Nonleptonic three-body charmed baryon weak decays with H(15)

Abstract

We study the nonleptonic three-body charmed baryon weak decays of ${\mathbf{B}}_c\to {\mathbf{B}}_{n}P{P}^{\prime }$ under the $SU(3{)}_F$ flavor symmetry, where ${\mathbf{B}}_c$ denotes the anti-triplet charmed baryon, comprising $({\Xi }_c^0,-{\Xi }_c^{+},{\Lambda }_c^{+})$, and ${\mathbf{B}}_n$ and $P(P^{\prime })$ represent octet baryon and pseudoscalar meson states, respectively. In addition to 12 parameters from the contributions of the color-antisymmetric part of the effective Hamiltonian, denoted as $H(\bar{6})$, there are 4 parameters from the color-symmetric one, $H(15)$, which were not included in the previous study. With 16 parameters in total and 28 experimental data points, we obtain the minimal ${\chi }^2$ over degree of freedom of ${\chi }^2/d.o.f=1.5$, which is a great improvement comparing to that without $H(15)$. With the better fitting values, we evaluate the branching ratios and up-down asymmetries of ${\mathbf{B}}_c\to {\mathbf{B}}_{n}P{P}^{\prime }$, which present some interesting results such as $\mathcal{B}({\Lambda }_c^{+}\to (\Xi (1690{)}^0\to {\Sigma }^{+}{K}^{-})K^{+})\equiv (1.5\pm 0.4)\times 10^{-3}$ and potential $SU(3)$ breaking effects in ${\Xi }_c^{+}\to p{\pi }^{+}{K}^{-}$ and ${\Lambda }_c^{+}\to {\Sigma }^{+}{\pi }^{-}{K}^{+}$ to be verified by the experiments at BESIII, Belle-II and LHCb.

21 pages, 2 figures,14 tables

References in corpus (13)

• Asymmetries of anti-triplet charmed baryon decays
• Non-leptonic two-body weak decays of ${\Lambda }_c(2286)$
• Semileptonic decays of anti-triplet charmed baryons
• Singly Cabibbo suppressed decays of ${\Lambda }_c^{+}$ with SU(3) flavor symmetry
• Measurement of Branching Fractions of ${\Lambda }_c^{+}\to \eta \Lambda {\pi }^{+}$, $\eta {\Sigma }^0{\pi }^{+}$, $\Lambda (1670){\pi }^{+}$, and $\eta \Sigma (1385{)}^{+}$
• Axial-Vector Emitting Weak Nonleptonic Deacys of ${\Omega }_c^0$ Baryon
• Measurement of the absolute branching fraction of ${\Lambda }_c^{+}\to p{K}_{\mathrm{S}}^0\eta$ decays
• First observation of ${\Lambda }_c^{+}\to \Lambda K^{+}{\pi }^0$ and evidence of ${\Lambda }_c^{+}\to \Lambda K^{+}{\pi }^{+}{\pi }^{-}$
• First Observation of the Cabibbo-suppressed Decays Xi_c+ -> Sigma+ pi- pi+ and Xi_c+ -> Sigma- pi+ pi+ and Measurement of their Branching Ratios
• Measurement of branching fractions of ${\Lambda }_c^{+}$ decays to ${\Sigma }^{+}{K}^{+}{K}^{-}$, ${\Sigma }^{+}\varphi$ and ${\Sigma }^{+}{K}^{+}{\pi }^{-}({\pi }^0)$
• Measurement of the Resonant and Non-Resonant Branching Ratios in ${\Xi }_c^0\to {\Xi }^0{K}^{+}{K}^{-}$
• 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 $\Lambda K^{+}{\pi }^0$
• Measurement of Branching Fractions for ${\Lambda }_c^{+}\to n{K}_S^0{\pi }^{+}$ and ${\Lambda }_c^{+}\to n{K}_S^0{K}^{+}$

Cited by in corpus (8)

• Final-state rescattering mechanism of charmed baryon decays
• Study ${\Xi }_c^{+}\to \Lambda {\bar{K}}^0{\pi }^{+}$ and search for the low-lying baryons $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$
• Roles of the $N(1535)$ and $a_0(980)$ in the process ${\Lambda }_c^{+}\to {\pi }^{+}\eta n$
• Measurement of the branching fractions of the decays ${\Lambda }_c^{+}\to \Lambda K_S^0{K}^{+}$, ${\Lambda }_c^{+}\to \Lambda K_S^0{\pi }^{+}$ and ${\Lambda }_c^{+}\to \Lambda K^{\ast +}$
• Revisiting heavy-flavor conserving weak decays of charmed baryons within the nonrelativistic quark model
• Search for the Cabibbo-suppressed decays ${\Lambda }_c^{+}\to {\Sigma }^0{K}^{+}{\pi }^0$ and ${\Lambda }_c^{+}\to {\Sigma }^0{K}^{+}{\pi }^{+}{\pi }^{-}$
• Puzzles in charmed baryon semileptonic decays with $SU(3{)}_F$ flavor symmetry and lattice inputs
• Observation of ${\Lambda }_c^{+}\to n{\pi }^{+}\eta$ and search for ${\Lambda }_c^{+}\to n{a}_0(980{)}^{+}$