Consistent Construction of Realistic One-Body Density Matrix in Nuclei

A phenomenological method based on the natural orbital representation is applied to construct the ground state one-body density matrix which describes correctly both density and momentum distributions in $^{4}He$, $^{16}O$ and $^{40}Ca$ nuclei. The parameters of the matrix are fixed by a best fit to the experimental density distribution and to the correlated nucleon momentum distribution. The method allows the natural orbitals, the occupation probabilities and the depletion of the Fermi sea to be obtained. Ground-state characteristics of $^{4}He$, $^{16}O$ and $^{40}Ca$ nuclei, such as rms radii and mean kinetic energies are calculated, as well.