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Pair structure of heavy tetraquark systems
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abstract
We study the pair description of heavy tetraquark systems $|QQ\bar Q \bar Q\rangle$ in the frame of a non-relativistic potential model. By taking the two heavy quark pairs $(Q\bar Q)$ as colored clusters, the four-quark Schr\"odinger equation is reduced to a two-pair equation, when the inner motion inside the pairs can be neglected. Taking into account all the Casimir scaling potentials between two quarks and using the lattice QCD simulated mixing angle between the two color-singlet states for the tetraquark system, we extracted a detailed pair potential between the two heavy quark pairs.
Forward citations
Cited by 3 Pith papers
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Renormalon subtracted nonrelativistic QCD for heavy hadron systems
MRS-pNRQCD plus GFMC stabilizes heavy-hadron spectroscopy; NNLO baryon masses undershoot lattice QCD by 125–175 MeV with 1/m_Q scaling, and a critical mass ratio for tetraquark binding is extracted.
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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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Investigating triply heavy tetraquark states through QCD sum rules
QCD sum rules with condensates up to dimension 9 predict triply heavy tetraquark masses of 5.4 to 6.2 GeV for charm systems and 14.9 to 15.7 GeV for bottom systems.
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