D-wave charmed and bottomed baryons from QCD sum rules

Abstract

We study the $D$-wave charmed baryons of $SU(3)$ flavor ${\bar{3}}_F$ using the method of QCD sum rule in the framework of heavy quark effective theory (HQET). We find that the ${\Lambda }_c(2880)$, ${\Xi }_c(3055)$ and ${\Xi }_c(3080)$ can be well described by the $D$-wave $SU(3)$ ${\bar{3}}_F$ charmed baryon multiplets of $J^P=3/2^{+}$ and $5/2^{+}$, which contain two $\lambda$-mode orbital excitations, i.e., the ${\Lambda }_c(2880)$ has $J^P=5/2^{+}$, and the ${\Xi }_c(3055)$ and ${\Xi }_c(3080)$ have $J^P=3/2^{+}$ and $5/2^{+}$, respectively. Our results also suggest that the ${\Lambda }_c(2880)$ has a partner state, the ${\Lambda }_c(3/2^{+})$ of $J^P=3/2^{+}$. Its mass is around $2.81_{-0.18}^{+0.33}$ GeV, and the mass difference between it and the ${\Lambda }_c(2880)$ is $28_{-24}^{+45}$ MeV. We also evaluate the masses of their bottom partners.

22 pages, 11 figures, 2 tables. accepted by PRD

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• $D$-wave heavy baryons of the $SU(3)$ flavor $6_F$
• Identifying the ${\Xi }_b(6227)$ and ${\Sigma }_b(6097)$ as $P$-wave bottom baryons of $J^P=3/2^{-}$
• Study of $P$-wave excitations of observed charmed strange baryons
• Interpretation of the observed ${\Lambda }_b(6146{)}^0$ and ${\Lambda }_b(6152{)}^0$ states as 1$D$ bottom baryons
• Strong Decays of observed ${\Lambda }_c$ Baryons in the ${}^3{P}_0$ Model
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• Determination of the possible quantum numbers for the newly observed ${\Xi }_b(6227{)}^0$ state
• Analysis of the strong vertexes of ${\Sigma }_c^{\ast }ND$ and ${\Sigma }_b^{\ast }NB$ in QCD sum rules