<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi></mml:math>-wave charmed and bottomed baryons from QCD sum rules

Abstract

We study the $D$-wave charmed baryons of $SU(3)$ flavor ${\overline{\mathbf{3}}}_{F}$ using the method of QCD sum rules in the framework of heavy quark effective theory. We find that the ${\mathrm{\ensuremath{\Lambda}}}_{c}(2880)$, ${\mathrm{\ensuremath{\Xi}}}_{c}(3055)$, and ${\mathrm{\ensuremath{\Xi}}}_{c}(3080)$ can be well described by the $D$-wave $SU(3)$ ${\overline{\mathbf{3}}}_{F}$ charmed baryon multiplets of ${J}^{P}=3/{2}^{+}$ and $5/{2}^{+}$, which contain two $\ensuremath{\lambda}$-mode orbital excitations; i.e., the ${\mathrm{\ensuremath{\Lambda}}}_{c}(2880)$ has ${J}^{P}=5/{2}^{+}$, and the ${\mathrm{\ensuremath{\Xi}}}_{c}(3055)$ and ${\mathrm{\ensuremath{\Xi}}}_{c}(3080)$ have ${J}^{P}=3/{2}^{+}$ and $5/{2}^{+}$, respectively. Our results also suggest that the ${\mathrm{\ensuremath{\Lambda}}}_{c}(2880)$ has a partner state, the ${\mathrm{\ensuremath{\Lambda}}}_{c}(3/{2}^{+})$ of ${J}^{P}=3/{2}^{+}$. Its mass is around $2.8{1}_{\ensuremath{-}0.18}^{+0.33}\text{ }\text{ }\mathrm{GeV}$, and the mass difference between it and the ${\mathrm{\ensuremath{\Lambda}}}_{c}(2880)$ is $2{8}_{\ensuremath{-}24}^{+45}\text{ }\text{ }\mathrm{MeV}$. We also evaluate the masses of their bottom partners.