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Andreev, Oleg (2022): QQ(q)over-bar(q)over-bar potential in string models. In: Physical Review D, Bd. 105, Nr. 8, 86025

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Abstract

We propose a string theory construction for the system of two heavy quarks and two light antiquarks. The potential of the system is a function of separation between the quarks. We define a critical separation distance below which the system can be thought of mainly as a compact tetraquark. The results show the universality of the string tension and factorization at small separations expected from heavy quark-diquark symmetry. Our estimate of the screening length is in the range of lattice QCD. We also make a comparison with the potential of the QQq system. The potentials look very similar at small quark separations but at larger separations they differ. The reason for this is that the flattening of the potentials happens at two well-separated scales as follows from the two different mechanisms: string breaking by light quarks for QQq and string junction annihilation for QQ (q) over bar(q) over bar. Moreover, a similar construction can also be applied to the (Q) over bar(Q) over bar qq system.

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