New Dynamics (?) of $J\mathrm{/}\psi J\mathrm{/}\psi$ and $\mathrm{{\rm Y}}\mathrm{{\rm Y}}$ families from QCD Laplace sum rules at NLO

Motivated by the recent CMS data on a family of $2^{++}$ states from $J\mathrm{/}\psi J\mathrm{/}\psi$ mass spectrum, we determine the masses of the $2^{++}$ $J\mathrm{/}\psi J\mathrm{/}\psi$ molecule and $cc\bar{c}\bar{c}$ states, by using (for the first time) the two lowest QCD Laplace Sum Rules (LSR) moment-ratios within the standard optimization criteria with respect to the LSR variable $\tau$ and to the QCD continuum threshold $t_c$ implemented by the $R_{P\mathrm{/}C}$ requirement that the lowest ground state (Pole) contribution to the LSR is larger than the QCD continuum one. Including factorized NLO perturbative and LO $G^4$ gluon condensates in the OPE, we obtain the the lowest ground state masses: $M_{J\mathrm{/}\psi J\mathrm{/}\psi }^{2^{++}}=6521(69)$ MeV and $M_{cc\bar{c}\bar{c}}^{2^{++}}=6347(99)$ MeV with the couplings,: $f_{J\mathrm{/}\psi J\mathrm{/}\psi }^{2^{++}}=96(14)$ keV and $f_{cc\bar{c}\bar{c}}^{2^{++}}=151(29)$ keV normalized as $f_{\pi }=93$ MeV. The masses of the first radial excitations are :$M_{J\mathrm{/}\psi J\mathrm{/}\psi }^{2^{++}rad}=7987(251)$ MeV and $M_{cc\bar{c}\bar{c}}^{2^{++}rad}=7739(221)$ MeV indicating a mass-splitting about $2.5(M_{\psi (2S)}-M_{J\mathrm{/}\psi })$. The decay constants are $f_{J\mathrm{/}\psi J\mathrm{/}\psi }^{2^{++}rad}=248(70)$ keV and: $f_{cc\bar{c}\bar{c}}^{2^{++}\mathrm{r}\mathrm{a}\mathrm{d}}=453(96)$ keV which are (unexpectedly) larger than the lowest ground state ones. These features may indicate some new dynamics compared to ordinary $\bar{c}c$ states. We extend the analysis to the $0^{++}$ states and to the $\mathrm{{\rm Y}}\mathrm{{\rm Y}}$ family where the results are compiled in Tables 2 and 3. We critically review some other QCD spectral sum rules (QSSR) results. We suggest that the X(6600) might be a molecule ground state. Using a two-component mass mixing scheme, the X(6900) and X(7100) might be interpreted as a mixture of the $cc\bar{c}\bar{c}$ lowest ground state with its 1st radial excitation via an angle $\theta =5^0$.