Up-down asymmetries of charmed baryon three-body decays

Abstract

We study the up-down asymmetries in the three-body anti-triplet charmed baryon decays of ${\mathbf{B}}_{\mathbf{c}}\to {\mathbf{B}}_{\mathbf{n}}M{M}^{\prime }$ with the $SU(3{)}_f$ flavor symmetry, where ${\mathbf{B}}_{\mathbf{c}}$ presents the anti-triplet charmed baryon of $({\Xi }_c^0,-{\Xi }_c^{+},{\Lambda }_c^{+})$, while ${\mathbf{B}}_{\mathbf{n}}$ and $M^{{(}^{\prime })}$ denote octet baryon and meson states, respectively. By assuming the s-wave meson-pairs to be the dominant constituents in final state configurations, we can write the spin-dependent decay amplitude into parity-conserving and parity-violating parts, parametrized by 6 real parameters under $SU(3{)}_f$, respectively. Fitting these parameters by 16 experimental data points with the minimum ${\chi }^2$ method, we obtain that ${\chi }^2/d.o.f=2.4$. With the fitted parameters, we evaluate the up-down asymmetries along with the decay branching ratios of ${\mathbf{B}}_{\mathbf{c}}\to {\mathbf{B}}_{\mathbf{n}}M{M}^{\prime }$. Some of these up-down asymmetries are accessible to the experiments at BESIII, BELLE-II and LHCb.

arXiv comment18 pages, no figure, revised version accepted by EPJC

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• Semileptonic decays of ${\Lambda }_c^{+}$ in dynamical approaches
• A self-consistent framework of topological amplitude and its $SU(N)$ decomposition
• Time-reversal asymmetries and angular distributions in ${\Lambda }_b\to \Lambda V$
• Nonleptonic three-body charmed baryon weak decays with H(15)
• Time-reversal asymmetries in ${\Lambda }_b$ semileptonic decays
• Measurement of the absolute branching fraction of ${\Lambda }_c^{+}\to p{K}_{\mathrm{S}}^0\eta$ decays
• Extracting maximum information from polarised baryon decays via amplitude analysis: the ${\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$ case
• Measurements of branching fractions and asymmetry parameters of ${\Xi }_c^0\to \Lambda {\bar{K}}^{\ast 0}$, ${\Xi }_c^0\to {\Sigma }^0{\bar{K}}^{\ast 0}$, and ${\Xi }_c^0\to {\Sigma }^{+}{K}^{\ast -}$ decays at Belle
• First observation of ${\Lambda }_c^{+}\to \Lambda K^{+}{\pi }^0$ and evidence of ${\Lambda }_c^{+}\to \Lambda K^{+}{\pi }^{+}{\pi }^{-}$
• Measurement of branching fractions of ${\Lambda }_c^{+}$ decays to ${\Sigma }^{+}{K}^{+}{K}^{-}$, ${\Sigma }^{+}\varphi$ and ${\Sigma }^{+}{K}^{+}{\pi }^{-}({\pi }^0)$
• Measurement of Branching Fractions for ${\Lambda }_c^{+}\to n{K}_S^0{\pi }^{+}$ and ${\Lambda }_c^{+}\to n{K}_S^0{K}^{+}$
• 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 ${\Lambda }_c^{+}\to n{\pi }^{+}\eta$ and search for ${\Lambda }_c^{+}\to n{a}_0(980{)}^{+}$
• Probing the isospin structure and low-lying resonances in ${\Lambda }_c^{+}\to n{\bar{K}}^0{\pi }^{+}$ decays
• Puzzles in charmed baryon semileptonic decays with $SU(3{)}_F$ flavor symmetry and lattice inputs
• Search for the Cabibbo-suppressed decays ${\Lambda }_c^{+}\to {\Sigma }^0{K}^{+}{\pi }^0$ and ${\Lambda }_c^{+}\to {\Sigma }^0{K}^{+}{\pi }^{+}{\pi }^{-}$