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The natural orbitals and natural occupation numbers of various N = Z, sp andsd shell nuclei are calculated by applying a correlated one-body densitymatrix. The correlated density matrix has been evaluated by considering centralcorrelations of Jastrow type and an approximation named factor clusterexpansion. The correlation effects on the natural orbitals, natural occupationnumbers and the Fermi sea depletion are discussed and analysed. In addition, anapproximate expression for the correlated one-body density matrix of thenuclear matter has been used for the evaluation of the relative momentumdistribution and the Fermi sea depletion. We found that the value of the Fermisea depletion is higher in closed shell nuclei compared to open shell ones andit is lower compared to the case of nuclear matter. This statement could beconfirmed by relevant experimental studies.

Natural orbitals representation and Fermi sea depletion in finite nuclei and nuclear matter