Identifying the ${\mathrm{\Xi }}_b(6227)$ and ${\mathrm{\Sigma }}_b(6097)$ as $P$-wave bottom baryons of $J^P=3\mathrm{/}{2}^{-}$

We use the method of QCD sum rules within the framework of heavy quark effective theory to study the mass spectrum of the ${\mathrm{\Sigma }}_b(6097{)}^{\pm }$ and ${\mathrm{\Xi }}_b(6227{)}^{-}$, and use the method of light-cone sum rules still within the heavy quark effective theory to study their decay properties. Our results suggest that they can be well interpreted as $P$-wave bottom baryons with the spin-parity $J^P=3\mathrm{/}{2}^{-}$. They belong to the baryon doublet $[$\mathbf{6}$F, 2, 1, \lambda]$, where the total and spin angular momenta of the light degree of freedom are $j_l=2$ and $s_l=1$, and the orbital angular momentum is between the bottom quark and the two-light-quark system ($\lambda$-type). This doublet contains six bottom baryons, and we predict masses (mass differences) and decay widths of the other four states to be $M{\Omega_b(3/2^-)} = 6.46 \pm 0.12 {~\rm GeV}$,$\Gamma_{\Omega_b(3/2^-)} = 58{^{+65}{-33}} {~\rm MeV}$,$M{\Sigma_b(5/2^-)}-M_{\Sigma_b(3/2^-)}= 13 \pm 5 {~\rm MeV}$,$M_{\Xi_b^{\prime}(5/2^-)}-M_{\Xi_b^{\prime}(3/2^-)} = 12 \pm 5 {~\rm MeV}$, and $M_{{\mathrm{\Omega }}_b(5\mathrm{/}{2}^{-})}-M_{{\mathrm{\Omega }}_b(3\mathrm{/}{2}^{-})}=11\pm 5\mathrm{M}\mathrm{e}\mathrm{V}$. We propose to search for them in further LHCb experiments.