Identifying the ${\Xi }_b(6227)$ and ${\Sigma }_b(6097)$ 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 ${\Sigma }_b(6097{)}^{\pm }$ and ${\Xi }_b(6227{)}^{-}$, 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 $J^P=3/2^{-}$. They belong to the baryon doublet $[6_F,2,1,\lambda ]$, 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 $M_{{\Omega }_b(3/2^{-})}=6.46\pm 0.12\mathrm{GeV}$, ${\Gamma }_{{\Omega }_b(3/2^{-})}=58{}_{-33}^{+65}\mathrm{MeV}$, $M_{{\Sigma }_b(5/2^{-})}-M_{{\Sigma }_b(3/2^{-})}=13\pm 5\mathrm{MeV}$, $M_{{\Xi }_b^{\prime }(5/2^{-})}-M_{{\Xi }_b^{\prime }(3/2^{-})}=12\pm 5\mathrm{MeV}$, and $M_{{\Omega }_b(5/2^{-})}-M_{{\Omega }_b(3/2^{-})}=11\pm 5\mathrm{MeV}$. 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

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• The newly observed ${\Lambda }_b(6072{)}^0$ structure and its $\rho -$mode nonstrange partners