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Masses and decay widths of $Ξ_{c/b}$ and $Ξ^\prime_{c/b}$ baryons (2010.12437v3)

Published 23 Oct 2020 in hep-ph

Abstract: In this article, we present a complete classification of the negative parity $\Xi'{c/b}$ and $\Xi{c/b}$ $P$-wave states: 7 belonging to the $SU(3)$ flavor sextet and 7 to the flavor anti-triplet, the calculation of the $\Xi'{c/b}$ and $\Xi{c/b}$ strong partial decay widths into $2\Sigma_c \bar{K}$, $2\Xi_c{'} \pi$, $2\Sigma_c \bar{K}$, $4\Xi_c{'} \pi$, $\Lambda_c{'} \bar{K}$, $\Xi_c{} \pi$ and $\Xi_c{} \eta$ channels both within the Elementary Emission Model (EEM) and the $3P_0$ model, and the calculation of the electromagnetic decay widths for $\Xi'{c/b}$ and $\Xi{c/b}$ 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 $\Xi_{c}(2923)$, $\Xi_{c}(2939)$, and $\Xi_{c}(2965)$ states, as well as for the $\Xi_{c}$'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 $\Xi_c$ states. Very recently the LHCb collaboration reported the observation of two new $\Xi_b$ states, namely $\Xi_b(6327){0}$ and $\Xi_b(6333)$, in $\Lambda_b0 K{-} \pi{+}$ 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 $\Xi_b$ system with $J{P}_{\Xi_b(6327){0}}=\frac{3}{2}{+}$ and $J{P}_{\Xi_b(6333){0}}=\frac{5}{2}{+}$.

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