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The one body density matrix, momentum distribution, natural orbits and quasihole states of 16O and 40Ca are analyzed in the framework of the correlatedbasis function theory using state dependent correlations with central andtensor components. Fermi hypernetted chain integral equations and singleoperator chain approximation are employed to sum cluster diagrams at allorders. The optimal trial wave function is determined by means of thevariational principle and the realistic Argonne v8' two-nucleon and Urbana IXthree-nucleon interactions. The correlated momentum distributions are in goodagreement with the available variational Monte Carlo results and show the wellknown enhancement at large momentum values with respect to the independentparticle model. Diagonalization of the density matrix provides the naturalorbits and their occupation numbers. Correlations deplete the occupation numberof the first natural orbitals by more than 10%. The first following ones resultinstead occupied by a few percent. Jastrow correlations lower the spectroscopicfactors of the valence states by a few percent (~1-3%) and an additional ~8-12%depletion is provided by tensor correlations. It is confirmed that short rangecorrelations do not explain the spectroscopic factors extracted from (e,e'p)experiments. 2h-1p perturbative corrections in the correlated basis areexpected to provide most of the remaining strength, as in nuclear matter

physical review. c. nuclear physics/physical review. c, nuclear physics

One-body density matrix, natural orbits, and quasihole states in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>16</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>40</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Ca</mml:mi></mml:…

One-body density matrix, natural orbits, and quasihole states in16Oand40Ca