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Spectrum of the fully-heavy tetraquark state QQbar Q' bar Q'

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

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

classification hep-ph
keywords statestatestetraquarkmodelsquarkantidiquarkdiquarkeffects
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Forward citations

Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    hep-ph 2026-05 accept novelty 6.0

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    hep-ph 2026-07 conditional novelty 5.0

    Counting symmetry-allowed states up to orbital angular momentum L=3 predicts low-lying compact tetraquarks prefer J^P=2^+, matching the observed 2^{++} fully charmed X states.

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    hep-ph 2026-07 unverdicted novelty 5.0

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    hep-ex 2026-04 unverdicted novelty 5.0

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    hep-ex 2026-04 conditional novelty 5.0

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    hep-ph 2026-04 unverdicted novelty 5.0

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