Does the $J^{PC}=1^{+-}$ counterpart of the $X(3872)$ exist?

Pablo G. Ortega; David R. Entem; Francisco Fernandez

doi:10.1016/j.physletb.2022.137083

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arXiv · 2111.02475

Does the $J^{PC}=1^{+-}$ counterpart of the $X(3872)$ exist?

Pablo G. Ortega·David R. Entem·Francisco Fernandez

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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 of the so-called $\tilde{X}(3872)$ state observed by the COMPASS Collaboration. Two states are found in the energy region of the $\tilde X(3872)$ signal, both with almost equal mixture of $c\bar c$ $2^1P_1$ state and $D^*\bar D^{(*)}$ channels: One that can be identified as the dressed $c\bar c$ $2^1P_1$ and a bound state below the $D\bar D^*$ threshold. We provide predictions of strong and radiative decays that could help to clarify the existence of such structures.

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Pablo G. Ortega, David R. Entem, Francisco Fernandez. 2022-04-04. Does the $J^{PC}=1^{+-}$ counterpart of the $X(3872)$ exist?. https://doi.org/10.1016/j.physletb.2022.137083

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