Quark Confinement for Multi-Quark Systems -- Application to Fully-Charmed Tetraquarks
Abstract
A new color basis system and confinement mechanism for multi-quark systems are proposed according to the string-type picture of QCD. The color string configurations in the strong coupling QCD are implemented in the set of color basis states. The extended color Hilbert space for QQ Q Q systems includes a ''hidden color'' state, which mixes with two-meson states Q Q+Q Q, This mixing effect leads to an attractive potential sufficient to form a bound state. We apply a realistic Hamiltonian model with the new scheme to fully charmed tetraquark states, cc c c, and find a bound and two resonant states, which could potentially correspond to the cc c c tetraquark candidates recently observed in experiments.
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