Decay chain information on the newly discovered double charm baryon state ${\Xi }_{cc}^{++}$

Abstract

We interprete the new double charm baryon state found by the LHCb Collaboration in the invariant mass distribution of the set of final state particles $({\Lambda }_c^{+}{K}^{-}{\pi }^{+}{\pi }^{+})$ as being at the origin of the decay chain ${\Xi }_{cc}^{++}\to {\Sigma }_c^{++}(\to {\Lambda }_c^{+}{\pi }^{+})+{\bar{K}}^{\ast 0}(\to K^{-}{\pi }^{+})$. The nonleptonic decay ${\Xi }_{cc}^{++}\to {\Sigma }_c^{++}+{\bar{K}}^{\ast 0}$ belongs to a class of decays where the quark flavor composition is such that the decay proceeds solely via the factorizing contribution precluding a contamination from internal $W$-exchange. We use the covariant confined quark model previously developed by us to calculate the four helicity amplitudes that describe the dynamics of the transition ${\Xi }_{cc}^{++}\to {\Sigma }_c^{++}$ induced by the effective $(c\to u)$ current. We then proceed to calculate the rate of the decay as well as the polarization of the ${\Sigma }_c^{++}$ and ${\Lambda }_c^{+}$ baryons and the longitudinal/transverse composition of the ${\bar{K}}^{\ast 0}$. We estimate the decay ${\Xi }_{cc}^{++}\to {\Sigma }_c^{++}{\bar{K}}^{\ast 0}$ to have a branching rate of $B({\Xi }_{cc}^{++}\to {\Sigma }_c^{++}{\bar{K}}^{\ast 0})\sim 10.5\%$. As a byproduct of our investigation we have also analyzed the decay ${\Xi }_{cc}^{++}\to {\Sigma }_c^{++}{\bar{K}}^0$ for which we find a branching ratio of $B({\Xi }_{cc}^{++}\to {\Sigma }_c^{++}{\bar{K}}^0)\sim 2.5\%$.

6 pages

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