$Σ_{b}\toΣ_c$ and $Ω_b\toΩ_c$ weak decays in the light-front quark model

The successful operation of LHC provides a great opportunity to study the processes where heavy baryons are involved. {In this work we mainly study} the weak transitions of $Σ_b\to Σ_c$. Assuming the reasonable quark-diquark structure where the two light quarks constitute an axial vector, we calculate the widths of semi-leptonic decay $Σ_{b}\toΣ_c eν_e$ and non-leptonic decay modes $Σ_{b}\toΣ_c +M$ (light mesons) in terms of the light front quark model. We first construct the vertex function for the concerned baryons and then deduce the form factors which are related to two Isgur-Wise functions for the $Σ_{b}\toΣ_c$ transition under the heavy quark limit. Our numerical results indicate that $Γ(Σ_{b}\toΣ_c eν_e)$ is about $1.38\times10^{10}{\rm s}^{-1}$ and $Γ(Σ_{b}\toΣ_c +M)$ is slightly below $1\times10^{10}{\rm s}^{-1}$ which may be accessed at the LHCb detector. By the flavor SU(3) symmetry we estimate the rates of $Ω_b\toΩ_c$. We suggest to measure weak decays of $Ω_b\toΩ_c$, because $Ω_b$ does not decay via strong interaction, the advantage is obvious.

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