The $X(6900)$ peak could be a molecular state

Abstract

The analyses of the LHCb data on $X(6900)$ found in di-$J/\psi$ and $J/\psi \psi (3686)$ systems are performed using a momentum-dependent {Flatté}-like parameterization. The use of the pole counting rule and spectral density function sum rule give consistent conclusions that $X(6900)$ may not be a molecule of $J/\psi \psi (3686)$. Nevertheless it is still possible that $X(6900)$ be a molecule of higher states, such as $J/\psi \psi (3770)$, ${\chi }_{c0}{\chi }_{c2}$, etc.

arXiv comment7pages with 9 figures

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• Possible bound states in the triple-${\eta }_c$ and triple-$J/\psi$ systems