Search

We use QCD sum rules to study the mass spectra of $P$-wave charmed baryons of the $SU(3)$ flavor ${\mathbf{6}}_{F}$. We also use light cone sum rules to study their $S$- and $D$-wave decays into ground-state charmed baryons together with light pseudoscalar and vector mesons. We work within the framework of heavy quark effective theory, and we also consider the mixing effect. Our results can explain many excited charmed baryons as a whole, including the ${\mathrm{\ensuremath{\Sigma}}}_{c}(2800{)}^{0}$, ${\mathrm{\ensuremath{\Xi}}}_{c}(2923{)}^{0}$, ${\mathrm{\ensuremath{\Xi}}}_{c}(2939{)}^{0}$, ${\mathrm{\ensuremath{\Xi}}}_{c}(2965{)}^{0}$, ${\mathrm{\ensuremath{\Omega}}}_{c}(3000{)}^{0}$, ${\mathrm{\ensuremath{\Omega}}}_{c}(3050{)}^{0}$, ${\mathrm{\ensuremath{\Omega}}}_{c}(3066{)}^{0}$, ${\mathrm{\ensuremath{\Omega}}}_{c}(3090{)}^{0}$, and ${\mathrm{\ensuremath{\Omega}}}_{c}(3119{)}^{0}$. Their masses, mass splittings within the same multiplets, and decay properties are extracted for future experimental searches.

We investigate $P$-wave bottom baryons of the $SU(3)$ flavor ${\mathbf{6}}_{F}$, and systematically study their $D$-wave decays into ground-state bottom baryons and pseudoscalar mesons. Together with [H. X. Chen et al., Phys. Rev. D 91, 054034 (2015); Q. Mao et al., Phys. Rev. D 92, 114007 (2015); H. X. Chen et al., Phys. Rev. D 95, 094008 (2017); H. M. Yang et al.,Eur. Phys. J. C 80, 80 (2020)], a rather complete study is performed on both mass spectra and decay properties of $P$-wave bottom baryons, using the method of QCD sum rules and light-cone sum rules within the framework of heavy quark effective theory. Among all the possibilities, we find four ${\mathrm{\ensuremath{\Sigma}}}_{b}$, four ${\mathrm{\ensuremath{\Xi}}}_{b}^{\ensuremath{'}}$, and six ${\mathrm{\ensuremath{\Omega}}}_{b}$ baryons, with limited widths and so capable of being observed. Their masses, mass splittings within the same multiplets, and decay properties are extracted (summarized in Table VI) for future experimental searches.

We use the method of QCD sum rules within the framework of heavy quark effective theory to study the mass spectrum of the ${\mathrm{\ensuremath{\Sigma}}}_{b}(6097{)}^{\ifmmode\pm\else\textpm\fi{}}$ and ${\mathrm{\ensuremath{\Xi}}}_{b}(6227{)}^{\ensuremath{-}}$, 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 ${J}^{P}=3/{2}^{\ensuremath{-}}$. They belong to the baryon doublet $[{\mathbf{6}}_{F},2,1,\ensuremath{\lambda}]$, 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 ($\ensuremath{\lambda}$-type). This doublet contains six bottom baryons, and we predict masses (mass differences) and decay widths of the other four states to be ${M}_{{\mathrm{\ensuremath{\Omega}}}_{b}(3/{2}^{\ensuremath{-}})}=6.46\ifmmode\pm\else\textpm\fi{}0.12\text{ }\text{ }\mathrm{GeV}$, ${\mathrm{\ensuremath{\Gamma}}}_{{\mathrm{\ensuremath{\Omega}}}_{b}(3/{2}^{\ensuremath{-}})}={58}_{\ensuremath{-}33}^{+65}\text{ }\text{ }\mathrm{MeV}$, ${M}_{{\mathrm{\ensuremath{\Sigma}}}_{b}(5/{2}^{\ensuremath{-}})}\ensuremath{-}{M}_{{\mathrm{\ensuremath{\Sigma}}}_{b}(3/{2}^{\ensuremath{-}})}=13\ifmmode\pm\else\textpm\fi{}5\text{ }\text{ }\mathrm{MeV}$, ${M}_{{\mathrm{\ensuremath{\Xi}}}_{b}^{\ensuremath{'}}(5/{2}^{\ensuremath{-}})}\ensuremath{-}{M}_{{\mathrm{\ensuremath{\Xi}}}_{b}^{\ensuremath{'}}(3/{2}^{\ensuremath{-}})}=12\ifmmode\pm\else\textpm\fi{}5\text{ }\text{ }\mathrm{MeV}$, and ${M}_{{\mathrm{\ensuremath{\Omega}}}_{b}(5/{2}^{\ensuremath{-}})}\ensuremath{-}{M}_{{\mathrm{\ensuremath{\Omega}}}_{b}(3/{2}^{\ensuremath{-}})}=\phantom{\rule{0ex}{0ex}}11\ifmmode\pm\else\textpm\fi{}5\text{ }\text{ }\mathrm{MeV}$. We propose to search for them in further LHCb experiments.