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

Spectroscopy of the tetraquark $c\bar{c}$-$c\bar{c}$ in a non-relativistic approach using a phenomenological QCD model