The nonleptonic decays of double-charmed baryon $\Omega_{cc}^{+}$ within the nonrelativistic quark model

TL;DR

This paper studies the nonleptonic two-body decays of the double-charmed baryon , , using a nonrelativistic quark model to predict branching fractions and identify potential discovery channels.

Contribution

It introduces a method to evaluate decay amplitudes with reduced sensitivity to wave function choices using Schrfodinger equation solutions within a nonrelativistic quark model.

Findings

Branching fractions of key decay modes can reach a few percent.

The  decay mode has a large branching fraction, comparable to Cabibbo-favored decays.

Identifies decay channels as promising for future experimental discovery of .

Abstract

In this work, we investigate the two-body nonleptonic decays of double-charmed baryon $\Omega_{cc}^{+}$ within a nonrelativistic quark model, in which the nonfactorizable amplitudes contributed by $W$-exchange diagrams are evaluated under pole model assumption. To reduce sensitivity of decay amplitudes to arbitrary choice of baryon wave functions, we adopted charmed baryon wave functions obtained by solving the Schr\"{o}dinger equation with a nonrelativistic quark potential model. Our results show that the branching fractions of CF decays $\Omega_{cc}^{+}\to\Omega_{c}^{0}\pi^{+}$ and $\Xi_{c}^{(\prime)+}\pi^{+}$, as well as the SCS decays $\Omega_{cc}^{+}\to\Omega_{c}^{0}K^{+}$, $\Sigma_{cc}^{++}K^{-}$, $\Xi_{c}^{\prime+}\eta$ and $\Lambda_{c}^{+}\bar{K}^{0}$ can reach up to a few percents. Particularly for the $\Omega_{cc}^{+}\to\Omega_{c}^{0}K^{+}$ mode, owing to the large factorizable amplitude and constructive pole contributions, the branching fraction is comparable to CF decays. These decay modes can serve as the discovery channels for the double-charmed baryon $\Omega_{cc}^{+}$ in future experiments like LHCb and Belle II.