Using recent four-body quark model wave functions and NRQCD, the authors compute two-photon couplings and UPC cross sections for fully charmed tetraquarks, showing resonant terms exceed continuum in J/ψJ/ψ but not in γγ channels.
A non-relativistic model for the $[cc][\bar{c}\bar{c}]$ tetraquark
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abstract
We use a non-relativistic model to study the spectroscopy of a tetraquark composed of $[cc][\bar{c}\bar{c}]$ in a diquark-antidiquark configuration. By numerically solving the Schr\"{o}dinger equation with a Cornell-inspired potential, we separate the four-body problem into three two-body problems. Spin-dependent terms (spin-spin, spin-orbit and tensor) are used to describe the splitting structure of the $c\bar{c}$ spectrum and are also extended to the interaction between diquarks. Recent experimental data on charmonium states are used to fix the parameters of the model and a satisfactory description of the spectrum is obtained. We find that the spin-dependent interaction is sizable in the diquark-antidiquark system, despite the heavy diquark mass, and also that the diquark has a finite size if treated in the same way as the $c\bar{c}$ systems. We find that the lowest $S$-wave $T_{4c}$ tetraquarks might be below their thresholds of spontaneous dissociation into low-lying charmonium pairs, while orbital and radial excitations would be mostly above the corresponding charmonium pair thresholds. Finally, we repeat the calculations without the confining part of the potential and obtain bound diquarks and bound tetraquarks. This might be relevant to the study of exotic charmonium in the quark-gluon plasma. The $T_{4c}$ states could be investigated in the forthcoming experiments at the LHC and Belle II.
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hep-ph 3years
2026 3roles
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The authors compute mass spectra, rearrangement decays, and Regge trajectories for cs s-bar s-bar tetraquarks modeled as axial [cs][s-bar s-bar] systems in a Cornell potential framework with Ds threshold inputs.
In a nonrelativistic quark-diquark model fitted to B_c meson data, the authors predict ground-state masses of ~8.0 GeV for Ω_ccb and ~11.0 GeV for Ω_cbb along with magnetic moments and Regge trajectories for different diquark clusterings.
citing papers explorer
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Two photon decay width of the fully charmed tetraquarks: revisiting prospects for ultraperipheral collisions
Using recent four-body quark model wave functions and NRQCD, the authors compute two-photon couplings and UPC cross sections for fully charmed tetraquarks, showing resonant terms exceed continuum in J/ψJ/ψ but not in γγ channels.
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Compact $cs\bar{s}\bar{s}$ Tetraquarks in the Charm--Strange Sector: Mass Spectra, Rearrangement Decays and Regge Trajectories with $D_s$ Threshold Inputs
The authors compute mass spectra, rearrangement decays, and Regge trajectories for cs s-bar s-bar tetraquarks modeled as axial [cs][s-bar s-bar] systems in a Cornell potential framework with Ds threshold inputs.
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Mass spectrum, magnetic moments and Regge trajectories of $\Omega_{ccb}$ and $\Omega_{cbb}$ baryons in the nonrelativistic quark--diquark model
In a nonrelativistic quark-diquark model fitted to B_c meson data, the authors predict ground-state masses of ~8.0 GeV for Ω_ccb and ~11.0 GeV for Ω_cbb along with magnetic moments and Regge trajectories for different diquark clusterings.