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arXiv · 1403.5900

Heavy tetraquark confining potential in Coulomb gauge QCD

Carina Popovici·Christian S. Fischer
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Abstract

We present an analytic nonperturbative solution of the Yakubovsky equation for tetraquark states in the case of equal separations and energies, and demonstrate a direct connection between the tetraquark confinement potential and the temporal gluon propagator. To this end we employ a leading-order heavy quark mass expansion of the Coulomb gauge QCD action, and use the dressed two-point functions of the Yang-Mills sector only. As a result we find a bound state energy that rises linear with distance and a string tension twice as large as in a $q\bar{q}$-system.

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Carina Popovici, Christian S. Fischer. 2014-03-24. Heavy tetraquark confining potential in Coulomb gauge QCD. https://doi.org/10.1103/physrevd.89.116012

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