Asymmetries of anti-triplet charmed baryon decays

Abstract

We analyze the decay processes of ${\mathbf{B}}_c\to {\mathbf{B}}_{n}M$ with the $SU(3{)}_F$ flavor symmetry and spin-dependent amplitudes, where ${\mathbf{B}}_c({\mathbf{B}}_n)$ and $M$ are the anti-triplet charmed (octet) baryon and nonet meson states, respectively. In the $SU(3{)}_F$ approach, it is the first time that the decay rates and up-down asymmetries are fully and systematically studied without neglecting the $\mathcal{O}(\overline{15})$ contributions of the color anti-symmetric parts in the effective Hamiltonian. Our results of the up-down asymmetries based on $SU(3{)}_F$ are quite different from the previous theoretical values in the literature. In particular, we find that the up-down symmetry of $\alpha ({\Lambda }_c^{+}\to {\Xi }^0{K}^{+}{)}_{SU(3)}=0.94_{-0.11}^{+0.06}$, which is consistent with the recent experimental data of $0.77\pm 0.78$ by the BESIII Collaboration, but predicted to be zero in the literature. We also examine the $K_S^0-K_L^0$ asymmetries between the decays of ${\mathbf{B}}_c\to {\mathbf{B}}_n{K}_S^0$ and ${\mathbf{B}}_c\to {\mathbf{B}}_n{K}_L^0$ with both Cabibbo-allowed and doubly Cabibbo-suppressed transitions.

arXiv comment23 pages, 1 figure, revised version accepted by PLB

References in corpus (27)

• Mixing and Decay Constants of Pseudoscalar Mesons
• Mixing and Decay Constants of Pseudoscalar Mesons: The Sequel
• Measurements of absolute hadronic branching fractions of ${\Lambda }_c^{+}$ baryon
• Test Flavor SU(3) symmetry in Exclusive ${\Lambda }_c$ decays
• Exclusive Nonleptonic Decays of Bottom and Charm Baryons in a Relativistic Three-Quark Model: Evaluation of Nonfactorizing Diagrams
• Cabibbo-allowed nonleptonic weak decays of charmed baryons
• Anti-triplet charmed baryon decays with SU(3) Flavor Symmetry
• Measurement of the absolute branching fraction for ${\Lambda }_c^{+}\to \Lambda e^{+}{\nu }_e$
• Singly Cabibbo-suppressed hadronic decays of ${\Lambda }_c^{+}$
• SU(3)_flavor analysis of two-body weak decays of charmed baryons
• Analysis of Two-Body Decays of Charmed Baryons Using the Quark-Diagram Scheme
• Non-leptonic two-body weak decays of ${\Lambda }_c(2286)$
• Measurement of the Absolute Branching Fraction for ${\Lambda }_c^{+}\to \Lambda {\mu }^{+}{\nu }_{\mu }$
• Semileptonic decays of anti-triplet charmed baryons
• Three-body charmed baryon Decays with SU(3) flavor symmetry
• A Study of Weak Mesonic Decays of ${\Lambda }_c$ and ${\Xi }_c$ Baryons on the Basis of HQET Results
• SU(3) symmetry breaking in charmed baryon decays
• Singly Cabibbo suppressed decays of ${\Lambda }_c^{+}$ with SU(3) flavor symmetry
• First Observation of Doubly Cabibbo-Suppressed Decay of a Charmed Baryon: ${\Lambda }_c^{+}\to p{K}^{+}{\pi }^{-}$
• Observation of ${\Lambda }_c^{+}\to n{K}_S^0{\pi }^{+}$
• Evidence for the singly-Cabibbo-suppressed decay ${\Lambda }_c^{+}\to p\eta$ and search for ${\Lambda }_c^{+}\to p{\pi }^0$
• Measurement of Singly Cabibbo Suppressed Decays ${\Lambda }_c^{+}\to p{\pi }^{+}{\pi }^{-}$ and ${\Lambda }_c^{+}\to p{K}^{+}{K}^{-}$
• Measurements of Absolute Branching Fractions for ${\Lambda }_c^{+}\to {\Xi }^0{K}^{+}$ and $\Xi (1530{)}^0{K}^{+}$
• Measurement of absolute branching fraction of the inclusive decay ${\Lambda }_c^{+}\to \Lambda +X$
• Cabibbo-suppressed non-leptonic decays of Lambda_c and final state interaction
• Observation of the decay ${\Lambda }_c^{+}\to {\Sigma }^{-}{\pi }^{+}{\pi }^{+}{\pi }^0$
• Unification of Flavor SU(3) Analyses of Heavy Hadron Weak Decays

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