Abstract
In this article, we study the ground-state mass of full-heavy tetraquarks $cc\overline{c}\overline{c}$ and $bb\overline{b}\overline{b}$ with solving the nonrelativistic four-body systems. The flux-tube configurations, the tetraquark four-body potential butterfly, and the dimeson potential flip-flop of SU(3) lattice quantum chromodynamics have been applied to describe the tetraquark interaction. Our numerical analysis indicates that the disconnected and connected static potentials can predict the mass of tetraquark very close to experimental data.
Highlights
Gell-Mann and Zweig had schematized the multiquark states with four or more quarks to interpret the observed spectrum of mesons and baryons products such as qqqq ̄ and qqqqq [1,2]
The matrix elements of the ground state without the one gluon exchange (OGE) part are positive with a big peak at the first element, which is caused by the arrangement of Gaussian size parameters
Masses of fully-heavy tetraquark for different flux-tube configurations, the connected butterfly, and the disconnected flip-flop configuration have been computed with solving the nonrelativistic four-body systems
Summary
Gell-Mann and Zweig had schematized the multiquark states with four or more quarks to interpret the observed spectrum of mesons and baryons products such as qqqq ̄ and qqqqq [1,2]. Creutz applied the lattice QCD simulations with the Wilson loop to describe the interquark potential between a quark and an antiquark [17] after that a large amount of effort has been devoted in lattice QCD to study the multiquark force [17,18,19,20,21] These potentials are successful to calculate the energy and the mass of tetraquark systems contained purely heavy quarks [22,23,24]. [20,21] have been constructed the Wilson loops for investigating the interaction between quarks in the four-quark system directly from QCD by using SU(3) lattice QCD at the quenched level and studied the hypothetical flux-tube pictures for the multiquark system
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