Two-body weak decays of doubly charmed baryons

Abstract

The hadronic two-body weak decays of the doubly charmed baryons ${\Xi }_{cc}^{++},{\Xi }_{cc}^{+}$ and ${\Omega }_{cc}^{+}$ are studied in this work. To estimate the nonfactorizable contributions, we work in the pole model for the $P$-wave amplitudes and current algebra for $S$-wave ones. For the ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}{\pi }^{+}$ mode, we find a large destructive interference between factorizable and nonfactorizable contributions for both $S$- and $P$-wave amplitudes. Our prediction of $\sim 0.70\%$ for its branching fraction is smaller than the earlier estimates in which nonfactorizable effects were not considered, but agrees nicely with the result based on an entirely different approach, namely, the covariant confined quark model. On the contrary, a large constructive interference was found in the $P$-wave amplitude by Dhir and Sharma, leading to a branching fraction of order $(7-16)\%$. Using the current results for the absolute branching fractions of $({\Lambda }_c^{+},{\Xi }_c^{+})\to p{K}^{-}{\pi }^{+}$ and the LHCb measurement of ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}{\pi }^{+}$ relative to ${\Xi }_{cc}^{++}\to {\Lambda }_c^{+}{K}^{-}{\pi }^{+}{\pi }^{+}$, we obtain $\B(Ξ_{cc}^{++}\toΞ_c^+π^+)_{\rm expt}\approx (1.83\pm1.01)\%$ after employing the latest prediction of $\B(Ξ_{cc}^{++}\toΣ_c^{++}\overline{K}^{*0})$. Our prediction of $\mathcal{B}({\Xi }_{cc}^{++}\to {\Xi }_c^{+}{\pi }^{+})\approx 0.7\%$ is thus consistent with the experimental value but in the lower end. It is important to pin down the branching fraction of this mode in future study. Factorizable and nonfactorizable $S$-wave amplitudes interfere constructively in ${\Xi }_{cc}^{+}\to {\Xi }_c^0{\pi }^{+}$. Its large branching fraction of order 4\% may enable experimentalists to search for the ${\Xi }_{cc}^{+}$ through this mode. That is, the ${\Xi }_{cc}^{+}$ is reconstructed through the ${\Xi }_{cc}^{+}\to {\Xi }_c^0{\pi }^{+}$ followed by the decay chain ${\Xi }_c^0\to {\Xi }^{-}{\pi }^{+}\to p{\pi }^{-}{\pi }^{-}{\pi }^{+}$.

25 pages, 1 figure, version accepted by PRD

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• Role of decay in the searches for double-charm baryons

Cited by in corpus (8)

• Topological tensor invariants and the current algebra approach: Analysis of 196 nonleptonic two-body decays of single and double charm baryons -- a review
• W-exchange contribution to the decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{+(\prime )}{\pi }^{+}$ using light-cone sum rules
• Observation of the doubly-charmed-baryon decay ${\Xi }_{cc}^{++}\to {\Xi }_c^0{\pi }^{+}{\pi }^{+}$
• Doubly charmed baryon decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ in the quark model
• Revisiting heavy-flavor conserving weak decays of charmed baryons within the nonrelativistic quark model
• The nonleptonic decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ within the nonrelativistic quark model
• The nonleptonic decays of double-charmed baryon ${\Omega }_{cc}^{+}$ within the nonrelativistic quark model
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$