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.

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