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Imbalanced beauty-charmed baryons Ξbc+,0 are of great significance to the development of heavy flavor physics. In this work, we study the inclusive weak-annihilation decays of Ξbc+,0 and their contributions to the Ξbc+,0 lifetimes. For the calculation of the inclusive Ξbc+,0→Xcs decay width where Xcs stands for the sum of the final states with charm number $+1$ and strange number -1, we work in the heavy diquark effective theory, which provides us with a convenient technical tool to construct the operator product expansion. The Ξbc+,0 is considered to be a superposition of two states with one containing a spin-0 $bc$ diquark and the other one containing a spin-1 $bc$ diquark. It is found that both the Ξbc+,0 lifetimes and the Ξbc+,0→Xcs branching ratios are very sensitive to the $bc$ spin in Ξbc+,0. The Ξbc+,0→Xcd results are also presented. As Ξbc⁺ has a longer lifetime than Ξbc⁰ and bigger branching ratios of similar decay channels, the exclusive decays Ξbc⁺→D(*)+Λ, Ξbc⁺→Λc⁺K̄(*)0, Ξbc⁺→D(*)+K^-p, and Ξbc⁺→D⁰K̄(*)0p are more promising for experimental searches of Ξbc+,0 at the LHC comparing with exclusive decay Ξbc⁰→D⁰pK^-.
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Yang et al. (2022) studied this question.
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