Weak Decays of Doubly Heavy Baryons: ${\cal B}_{cc}\to {\cal B}_c V$

TL;DR

This paper investigates the weak decay processes of doubly charm baryons into singly charm baryons and light vector mesons, using a phenomenological approach that combines factorization and final-state interaction models to estimate decay rates.

Contribution

It provides a comprehensive analysis of decay mechanisms, classifies contributions into topological diagrams, and estimates branching fractions, highlighting candidate decays for experimental searches.

Findings

Hierarchy in topological contributions observed.

Predicted branching fractions for specific decay channels.

Identification of decays dominated by long-distance effects.

Abstract

The weak decays of a spin-$1/2$ doubly charm baryon (${\cal B}_{cc}$) to a spin-$1/2$ singly charm baryon (${\cal B}_c$) and a light vector meson ($V$) are studied under a phenomenological scheme. The contributions are classified into different topological diagrams, among which the short distance ones are calculated under the factorization hypothesis, and the long distance contributions are modelled as final-state interactions (FSIs) which are estimated with the one-particle-exchange model. In calculation the topological contributions tend to fall in a hierarchy. The branching fractions or decay widths are estimated, and it indicates that $\Xi_{cc}^+\to\Xi_c^+\pi^+\pi^-$ and $\Omega_{cc}^{+}\rightarrow\Xi_{c}^{+}K^-\pi^+$ can be used as candidate decays for searching $\Xi_{cc}^+$ and $\Omega_{cc}^+$. Some decays that are mainly activated by the long distance effects are found, observation on which in future experiments can help to understand the role of FSIs in charm baryon decays.