One-body density matrix and momentum distribution ins−pands−dshell nuclei

Abstract

Analytical expressions of the one-and two-body terms in the cluster expansion of the one-body density matrix and momentum distribution of the s-p and s-d shell nuclei with N = Z are derived. They depend on the harmonic oscillator parameter b and the parameter β which originates from the Jastrow correlation function. These parameters have been determined by least squares fit to the experimental charge form factors. The inclusion of short-range correlations increases the high momentum component of the momentum distribution, n(k) for all nuclei we have considered while there is an A dependence of n(k) both at small values of k and the high momentum component. The A dependence of the high momentum component of n(k) becomes quite small when the nuclei 24 Mg, 28 Si and 32 S are treated as 1d-2s shell nuclei having the occupation probability of the 2s-state as an extra free parameter in the fit to the form factors.PACS numbers: 21.45.+v, 21.60.Cs, 21.90.+f

Proton momentum distributions and elastic electron scattering form factors for some Ge isotopes

“…The weight function, which is connected with the local density ) (r  , was determined from experiment and from theory. The feature of the long-tail behavior of the (PMD) is obtained by both theoretical and experimental weight functions, which is in agreement with the other studies [2,3,26,27] and is related to the existence of high densities ) (r…”