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 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 $c\bar{c}$ $2^1{P}_1$ state and $D^{\ast }{\bar{D}}^{(\ast )}$ channels: One that can be identified as the dressed $c\bar{c}$ $2^1{P}_1$ and a bound state below the $D{\bar{D}}^{\ast }$ threshold. We provide predictions of strong and radiative decays that could help to clarify the existence of such structures.

6 pages, 4 tables, 2 figures

References in corpus (3)

• Constituent quark model study of the meson spectra
• Axial Resonances in the Open and Hidden Charm Sectors
• Charmonium resonances in the 3.9 GeV/$c^2$ energy region and the $X(3915)/X(3930)$ puzzle

Cited by in corpus (5)

• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• New insight into the exotic states strongly coupled with the $D{\bar{D}}^{\ast }$ from the $T_{cc}^{+}$
• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs