Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case

Abstract

Very recently, the LHCb collaboration has observed in the final state ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}{\pi }^{+}$ a resonant structure that is identified as the doubly-charmed baryon ${\Xi }_{cc}^{++}$. Inspired by this observation, we investigate the weak decays of doubly heavy baryons ${\Xi }_{cc}^{++}$, ${\Xi }_{cc}^{+}$, ${\Omega }_{cc}^{+}$, ${\Xi }_{bc}^{(\prime )+}$, ${\Xi }_{bc}^{(\prime )0}$, ${\Omega }_{bc}^{(\prime )0}$, ${\Xi }_{bb}^0$, ${\Xi }_{bb}^{-}$ and ${\Omega }_{bb}^{-}$ and focus on the decays into spin $1/2$ baryons in this paper. At the quark level these decay processes are induced by the $c\to d/s$ or $b\to u/c$ transitions, and the two spectator quarks can be viewed as a scalar or axial vector diquark. We first derive the hadronic form factors for these transitions in the light-front approach and then apply them to predict the partial widths for the semi-leptonic and non-leptonic decays of doubly heavy baryons. We find that a number of decay channels are sizable and can be examined in future measurements at experimental facilities like LHC, Belle II and CEPC.

40 pages, 4 figures, to appear in EPJC

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