Ground state correlations in16Oand40Ca

Abstract

We study the ground state properties of doubly closed shell nuclei 16 O and

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

“…In the calculations of Refs. [14,17,18], the radial part of the single particle wave function was independent on the isospin. This, joined to the fact that we studied doubly closed shell nuclei on ls coupling with the same number of protons and neutrons, allowed us to separate the spatial part from the spin and isospin dependent parts in ρ o 1 (x 1 , x ′ 1 ).…”

“…As an example of the differences between the present calculations and those of [18], we compare the expression of W 0 in ls coupling scheme and N = Z that is…”

“…(18). Also in this case, in analogy to what we have done in [16,17], we separate the term in three parts:…”

“…II we briefly discuss the basic ideas of the formalism pointing out the main differences with respect to what has been presented in [17] and [18]. The detailed presentation of the heavy formalism, which is given in [23], is beyond the scope of this article.…”

“…This was not a straightforward extension of the formalism because the non commutativity of the different operators requires the use of the Single Operator Chain (SOC) approximation in the FHNC resummation. The FHNC/SOC computational scheme has been extended to include spin-orbit and three-body interactions of Urbana and Argonne type [18]. In these last calculations protons and neutrons single particle wave functions were distinguished only by the third component of the isospin, and they were treated in the ls coupling scheme.…”