Monte Carlo simulation of Tetraquark and Meson mixing in a dynamical model of the strong interaction

We study the formation of a tetraquark state from the presence of two initially uncorrelated states, using a Monte Carlo simulation based on a QCD-inspired model (String-Flip), incorporating an effective many-body potential between particles. In a first step we study a two body system linked by a linear potential and elaborate on how to built a variational wave function that can mimic the exact result and from general requirements we propose an anzats for a four body system that can be bound either as two mesons or as a tetraquark. We present preliminary results of the implementation of these ideas and the procedure to evaluate the 4-body potential. (paper)