2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/38874We 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.16 pages, 40 figures, ReVTeX 4 styleHigh Energy Physics - LatticeHigh Energy Physics - PhenomenologyHigh Energy Physics - Theorytext