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Realistic NN interactions and many-body approaches have been used tocalculate ground-state properties of nuclei with A=3, 4, 12, 16, 40, withparticular emphasis on various kinds of momentum distributions. It is shownthat at proper values of the relative (rel) and center-of-mass (c.m.) momenta,the two-nucleon momentum distribution n_A^{N_1N_2} (k_{rel}, K_{c.m.}, \theta)exhibits the property of factorization, namely n_A^{N_1N_2} (k_{rel}, K_{c.m.},\theta) \simeq n_{rel}(k_{rel}) n_(c.m.)( K{c.m.}). The factorization of themomentum distributions , bearing a universal character, results from a generalproperty of realistic nuclear wave functions, namely their factorization atshort inter-nucleon separations. The factorization of the two-nucleon momentumdistribution allows one to develop the correlated part of the nucleon spectralfunction P(k,E) in terms of a convolution integral involving the product of themany-body, parameter-free relative and c.m. momentum distributions of a givennucleus. It is shown that: (i) the obtained spectral function perfectlysatisfies the momentum sum rule, i.e. when it is integrated over the removalenergy E, it fully reproduces the momentum distributions obtained fromrealistic many-body wave functions , (ii) in order to saturate the momentum sumrule at high values of the momentum (k \simeq 5 fm^{-1}) the spectral functionhas to be integrate up to E \simeq 400 MeV. To sum up a realistic,parameter-free many-body Spectral function has been developed such that : i) aphenomenological convolution spectral function developed in the past is fullyjustified from a many-body point of view , and (ii) the model dependence whichmight be present in calculations of inclusive electroweak processes could bereduced by the use of the convolution spectral function developed here.

Universality of many-body two-nucleon momentum distributions: the correlated nucleon spectral function of complex nuclei revisited