Study on $Ξ_{cc}\toΞ_c$ and $Ξ_{cc}\toΞ'_c$ weak decays in the light-front quark model

In this work we study the weak decays of $Ξ_{cc}\toΞ_c$ and $Ξ_{cc}\toΞ'_c$ in the light-front quark model. Generally, a naive, but reasonable conjecture suggests that the $cc$ subsystem in $Ξ_{cc}$ ( $us$ pair in $Ξ^{(')}_c$) 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.

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