Study on $\Xi_{cc}\to\Xi_c$ and $\Xi_{cc}\to\Xi'_c$ weak decays in the light-front quark model

TL;DR

This paper investigates the weak decay processes of doubly charmed baryons into singly charmed baryons using the light-front quark model, providing numerical form factors and decay rate predictions for future experimental validation.

Contribution

It introduces a novel approach to handle the internal diquark structure during decay calculations, improving the understanding of $ ext{Xi}_{cc}$ decay mechanisms.

Findings

Calculated form factors for $ ext{Xi}_{cc} o ext{Xi}_c$ and $ ext{Xi}_{cc} o ext{Xi}'_c$ decays.

Predicted semi-leptonic and non-leptonic decay rates.

Provided numerical results for future experimental comparison.

Abstract

In this work we study the weak decays of $\Xi_{cc}\to\Xi_c$ and $\Xi_{cc}\to\Xi'_c$ in the light-front quark model. Generally, a naive, but reasonable conjecture suggests that the $cc$ subsystem in $\Xi_{cc}$ ( $us$ pair in $\Xi^{(')}_c$) stands as a diquark with definite spin and color assignments. During the concerned processes, the diquark of the initial state is not a spectator, and must be broken. A Racah transformation would decompose the original $(cc)q$ into a combination of $c(cq)$ components. Thus we may deal with the decaying $c$ quark alone while keeping the $(cq)$ subsystem as a spectator. With the re-arrangement of the inner structure we calculate the form factors numerically and then obtain the rates of semi-leptonic decays and non-leptonic decays, which will be measured in the future.