Eur. Phys. J. C (2020) 80: 140
https://doi.org/10.1140/epjc/s10052-020-7699-y

Regular Article - Theoretical Physics

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

¹ School of Science, Tianjin University, 300072, Tianjin, China
² School of Physics, Nankai University, 300071, Tianjin, China

^a khw020056@tju.edu.cn

Received: 15 December 2019
Accepted: 30 January 2020
Published online: 17 February 2020

Abstract

In this work we study the weak decays of ${\mathrm{\Xi }}_{\mathit{cc}}\to {\mathrm{\Xi }}_c$ and ${\mathrm{\Xi }}_{\mathit{cc}}\to {\mathrm{\Xi }}_c^{\prime }$ in the light-front quark model. Generally, a naive, but reasonable conjecture suggests that the cc subsystem in ${\mathrm{\Xi }}_{\mathit{cc}}$ ( us pair in ${\mathrm{\Xi }}_c^{{(}^{\prime })}$) stands as a diquark with definite spin and color assignments. During the concerned processes, the diquark of the initial state is not a spectator, 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.