Quark structure of the ${\chi }_{\mathrm{c}}(3P)$ and $X(4274)$ resonances and their strong and radiative decays

Abstract

We calculate the masses of ${\chi }_{\mathrm{c}}(3P)$ states with threshold corrections in a coupled-channel model. The model was recently applied to the description of the properties of ${\chi }_{\mathrm{c}}(2P)$ and ${\chi }_{\mathrm{b}}(3P)$ multiplets [Phys.\ Lett.\ B {\bf 789}, 550 (2019)]. We also compute the open-charm strong decay widths of the ${\chi }_{\mathrm{c}}(3P)$ states and their radiative transitions. According to our predictions, the ${\chi }_{\mathrm{c}}(3P)$ states should be dominated by the charmonium core, but they may also show small meson-meson components. The $X(4274)$ is interpreted as a $c\bar{c}$ ${\chi }_{c1}(3P)$ state. More informations on the other members of the ${\chi }_{\mathrm{c}}(3P)$ multiplet, as well as a more rigorous analysis of the $X(4274)$'s decay modes, are needed to provide further indications on the quark structure of the previous resonance.