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.

arXiv comment21 pages, 2 figures,14 tables

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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 ${\Lambda }_c^{+}\to n{a}_0(980{)}^{+}$