Doubly-Heavy Baryon Weak Decays: ${\Xi }_{bc}^0\to p{K}^{-}$ and ${\Xi }_{cc}^{+}\to {\Sigma }_c^{++}(2520)K^{-}$

Abstract

Doubly-heavy baryons, with two heavy and one light quarks, are expected to exist in QCD and their masses have been predicted in the quark model. However their existence is not well established so far in experiment. In this work, we explore the possibility of searching for ${\Xi }_{bc}$ and ${\Xi }_{cc}^{+}$ in the $W$-exchange processes, ${\Xi }_{bc}^0\to p{K}^{-}$ and ${\Xi }_{cc}^{+}\to {\Sigma }_c^{++}(2520)K^{-}$. On the basis of perturbative calculations, we estimate the branching ratio of the first decay as $\mathcal{B}\mathcal{R}({\Xi }_{bc}^0\to p^{+}{K}^{-})\approx 3.21\times {\mathcal{R}}_f^2\times {\mathcal{R}}_{\tau }\times 10^{-7}$, where ${\mathcal{R}}_f$ (${\mathcal{R}}_{\tau }$) are the ratios of the decay constants (lifetimes) of ${\Xi }_{bc}^0$ and ${\Lambda }_b^0$. The branching ratio of ${\Xi }_{cc}^{+}\to {\Sigma }_c^{++}(2520)K^{-}$ is related to that of ${\Lambda }_c^{+}\to {\Delta }^{++}{K}^{-}$, and thereby a conjectured topology analysis leads to the range for the branching ratio as: $\mathcal{B}\mathcal{R}({\Xi }_{cc}^{+}\to {\Sigma }_c^{++}(2520)K^{-})\in \left[0.36\%,1.80\%\right]$. The decay ${\Xi }_{cc}^{+}\to {\Sigma }_c^{++}(2520)K^{-}$ would be reconstructed in the ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}$ final state which is easy to access even at a hadron collider. Based on the two facts that abundant heavy quarks can be produced at a hadron collider like LHC, and the branching ratios of ${\Xi }_{bc}^0\to p{K}^{-}$ and ${\Xi }_{cc}^{+}\to {\Sigma }_c^{++}(2520)K^{-}$ are sizable, we urge our experimental colleagues to perform a search at LHCb. This will presumably lead to the discovery of the ${\Xi }_{bc}$ and ${\Xi }_{cc}^{+}$ , and precision measurements of the branching ratios in the future are helpful to investigate their decay mechanism.

10 pages; 2 figures; version published on Physics Letters B

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Cited by in corpus (16)

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• Weak Decays of Doubly Heavy Baryons: Multi-body Decay Channels
• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• Decay chain information on the newly discovered double charm baryon state ${\Xi }_{cc}^{++}$
• Estimates of W-exchange contributions to ${\Xi }_{cc}$ decays
• Analysis of the semileptonic and nonleptonic two-body decays of the double heavy charm baryon states ${\Xi }_{cc}^{++},{\Xi }_{cc}^{+}$ and ${\Omega }_{cc}^{+}$
• Sum rules for $CP$ asymmetries of charmed baryon decays in the $SU(3{)}_F$ limit
• Two-body weak decays of doubly charmed baryons
• Rescattering mechanism of weak decays of double-charm baryons
• Role of decay in the searches for double-charm baryons
• W-exchange contribution to the decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{+(\prime )}{\pi }^{+}$ using light-cone sum rules
• Mass spectra of bottom-charm baryons
• News & Views on a new search for the doubly charmed baryon ${\Xi }_{cc}^{+}$ at the LHC
• Strong decays of the low-lying doubly bottom baryons
• Transition properties of Doubly Heavy Baryons