Study on Xi _{cc}rightarrow Xi _c and Xi _{cc}rightarrow Xi '_c weak decays in the light-front quark model

Hong-Wei Ke,Xiao-Hai Liu,Fang Lu,Xue-Qian Li

doi:10.1140/epjc/s10052-020-7699-y

Hong-Wei Ke, Xiao-Hai Liu + Show 2 more

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https://doi.org/10.1140/epjc/s10052-020-7699-y

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Abstract

In this work we study the weak decays of Xi _{cc}rightarrow Xi _c and Xi _{cc}rightarrow Xi '_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, 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.

Highlights

In 2017, the LHCb collaboration observed a doubly charmed baryon ++ cc [1] with massMeV which was long-expected by physicists of high energy physics
The doubly heavy baryons would be the goal of experimental search
() c in the light-front quark model and give the resultant form factors, we present our numerical results for cc →

Summary

Introduction

MeV which was long-expected by physicists of high energy physics. In terms of the constituent quark model there should exist 40 baryon-states of J P = 1/2 and 35 J P = 3/2 states which are composed of the five flavors u, d, s, c and b. While dealing with weak decays of such baryons, the diquarks with two light quarks can be safely regarded as spectators which do not undergo any changes during the transitions. We studied the weak decays of b and b in the heavy-quark-light-diquark picture of baryon [26,27,28,29] in this model and our results [26,27,28,29] are consistent with those given in literatures. [31,32] the authors used the quark-diquark picture to explore the weak decays of doubly charmed baryon It should be emphasized, the scenario in this paper where three individual quarks are concerned is different from the picture with one-diquark and one quark adopted by the authors of.

The vertex functions of cc and c

Numerical results

Findings

Conclusions and discussions