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29 March 2024
 
  » arxiv » 1907.5177

 Article overview


Spectrum of the fully-heavy tetraquark state $QQar Q' ar Q'$
Guang-Juan Wang ; Lu Meng ; Shi-Lin Zhu ;
Date 11 Jul 2019
AbstractIn this work, we systematically calculate the mass spectra of the $S$-wave fully heavy tetraquark states $bbar bar b$, $ccar car c$, and $bbar car c$ in two nonrelativistic quark models. A tetraquark state may be an admixture of a $6_c-ar 6_c$ state and a $ar 3_c-3_c$ one, where $6_c-ar 6_c$($ar 3_c-3_c$) denotes the color configuration with a $6_c$ ($ar 3_c$) diquark and a $ar 6_c$ ($3_c$) antidiquark. For the tetraquark states $bbar bar b$ and $ccar car c$ with $J^{PC}={0^{++}}$, the $6_c-ar 6_c$ state is lower than the $ar 3_c-3_c$ one in both the two quark models, while the order of the $bbar car c$ states depend on models. The $6_c-ar 6_c$ and $ar 3_c-3_c$ 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 $QQar Q’ar Q’$ system. With the couple-channel effects, we obtain the similar mass spectra. The numerical results show that the ground $QQar Q’ar Q’$ ($Q=b,c$ 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.
Source arXiv, 1907.5177
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