Identification of the newly observed ${\Sigma }_b(6097{)}^{\pm }$ baryons from their strong decays

Abstract

Two bottom ${\Sigma }_b(6097{)}^{\pm }$ baryons were observed in the final states ${\Lambda }_b^0{\pi }^{-}$ and ${\Lambda }_b^0{\pi }^{+}$ in $pp$ collision by LHCb collaboration, whose masses and widths were measured. In a ${}^3{P}_0$ model, the strong decay widths of two ground $S$-wave and seven excited $P$-wave ${\Sigma }_b$ baryons have been systematically computed. Numerical results indicate that the newly observed ${\Sigma }_b(6097{)}^{\pm }$ are very possibly ${\Sigma }_{b2}^1({\frac{3}{2}}^{-})$ with $J^P={\frac{3}{2}}^{-}$ or ${\Sigma }_{b2}^1({\frac{5}{2}}^{-})$ with $J^P={\frac{5}{2}}^{-}$. The predicted decay widths of ${\Sigma }_b(6097{)}^{\pm }$ are consistent with experimental measurement from LHCb. In particular, it may be possible to distinguish these two assignments through ratios $\Gamma ({\Sigma }_b(6097{)}^{\pm }\to {\Sigma }_b^{\pm }{\pi }^0)/\Gamma ({\Sigma }_b(6097{)}^{\pm }\to {\Sigma }_b^{\ast \pm }{\pi }^0)$, which can be measured by experiments in the future. In the meantime, our results support the assignments that ${\Sigma }_b^{\pm }$ and ${\Sigma }_b^{\ast \pm }$ are the ground $S$-wave ${\Sigma }_b$ baryons with $J^P={\frac{1}{2}}^{+}$ and $J^P={\frac{3}{2}}^{+}$, respectively.

Comments: 5 pages, 6 tables, RevTex