Effects of state dependent correlations on nucleon density and momentum distributions

Abstract

The proton momentum and density distributions of closed shell nuclei are calculated with a model treating short-range correlations up to first order in the cluster expansion. The validity of the model is verified by comparing the results obtained using purely scalar correlations with those produced by finite nuclei Fermi hypernetted chain calculations. State dependent correlations are used to calculate momentum and density distributions of 12 C, 16 O, 40 Ca, and 48 Ca, and the effects of their tensor components are studied.

Ground states of medium-heavy doubly-closed-shell nuclei in correlated-basis function theory

“…These findings are in agreement with the results of ref. [29] where a first-order cluster expansion has been used. It is evident the scarce relevance of short-range correlations in reducing the occupation probability of the 3s1/2 proton state in 208 Pb .…”

The effect of short-range correlations on the generalized momentum distribution in finite nuclei

“…This so-called low-order approximation (LOA) [34] has been exploited for the 1DM and 2DM by Bohigas and Stringari [35] and Dal Ri, Stringari and Bohigas [36] and has been used to study single-particle nuclear properties [35]- [39] as well as two-body nuclear properties [33,40,41]. Recently it has been extended for the case of realistic interactions and corresponding correlations and applied in the calculations of the ground-state energies, densities and momentum distributions of 16 O and 40 Ca [42,43]. In our application of LOA to the evaluation of GMD we have used central single-Gaussian correlation functions, f (r) = 1 − ce −r 2 /β 2 , and we have performed explicitly the calculation of GMD for 4 He.…”

Effects of short-range correlations in(e,e′p)reactions and nuclear overlap functions

“…In particular, the one obtained in [22] by a truncated cluster expansion of the radial multipoles ρ l (r, r ′ ) of the OBDM. Using the above density, spectroscopic factors corresponding to the p 1/2 and p 3/2 shells of 16 O were reported [21] to be identical in this model and equal to 0.981.…”

“…This allows us to determine optimum upper values of the coordinates in which one should know the OBDM in order to obtain convergence in the extraction procedure. We continue evaluating more realistic overlap functions starting from the correlated OBDM of [22], computed up to ∼ 100 fm, so that we can check the convergence of the results. In particular, we will be able to obtain precise values of the spectroscopic factors for quasi-hole states.…”

“…Note that, in the correlated model of [22], the underlying Slater determinant was built with Woods-Saxon single-particle wave functions including spinorbit splitting, so the model can deal with different overlap functions, with different energies, corresponding to the p 1/2 and 1p 3/2 shells in 16 O or d 3/2 and d 5/2 in 40 Ca.…”