Jastrow correlations

Universality of nucleon-nucleon short-range correlations: The factorization property of the nuclear wave function, the relative and center-of-mass momentum distributions, and the nuclear contacts

“…For nuclei with A > 12, VMC calculations of the momentum distribution are not yet feasible, therefore, also in light of future experimental developments, alternative approaches, even if of lower quality than VMC ones, but still maintaining a realistic link to the underlying NN interactions, should be pursued. A serious candidate in this respect would be an advanced linked cluster expansion approach with correlated wave functions, including a large class of Yvon-Mayer diagrams [12][13][14], for they have been shown to produce realistic results of one-nucleon momentum distributions [15][16][17] in reasonable agreement with the more advanced VMC calculations. All of these calculations, though being performed within different many-body approaches, produce similar results demonstrating a universal (A-independent) character of in-medium NN short-range dynamics, in that the mean-field (MF) approach breaks down when the relative distance r ≡ |r 1 − r 2 | between two generic nucleons "1" and "2" is of the order of r < ∼ 1.3 − 1.5 fm, with the two-nucleon density distribution exhibiting the so called correlation hole which, apart from trivial normalization factors, turns out to be independent on the mass A of the nucleus and similar to the deuteron one.…”

“…Purpose: calculation of the momentum distributions of proton-neutron and proton-proton pairs in 3 He, 4 He, 12 C, 16 O and 40 Ca, in correspondence of various values of k rel and Kc.m.. Methods: the momentum distributions for A > 4 nuclei are calculated as a function of the relative, k rel , and center of mass, Kc.m., momenta and relative angle Θ, within a linked cluster many-body expansion approach, based upon realistic local two-nucleon interaction of the Argonne family and variational wave functions featuring central, tensor and spin-isospin correlations.…”

On the Two-Body Momentum Distribution in Finite Nuclei

“…The correlated 2bMD, as given by Eq. (25), is plotted with continuous lines and the harmonic-oscillator result, Eq. (23), with dashed lines.…”

Evaluation of cluster expansions and correlated one-body properties of nuclei

“…This expansion contains one-and two-body terms and a part of the three-body term which was chosen so that the normalization of the wave function was preserved. In LOA the OBDM takes the form [13,14,17] …”