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In the hadrocharmonium picture a $\bar cc$ state and a light hadron form abound state. The effective interaction is described in terms of thechromoelectric polarizability of the $\bar cc$ state and energy-momentum-tensordensities of the light hadron. This picture is justified in the heavy quarklimit, and may successfully account for a hidden-charm pentaquark staterecently observed by LHCb. In this work we extend the formalism to thedescription of hidden-charm tetraquarks, and address the question of whetherthe resonant states observed by LHCb in the $J/\psi$-$\phi$ spectrum can bedescribed as hadrocharmonia. This is a non-trivial question because nothing isknown about the $\phi$ meson energy-momentum-tensor densities. With rathergeneral assumptions about energy-momentum-tensor densities in the $\phi$-mesonwe show that a $\psi(2S)$-$\phi$ bound state can exist, and obtain acharacteristic relation between its mass and width. We show that the tetraquark$X(4274)$ observed by LHCb in $J/\psi$-$\phi$ spectrum is a good candidate fora hadrocharmonium. We make predictions which will allow testing this picture.Our method can be generalized to identify other potential hadrocharmonia.

On tetraquarks with hidden charm and strangeness as phi-psi(2S) hadrocharmonium