Mass spectra and wave functions of $T_{QQ\bar{Q}\bar{Q}}$ tetraquarks

Abstract

The compact tetraquark states with fully heavy quark contents $QQ\bar{Q}\bar{Q}$ are studied as the bound states of the diquark-antidiquark within the Bethe-Salpeter framework. The (anti)diquark masses and form factors used are the same as we calculated the doubly heavy baryons in a previous work. Under the instantaneous approximation, the three-dimensional (Bethe-)Salpeter equation of the tetraquarks is derived and solved numerically to obtain the corresponding mass spectra and wave functions of the tetraquarks with $J^{PC}=0^{++}$, $1^{+-}$, and $2^{++}$. Our results show that the three ground states of $cc\bar{c}\bar{c}$ locate in the mass range of $6.4\sim 6.5$GeV, and the $bb\bar{b}\bar{b}$ states in mass range of $19.2\sim 19.3$GeV. The obtained relativistic wave functions naturally include the mixing effects from the possible $D$\,(or $G$) partial waves, and then can be further used to do precise calculations of the tetraquark decays. Based on the obtained results, the LHCb's observation $X(6900)$ is less likely to be the ground states of compact $cc\bar{c}\bar{c}$ tetraquarks but might be the first or second excited states. In addition, a widely used propagator-like form factor is also investigated and discussed.

18 pages, 23 figures, Version updated with the PRD

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Cited by in corpus (27)

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• $S$-wave fully charmed tetraquark resonant states
• Higher fully-charmed tetraquarks: Radial excitations and P-wave states
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• Spectrum of the S-wave fully-heavy tetraquark states
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• The lineshape of the compact fully heavy tetraquark
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
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• The two-photon decay of X(6900) from light-by-light scattering at the LHC
• Pseudoscalar charmonium pair interactions via the Pomeron exchange mechanism
• Hadronic molecules with four charm or beauty quarks
• P-wave fully charm and fully bottom tetraquark states
• Models and Potentials in Hadron Spectroscopy
• Fully charmed P-wave tetraquark resonant states in the quark model
• Mass spectra, wave functions and mixing effects of the $(bcq)$ baryon
• The ground states of hidden-charm tetraquarks and their radial excitations
• Discovering an Unquenched Dynamics Mechanism for Charmonium Scattering
• Strong decays of $P_{\psi }^N(4440{)}^{+}$ and $P_{\psi }^N(4457{)}^{+}$ within the Bethe-Salpeter framework
• A proposal to the '$\frac{1}{2}$ vs. $\frac{3}{2}$ puzzle'