Some remarks on $X(6900)$

Abstract

The analysis of the LHCb data on $X(6900)$ found in the di-$\text{jpsi}$ system is 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 both confining states and molecular states are possible, or it is unable to distinguish the nature of $X(6900)$, if only the di-$\text{jpsi}$ experimental data with current statistics are available. Nevertheless, we found that the lowest state in the di-$J/\psi$ system has very likely the same quantum numbers as $X(6900)$, and $X(6900)$ is probably not interpreted as a $J/\psi -\psi (2S)$ molecular state.

Comments: 4 figures