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It is shown that the use of a density dependent effective Pauli potentialtogether with a nucleon-nucleon interaction potential plays a crucial role toreproduce not only the binding energies but also the matter root mean squareradii of medium mass range spin-isospin saturated nuclei. This study isperformed with a semiclassical Monte Carlo many-body simulation within thecontext of a simplified nucleon-nucleon interaction to focus on the effect ofthe genuine correlations due to the fermionic nature of nucleons. The procedureobtained is rather robust and it does not depend on the detailed features ofthe nucleon-nucleon interaction. For nuclei below saturation the densitydependence may be represented in terms either of the nucleon number, $A$, orthe associated Fermi momenta. When testing the simulation procedure foridealized "infinite" symmetric nuclear matter within the corresponding range ofdensities, it turns out that finite size effects affect the Pauli potentialstrength parametrization in systems up to about 120 particles while remainingapproximately stable for larger systems.

Simulation of symmetric nuclei and the role of Pauli potential in binding energies and radii