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Spectrum of the fully-heavy tetraquark state $QQ\bar Q' \bar Q'$

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arxiv 1907.05177 v1 pith:P4G6E6K6 submitted 2019-07-11 hep-ph

Guang-Juan Wang , Lu Meng , Shi-Lin Zhu This is my paper · ORCID
classification hep-ph
keywords statestatestetraquarkmodelsquarkantidiquarkdiquarkeffects
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

In this work, we systematically calculate the mass spectra of the $S$-wave fully heavy tetraquark states $bb\bar b\bar b$, $cc\bar c\bar c$, and $bb\bar c\bar c$ in two nonrelativistic quark models. A tetraquark state may be an admixture of a $6_c-\bar 6_c$ state and a $\bar 3_c-3_c$ one, where $6_c-\bar 6_c$($\bar 3_c-3_c$) denotes the color configuration with a $6_c$ ($\bar 3_c$) diquark and a $\bar 6_c$ ($3_c$) antidiquark. For the tetraquark states $bb\bar b\bar b$ and $cc\bar c\bar c$ with $J^{PC}={0^{++}}$, the $6_c-\bar 6_c$ state is lower than the $\bar 3_c-3_c$ one in both the two quark models, while the order of the $bb\bar c\bar c$ states depend on models. The $6_c-\bar 6_c$ and $\bar 3_c-3_c$ mixing effects are induced by the hyperfine interactions between the diquark and antidiquark, while the contributions from the one-gluon-exchange (OGE) Coulomb or the linear confinement potentials vanish for the $QQ\bar Q'\bar Q'$ system. With the couple-channel effects, we obtain the similar mass spectra. The numerical results show that the ground $QQ\bar Q'\bar Q'$ ($Q=b,c$ and $Q'=b,c$) tetraquark states are located above the corresponding scattering states, which indicates that there may not exist a bound state in the scheme of the two quark models.

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Cited by 9 Pith papers

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  1. Light quark fragmentation into S-wave fully charmed tetraquark

    hep-ph 2024-11 conditional novelty 7.0 of 10

    Light quark fragmentation into S-wave fully-charmed tetraquarks is computed at leading order in NRQCD, giving production rates between the gluon and charm channels at the LHC and EIC.

  2. Next-to-leading order QCD corrections to electromagnetic production and decay of fully charm tetraquarks

    hep-ph 2025-12 conditional novelty 6.0 of 10

    The first NLO QCD corrections to fully charm tetraquark → γγ decay are given, with photon-fusion production cross sections predicted.

  3. Lattice calculation of the $\eta_c\eta_c$ and $J/\psi J/\psi$ s-wave scattering length

    hep-lat 2024-11 conditional novelty 6.0 of 10

    A continuum-extrapolated lattice calculation gives a^{0+}_{eta_c eta_c} = -0.104(09) fm and a^{2+}_{J/psi J/psi} = -0.165(16) fm, indicating repulsive interactions.

  4. All-charm tetraquarks at hadron colliders: A high-precision fragmentation perspective

    hep-ph 2026-04 unverdicted novelty 5.5 of 10

    TQ4Q2.0 supplies the first complete, uncertainty-quantified set of NRQCD-based fragmentation functions for all-heavy tetraquarks, including nonconstituent channels and public grids for jet-associated production.

  5. On the nature of fully-charmed four-quark exotic state $X(6900)$ from its photoproduction off nuclei

    hep-ph 2026-08 conditional novelty 5.0 of 10

    Nuclear photoproduction of X(6900) off carbon and tungsten is predicted to differ by 10-30% between compact-tetraquark, J/psi-psi(3770) molecular, and hybrid interpretations, potentially allowing future electron-ion c...

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    hep-ph 2026-07 unverdicted novelty 5.0 of 10

    Symmetry analysis of compact tetraquarks shows low-energy states favor J^P=2+ and places X(6600), X(6900), X(7100) among the lower levels of the fully charmed spectrum.

  7. Constituent-quark-model based coupled-channels calculation of the $\mathbf{bb\bar c\bar c}$ and $\mathbf{bc\bar b\bar c}$ tetraquark systems

    hep-ph 2025-05 accept novelty 5.0 of 10

    A coupled-channels quark-model calculation predicts broad B_c^(∗)B_c^(∗) molecular resonances in the bb̄c̄c system and finds no molecular states in the bc̄b̄c system.

  8. A novel configuration of gluonic tetraquark state

    hep-ph 2024-11 conditional novelty 5.0 of 10

    The predicted masses of the octet-octet-octet tetracharm hybrid states, 6.98 GeV (0++) and 7.26 GeV (0-+), overlap the observed X(6900) and X(7200).

  9. Threshold Effects in Heavy Quarkonium Spectroscopy and Decays

    hep-ph 2019-08 conditional novelty 2.0 of 10

    A coupled-channel extension of the unquenched quark model with one per-multiplet subtraction parameter predicts that χc(2P) states, especially the X(3872), have large molecular components while χb(3P) states are almos...

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