  The incompressibility of both nuclear matter and finite nuclei is estimated
by the monopole compression modes in nuclei in the framework of a
nonrelativistic Hartree-Fock-Bogoliyubov method and the coherent density
fluctuation model. The monopole states originate from vibrations of the nuclear
density. The calculations in the model for the incompressibility in finite
nuclei are based on the Brueckner energy-density functional for nuclear matter.
Results for the energies of the breathing vibrational states and finite nuclei
incompressibilities are obtained for various nuclei and their values are
compared with recent experimental data. The evolution of the isoscalar giant
monopole resonance (ISGMR) along Ni, Sn, and Pb isotopic chains is discussed.
This approach can be applied to analyses of neutron stars properties, such as
incompressibility, symmetry energy, slope parameter, and other astrophysical
quantities, as well as for modelling dynamical behaviors within stellar
environments.
