Study on ${\Xi }_{cc}\to {\Xi }_c$ and ${\Xi }_{cc}\to {\Xi }_c^{\prime }$ weak decays in the light-front quark model

Abstract

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

Comments: 18 pages, 4 firures. arXiv admin note: text overlap with arXiv:1904.05705