Analysis of the semileptonic and nonleptonic two-body decays of the double heavy charm baryon states $\Xi_{cc}^{++},\,\Xi_{cc}^{+}$ and $\Omega_{cc}^+$

TL;DR

This paper investigates the decay processes of double charm baryons, calculating decay rates, polarization effects, and angular distributions using a covariant quark model, focusing on nonleptonic channels with factorizing contributions.

Contribution

It provides detailed calculations of semileptonic and nonleptonic decay modes of double charm baryons, emphasizing channels with pure factorization and employing a covariant confined quark model.

Findings

Calculated decay rates and polarization effects for double charm baryons.

Identified nonleptonic decay channels with pure factorization.

Provided angular decay distributions for prominent decay chains.

Abstract

We calculate the semileptonic and a subclass of sixteen nonleptonic two-body decays of the double charm baryon ground states $\Xi_{cc}^{++},\,\Xi_{cc}^{+}$ and $\Omega_{cc}^+$ where we concentrate on the nonleptonic decay modes. We identify those nonleptonic decay channels in which the decay proceeds solely via the factorizing contribution precluding a contamination from $W$-exchange. We use the covariant confined quark model previously developed by us to calculate the various helicity amplitudes which describe the dynamics of the $1/2^+ \to 1/2^+$ and $1/2^+ \to 3/2^+$ transitions induced by the Cabibbo favored effective $(c \to s)$ and $(d \to u)$ currents. We then proceed to calculate the rates of the decays as well as polarization effects and angular decay distributions of the prominent decay chains resulting from the nonleptonic decays of the double heavy charm baryon parent states.