String dynamics and metastability of fully-heavy tetraquarks

Abstract

Multiquark states have been advocated to explain recent experimental data in the heavy-light sector, and there are already speculations about multiquarks containing only heavy quarks and antiquarks. With a rigorous treatment of the four-body problem in current quark models, full-charm $(cc\bar{c}\bar{c})$ and full-beauty $(bb\bar{b}\bar{b})$ tetraquarks are found to be unbound. Thus their stability should rely on more subtle effects that are not included in the simple picture of constituent quarks. The case of $(bc\bar{b}\bar{c})$ might be more favorable if the naive color-additive model of confinement is replaced by a string-inspired interaction.

9 pages, 3 figs., to appear in Phys. Rev. D

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