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Here we study the static potential for the two quarks and two antiquarkssystem. First this is done using the tetraquark operator, which has beenpreviously used to calculate the static potential. This is found to give goodresults in the region where the tetraquark is expected to be the ground state,however failing outside it. To repair this, we resort to a variational method.This let us study the first excited state besides the ground state of thesystem in two different particle dispositions, one where the quarks are on thesame side of a rectangle and the other where they are at opposite sides.Results for the field components and for the lagrangian density are presented.

Tetraquark and the flux tube recombination