arXiv2021
In this article, we present a complete classification of the negative parity $Ξ'_{c/b}$ and $Ξ_{c/b}$ $P$-wave states: 7 belonging to the $SU(3)$ flavor sextet and 7 to the flavor anti-triplet, the calculation of the $Ξ'_{c/b}$ and $Ξ_{c/b}$ strong partial decay widths into $^2Σ_c \bar{K}$, $^2Ξ_c^{'} π$, $^2Σ_c \bar{K}$, $^4Ξ_c^{'} π$, $Λ_c^{'} \bar{K}$, $Ξ_c^{} π$ and $Ξ_c^{} η$ channels both within the Elementary Emission Model (EEM) and the $^3P_0$ model, and the calculation of the electromagnetic decay widths for $Ξ'_{c/b}$ and $Ξ_{c/b}$ radiative decays. By means of the equal-spacing mass rule and by the analysis of the strong partial decay widths, we suggest possible assignments for the new LHCb $Ξ_{c}(2923)$, $Ξ_{c}(2939)$, and $Ξ_{c}(2965)$ states, as well as for the $Ξ_{c}$'s previously reported by Belle and BaBar. Our results can be tested by future experiments, at LHCb and Belle, disentangling the remaining missing piece of information, {\it i.e.} the quantum numbers. Finally, a comparison is made between a three-quark and a quark-diquark description of $Ξ_c$ states. Very recently the LHCb collaboration reported the observation of two new $Ξ_b$ states, namely $Ξ_b(6327)^{0}$ and $Ξ_b(6333)$, in $Λ_b^0 K^{-} π^{+}$ channel with a statistical significance larger than nine standard deviations. The experimental masses and widths of these two states are consistent with our mass and width predictions for the doublet of D-wave excitations of the $Ξ_b$ system with $J^{P}_{Ξ_b(6327)^{0}}=\frac{3}{2}^{+}$ and $J^{P}_{Ξ_b(6333)^{0}}=\frac{5}{2}^{+}$.