Quark confinement for multiquark systems: Application to fully charmed tetraquarks

A new color basis system and confinement mechanism for multiquark 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

Q Q \bar{Q} \bar{Q}

systems includes a “hidden color” state, which mixes with two-meson states

Q \bar{Q} + Q \bar{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,

c c \bar{c} \bar{c}

, and find a bound and two resonant states, which could potentially correspond to the

c c \bar{c} \bar{c}

tetraquark candidates recently observed in experiments.

Note:

6 pages, 3 figures

quark: confinement
quantum chromodynamics: strong coupling
color: string
tetraquark
multiquark
Hamiltonian
Hilbert space
bound state
mixing
quark antiquark

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