi }_c^0\to {\Lambda }_c^{+}{\pi }^{-}$ in the covariant confined quark model
• First observation of ${\Lambda }_c^{+}\to \Lambda K^{+}{\pi }^0$ and evidence of ${\Lambda }_c^{+}\to \Lambda K^{+}{\pi }^{+}{\pi }^{-}$
• Addendum to "Overview of ${\Lambda }_c$ decays''
• First Measurement of the ${\Lambda }_c^{+}\to p{\eta }^{\prime }$ decay
• Malaria Parasitic Detection using a New Deep Boosted and Ensemble Learning Framework
• A natural interpretation on the data of ${\Lambda }_c\to \Sigma \pi$
• Measurement of the absolute branching fraction of the three-body decay ${\Lambda }_c^{+}\to {\Xi }^0{K}^{+}{\pi }^0$ and search for ${\Lambda }_c^{+}\to n{K}^{+}{\pi }^0$, ${\Sigma }^0{K}^{+}{\pi }^0$ and $\Lambda K^{+}{\pi }^0$
• Observation of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to p{\pi }^0$
• Analysis of the nonleptonic two-body decays of the $\Lambda$ hyperon
• First measurements of the branching fractions for the decay modes ${\Xi }_c^0\to \Lambda \eta$ and ${\Xi }_c^0\to \Lambda {\eta }^{\prime }$ and search for the decay ${\Xi }_c^0\to \Lambda {\pi }^0$ using Belle and Belle II data
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• The nonleptonic decays of double-charmed baryon ${\Omega }_{cc}^{+}$ within the nonrelativistic quark model