Analysis of the D-wave $\Sigma$-type charmed baryon states with the QCD sum rules

Abstract

We construct the $\Sigma$-type currents to investigate the D-wave charmed baryon states with the QCD sum rules systematically. The predicted masses $M=3.35_{-0.18}^{+0.13}\mathrm{GeV}$ ($3.33_{-0.16}^{+0.13}\mathrm{GeV}$), $3.34_{-0.18}^{+0.14}\mathrm{GeV}$ ($3.35_{-0.16}^{+0.13}\mathrm{GeV}$) and $3.35_{-0.13}^{+0.12}\mathrm{GeV}$ ($3.35_{-0.14}^{+0.12}\mathrm{GeV}$) for the ${\Omega }_c(0,2,{\frac{1}{2}}^{+})$, ${\Omega }_c(0,2,{\frac{3}{2}}^{+})$ and ${\Omega }_c(0,2,{\frac{5}{2}}^{+})$ states are in excellent agreement with the experimental data $3327.1\pm 1.2\text{mbox}MeV$ from the LHCb collaboration, and support assigning the ${\Omega }_c(3327)$ to be the $\Sigma$-type D-wave ${\Omega }_c$ state with the spin-parity $J^P={\frac{1}{2}}^{+}$, ${\frac{3}{2}}^{+}$ or ${\frac{5}{2}}^{+}$.

Comments: 26 pages, 13 figures