Analysis of the D-wave $\hat{I}\pounds$-type charmed baryon states with the QCD sum rules

Abstract

We construct the $\hat{I}\pounds$-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 $\hat{I}{\text{c◯}}_c(0,2,{\frac{1}{2}}^{+})$, $\hat{I}{\text{c◯}}_c(0,2,{\frac{3}{2}}^{+})$ and $\hat{I}{\text{c◯}}_c(0,2,{\frac{5}{2}}^{+})$ states are in excellent agreement with the experimental data $ 3327.1\pm1.2 \mbox{ MeV}$ from the LHCb collaboration, and support assigning the $\hat{I}{\text{c◯}}_c(3327)$ to be the $\hat{I}\pounds$-type D-wave $\hat{I}{\text{c◯}}_c$ state with the spin-parity $J^P={\frac{1}{2}}^{+}$, ${\frac{3}{2}}^{+}$ or ${\frac{5}{2}}^{+}$.

26 pages, 13 figures