Study of the nonleptonic decay $\Xi^0_c \to \Lambda^+_c \pi^-$ in the covariant confined quark model

TL;DR

This paper analyzes the nonleptonic decay of $ ext{Xi}_c^0$ to $ ext{Lambda}_c^+$ and a pion using a covariant confined quark model, highlighting the importance of pole diagrams over W-exchange contributions for experimental agreement.

Contribution

It introduces a comprehensive calculation of both short and long distance effects, including pole diagrams with baryon resonances, in the covariant confined quark model for this decay.

Findings

W-exchange contributions are suppressed compared to data.

Pole diagrams with baryon resonances dominate the decay amplitude.

Model achieves consistency with experimental measurements.

Abstract

The nonleptonic decay $\Xi^0_c \to \Lambda^+_c \pi^-$ with $\Delta C=0$ is systematically studied in the framework of the covariant confined quark model with accounting for both short and long distance effects. The short distance effects are induced by four topologies of external and internal weak $W^\pm$ exchange, while long distance effects are saturated by an inclusion of the so-called pole diagrams with an intermediate $\frac12^+$ and $\frac12^-$ baryon resonances. The contributions from $\frac12^+$~resonances are calculated straightforwardly by accounting for single charmed $\Sigma^0_c$ and $\Xi^{'\,+}_c$~baryons whereas the contributions from $\frac12^-$~resonances are calculated by using the well-known soft-pion theorem in the current-algebra approach. It allows to express the parity-violating S-wave amplitude in terms of parity-conserving matrix elements. It is found that the contribution of external and internal $W$-exchange diagrams is significantly suppressed by more than one order of magnitude in comparison with data. The pole diagrams play the major role to get consistency with experiment.