Eur. Phys. J. C 80, 140 (2020)

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

Hong-Wei Ke^1,*, Fang Lu¹, Xiao-Hai Liu¹ & Xue-Qian Li²

1 School of Science, Tianjin University, Tianjin, 300072, China

2 School of Physics, Nankai University, Tianjin, 300071, China

* khw020056@tju.edu.cn

Abstract

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