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The incompressibility of finite fermionic systems is investigated usinganalytical approaches and microscopic models. The incompressibility of a systemis directly linked to the zero-point kinetic energy of constituent fermions,and this is a universal feature of fermionic systems. In the case of atomicnuclei, this implies a constant value of the incompressibility in medium-heavyand heavy nuclei. The evolution of nuclear incompressibility along Sn and Pbisotopic chains is analyzed using global microscopic models, based on bothnon-relativistic and relativistic energy functionals. The result is an almostconstant incompressibility in stable nuclei and systems not far from stability,and a steep decrease in nuclei with pronounced neutron excess, caused by theemergence of a soft monopole mode in neutron-rich nuclei.

Incompressibility of finite fermionic systems: stable and exotic atomic nuclei