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Some remarks on $X(6900)$.

2020 
The analysis of the LHCb data on $X(6900)$ found in the di-$\jpsi$ system is performed using a momentum-dependent Flatt\`{e}-like parameterization. %The $S$-wave and $P$-wave $\jpsi \jpsi$ couples associated with other channels being investigated, the pole positions of $X(6900)$ and $X(7200)$ are determined. For the $S$-wave $\jpsi \jpsi$ couple, 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 the two states, if only the di-$\jpsi$ experimental data with current statistics are available. We suggest that experiments measure other channels, such as $\jpsi \psi(3770)$, $\jpsi \psi_2(3823)$, $\jpsi \psi_3(3842)$, and $\chi_{c0} \chi_{c1}$, to better understand the nature of $X(6900)$, and $\eta_c(2S) \eta_c(2S)$, $\jpsi \psi(4160)$, $\chi_{c0} \chi_{c0}(3860)$, and $\chi_{c0}\chi_{c1}(3872)$, to confirm the $X(7200)$ state.
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