$P$-wave single charmed baryons of the $SU(3)$ flavor ${\bar{\mathbf{3}}}_{\mathbf{F}}$

We study the $P$-wave single charmed baryons of the $SU(3)$ flavor ${\bar{\mathbf{3}}}_{\mathbf{F}}$ within the framework of heavy quark effective theory. We systematically calculate their strong and radiative decay properties using the light-cone sum rule method. Besides the ${\mathrm{\Lambda }}_c(2595)$, ${\mathrm{\Lambda }}_c(2625)$, ${\mathrm{\Xi }}_c(2790)$, and ${\mathrm{\Xi }}_c(2815)$, our results suggest the existence of two additional ${\mathrm{\Lambda }}_c$ baryons and two additional ${\mathrm{\Xi }}_c$ baryons. Their masses, mass splittings within the same multiplets, and decay properties are summarized in Table V for future experimental searches.