  Hadron spectroscopy is a powerful tool for testing the standard model and for
the search of new physics. In this work, we create a tetraquark model from a
di-meson interaction inspired by Jacobi coordinates. We consider mesons as
thick points and quantify their interaction with the quark-antiquark
interaction through a factor k (that takes approximately the value 2) in a
central phenomenological potential, reducing the four-body problem finally to a
one body equivalent problem. The eigenproblem is solved using a combination of
the DVR method and perturbation theory in a C++ code. We obtain a mass spectrum
for the tetraquark between 6 GeV and 8 GeV for the ground and first energy
excitation level. Our calculation indicates that our system is compact and that
the non-relativistic approach used in all our formalism is valid.
