Study on $Xi_{cc}toXi_c$ and $Xi_{cc}toXi_c$ weak decays in the light-front quark model

In this work we study the weak decays of $Xi_{cc}toXi_c$ and $Xi_{cc}toXi_c$ 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.