Two-body charmed baryon decays involving decuplet baryon in the quark-diagram scheme

Abstract

In the quark-diagram scheme, we study the charmed baryon decays of ${\mathbf{B}}_c\to {\mathbf{B}}^{\ast }M$, where ${\mathbf{B}}_c$ is ${\Lambda }_c^{+}$ or ${\Xi }_c^{+(0)}$, together with ${\mathbf{B}}^{\ast }$ ($M$) the decuplet baryon (pseudoscalar meson). It is found that only two $W$-exchange processes are allowed to contribute to ${\mathbf{B}}_c\to {\mathbf{B}}^{\ast }M$. Particularly, we predict $\mathcal{B}({\Lambda }_c^{+}\to {\Sigma }^{\ast 0(+)}{\pi }^{+(0)})=(2.8\pm 0.4)\times 10^{-3}$, which respects the isospin symmetry. Besides, we take into account the $SU(3)$ flavor symmetry breaking, in order to explain the observation of $\mathcal{B}({\Lambda }_c^{+}\to {\Sigma }^{\ast +}\eta )$. For the decays involving ${\Delta }^{++}(uuu)$, we predict $\mathcal{B}({\Lambda }_c^{+}\to {\Delta }^{++}{\pi }^{-},{\Xi }_c^{+}\to {\Delta }^{++}{K}^{-})=(7.0\pm 1.4,13.5\pm 2.7)\times 10^{-4}$ as the largest branching fractions in the singly Cabibbo-suppressed ${\Lambda }_c^{+},{\Xi }_c^{+}\to {\mathbf{B}}^{\ast }M$ decay channels, respectively, which are accessible to the LHCb, BELLEII and BESIII experiments.

Comments: 12 pages, 1 figure, 3 tables, version to appear in EPJC