Predicted ${\Xi }_b(6087{)}^0$ and further predictions

Abstract

The methods of QCD sum rules and light-cone sum rules within the framework of heavy quark effective theory have been widely applied to study the singly heavy baryons, and especially, we have applied these methods to predict not only the mass and width of the ${\Xi }_b(6087{)}^0$ recently discovered by LHCb, but also its observation channel and its mass difference from the ${\Xi }_b(6100{)}^{-}$. We apply the same approach to perform a complete study on the $P$-wave bottom baryons of the $SU(3)$ flavor ${\bar{3}}_F$ and investigate their fine structure. Besides the ${\Lambda }_b(5912{)}^0$, ${\Lambda }_b(5920{)}^0$, ${\Xi }_b(6087{)}^0$, and ${\Xi }_b(6100{)}^{-}$, our results suggest the existence of the other two ${\Lambda }_b$ and two ${\Xi }_b$ baryons, whose widths are limited. They are the ${\Lambda }_b(J^P=3/2^{-})$ with the mass and width about $(5.93_{-0.13}^{+0.13}\mathrm{GeV},0.0_{-0.0}^{+12.0}\mathrm{MeV})$, the ${\Lambda }_b(5/2^{-})$ with $(5.94_{-0.13}^{+0.13}\mathrm{GeV},\approx 0\mathrm{MeV})$, the ${\Xi }_b(3/2^{-})$ with $(6.10_{-0.10}^{+0.15}\mathrm{GeV},1.4{}_{-1.4}^{+11.6}\mathrm{MeV})$, and the ${\Xi }_b(5/2^{-})$ with $(6.11_{-0.10}^{+0.15}\mathrm{GeV},1.0{}_{-1.0}^{+7.4}\mathrm{MeV})$. Their mass splittings are calculated to be $M_{{\Lambda }_b(5/2^{-})}-M_{{\Lambda }_b(3/2^{-})}=17\pm 7\mathrm{MeV}$ and $M_{{\Xi }_b(5/2^{-})}-M_{{\Xi }_b(3/2^{-})}=14\pm 7\mathrm{MeV}$. All these baryons are explained as the $P$-wave bottom baryons of the $\rho$-mode, where the orbital excitation is between the two light quarks. However, the existence of this mode is still controversial, so their experimental searches can verify both our approach and the existence of the $\rho$-mode, which can significantly improve our understanding on the internal structure of hadrons.

6 pages, 2 figures, 1 table, revised version to be published in EPJC

References in corpus (5)

• Strong and radiative decays of the low-lying $S$- and $P$-wave singly heavy baryons
• Structure of charmed baryons studied by pionic decays
• Single heavy baryons with chiral partner structure in a three-flavor chiral model
• Observation of new baryons in the ${\Xi }_b^{-}{\pi }^{+}{\pi }^{-}$ and ${\Xi }_b^0{\pi }^{+}{\pi }^{-}$ systems
• Determination of the possible quantum numbers for the newly observed ${\Xi }_b(6227{)}^0$ state

Cited by in corpus (4)

• Spectroscopic properties of $1F$-wave singly bottom baryons
• Baryons and baryoniums in the perspective of QCD sum rules
• Probing the inner structures of the observed ${\Xi }_b$ and ${\Xi }_b^{\prime }$ resonances
• Strange pentaquark molecules in QCD sum rules