We consider a collection of Euclidean random balls in ${Bbb R}^d$ generated by a determinantal point process inducing interaction into the balls. We study this model at a macros-copic level obtained by a zooming-out and three different regimes --Gaus
sian, Poissonian and stable-- are exhibited as in the Poissonian model without interaction. This shows that the macroscopic behaviour erases the interactions induced by the determinantal point process.
