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

TL;DR

This paper analyzes charmed baryon decays involving decuplet baryons using the quark-diagram scheme, predicting branching ratios and exploring symmetry effects, with implications for experimental detection.

Contribution

It introduces a detailed analysis of ${f B}_c o {f B}^* M$ decays, highlighting the role of $W$-exchange processes and symmetry breaking effects, providing specific predictions for branching ratios.

Findings

Only two $W$-exchange processes contribute to the decays.

Predicted branching ratio for ${f B}_c o {f B}^* M$ decays involving $ ext{Delta}$ baryons.

Accessible predictions for experiments like LHCb, BELLEII, and BESIII.

Abstract

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