Nonleptonic two-body weak decays of charmed baryons

TL;DR

This paper studies nonleptonic two-body weak decays of charmed baryons using the pole approximation and SU(3)_F symmetry, providing new decay predictions and analyzing the limitations of the low-lying pole model.

Contribution

It offers novel predictions for specific charmed baryon decay channels based on experimental data and examines the effectiveness of the pole approximation in these decays.

Findings

Fitted effective Wilson coefficient ${ m C}_+=0.469$ is smaller than naive expectations.

Low-lying pole approximation does not explain certain decay branching ratios.

Recommends the decay channel $oldsymbol{ ext{Xi}}_{cc}^+ o ext{Xi}_c^0 ext{pi}^+$ for experimental searches.

Abstract

We analyze the two-body nonleptonic weak decays of charmed baryons, employing the pole approximation in tandem with the $SU(3)_F$ symmetry. We are able to make novel predictions for decay channels of $\Omega_c^0 \to {\bf B}_n P$ and ${\bf B}_{cc}\to {\bf B}_c^{A,S} P$ based on the experimental data of ${\bf B}_c^A \to {\bf B}_n P$. Here, ${\bf B}_n$, ${\bf B}_{c}^A$, ${\bf B}_c^S$ and ${\bf B}_{cc}$ are the low-lying octet, antitriplet charmed, sextet charmed and doubly charmed baryons, respectively, and $P$ is the pseudoscalar meson. Our findings reveal that the fitted effective Wilson coefficient ${\cal C}_+=0.469$ is notably smaller than the naive expectation, and the low-lying pole approximation fails to account for ${\cal B}(\Lambda_c^+ \to n \pi^+ , \Xi^0 K^+)$, despite consistencies with the soft-meson limit. We further recommend the decay channel $\Xi_{cc}^+ \to \Xi_c^0 \pi^+ \to \Xi^- \pi^+\pi^+\pi^+\pi^-$ for exploring evidence of $\Xi_{cc}^+$, estimating the branching fraction at $(1.1\pm 0.6)\times 10^{-3}$.