Title: Does the $J^{PC}=1^{+-}$ counterpart of the $X(3872)$ exist?
Abstract:We explore the possible existence of the $J^{PC}=1^{+-}$ counterpart of the $X(3872)$ state in a coupled-channels calculation within a constituent quark model, with the aim of confirming the existence...We explore the possible existence of the $J^{PC}=1^{+-}$ counterpart of the $X(3872)$ state in a coupled-channels calculation within a constituent quark model, with the aim of confirming the existence of the so-called $\tilde{X}(3872)$ state observed by the COMPASS Collaboration. We found that such state may exist as an almost equal mixture of the $q\bar q$ $h_c(2P)$ state and $D^*\bar D^{(*)}$ channels. A second state with similar composition of $q\bar q$ $h_c(2P)$ and $D^*\bar D^{(*)}$ channels appears in the same energy region and should be interpreted as the $q\bar q$ $h_c(2P)$ state highly renormalized by the coupling with $D^*\bar D^{(*)}$ components. We provide predictions of strong and radiative decays that could help to clarify the existence of such structures.Read More
Publication Year: 2021
Publication Date: 2021-11-03
Language: en
Type: preprint
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