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

Abstract

In the hadrocharmonium picture a $\bar{c}c$ state and a light hadron form a bound state. The effective interaction is described in terms of the chromoelectric polarizability of the $\bar{c}c$ state and energy-momentum-tensor densities of the light hadron. This picture is justified in the heavy quark limit, and may successfully account for a hidden-charm pentaquark state recently observed by LHCb. In this work we extend the formalism to the description of hidden-charm tetraquarks, and address the question of whether the resonant states observed by LHCb in the $J/\psi$-$\varphi$ spectrum can be described as hadrocharmonia. This is a non-trivial question because nothing is known about the $\varphi$ meson energy-momentum-tensor densities. With rather general assumptions about energy-momentum-tensor densities in the $\varphi$-meson we show that a $\psi (2S)$-$\varphi$ bound state can exist, and obtain a characteristic relation between its mass and width. We show that the tetraquark $X(4274)$ observed by LHCb in $J/\psi$-$\varphi$ spectrum is a good candidate for a hadrocharmonium. We make predictions which will allow testing this picture. Our method can be generalized to identify other potential hadrocharmonia.

arXiv comment6 pages, 2 figures, discussion improved and references added

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Cited by in corpus (8)

• Pentaquark and Tetraquark states
• Spectrum of fully-heavy tetraquarks from a diquark+antidiquark perspective
• Hidden-charm and bottom tetra- and pentaquarks with strangeness in the hadro-quarkonium and compact tetraquark models
• Monopole and quadrupole contributions to the angular momentum density
• Quark structure of the ${\chi }_{\mathrm{c}}(3P)$ and $X(4274)$ resonances and their strong and radiative decays
• Masses of tetraquark states in the hidden charm sector above $D-D^{\ast }$ threshold
• The strong coupling $g_{XJ/\psi \varphi }$ of $X(4700)\to J/\psi \varphi$ in the light-cone sum rules
• Threshold Effects in Heavy Quarkonium Spectroscopy and Decays