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Interactions of confining strings in SU(3) gluodynamics

V. G. Bornyakov·P. Yu. Boyko·M. N. Chernodub·M. I. Polikarpov
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Abstract

We study the interaction energy of the confining strings in the static rectangular tetraquark system in SU(3) gluodynamics. Using a two-state approximation we calculate the energy eigenvalues and corresponding eigenvectors of string states of different geometry. The interactions are studied both for the co-aligned and for the counter-aligned parallel strings as the functions of positions of the tetraquark constituents. We formulate a simple soap-film model and show that with a good accuracy the string interaction energy corresponding to the ground state of the tetraquark system can be described by this soap-film model.

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V. G. Bornyakov, P. Yu. Boyko, M. N. Chernodub, M. I. Polikarpov. 2005-08-03. Interactions of confining strings in SU(3) gluodynamics. https://arxiv.org/abs/hep-lat/0508006

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