Identifying the $Ξ_{b}(6227)$ and $Σ_{b}(6097)$ as $P$-wave bottom baryons of $J^P = 3/2^-$

Abstract

We use the method of QCD sum rules within the framework of heavy quark effective theory to study the mass spectrum of the $Σ_{b}(6097)^{\pm}$ and $Ξ_{b}(6227)^{-}$, 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 $J^P = 3/2^-$. They belong to the baryon doublet $[\mathbf{6}_F, 2, 1, λ]$, 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 ($λ$-type). This doublet contains six bottom baryons, and we predict masses (mass differences) and decay widths of the other four states to be $M_{Ω_b(3/2^-)} = 6.46 \pm 0.12 {~\rm GeV}$, $Γ_{Ω_b(3/2^-)} = 58{^{+65}_{-33}} {~\rm MeV}$, $M_{Σ_b(5/2^-)}-M_{Σ_b(3/2^-)}= 13 \pm 5 {~\rm MeV}$, $M_{Ξ_b^{\prime}(5/2^-)}-M_{Ξ_b^{\prime}(3/2^-)} = 12 \pm 5 {~\rm MeV}$, and $M_{Ω_b(5/2^-)}-M_{Ω_b(3/2^-)} = 11 \pm 5 {~\rm MeV}$. We propose to search for them in further LHCb experiments.

18 pages, 5 figures, 4 tables, published in PRD. arXiv admin note: text overlap with arXiv:1703.07703