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Spectrum of the fully-heavy tetraquark state $QQ\bar Q' \bar Q'$
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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.
Forward citations
Cited by 6 Pith papers
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Light quark fragmentation into S-wave fully charmed tetraquark
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The first NLO QCD corrections to fully charm tetraquark → γγ decay are given, with photon-fusion production cross sections predicted.
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Lattice calculation of the $\eta_c\eta_c$ and $J/\psi J/\psi$ s-wave scattering length
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.
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All-charm tetraquarks at hadron colliders: A high-precision fragmentation perspective
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.
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Symmetry Analysis of Compact Tetraquark States and Implications for the Fully Charmed Candidates $X(6600)$, $X(6900)$, and $X(7100)$
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.
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A novel configuration of gluonic tetraquark state
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).
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