One-body density matrix and momentum distribution in s-p and s-d shell 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 $\beta$ 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, $n(\mathbf{k})$ for all nuclei we have considered while there is an A dependence of $n(\mathbf{k})$ both at small values of k and the high momentum component. The A dependence of the high momentum component of $n(\mathbf{k})$ 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.

15 pages, latex, 3 figures

References in corpus (3)

• Effects of state dependent correlations on nucleon density and momentum distributions
• Systematic study of the effect of short range correlations on the form factors and densities of s-p and s-d shell nuclei
• Correlation effects in single-particle overlap functions and one-nucleon removal reactions

Cited by in corpus (8)

• Application of information entropy to nuclei
• One Body Density Matrix, Natural Orbits and Quasi Hole States in 16O and 40Ca
• Bose-Einstein condensation of correlated atoms in a trap
• The Two-Body Momentum Distribution in Finite Nuclei
• Jastrow-type calculations of one-nucleon removal reactions on open $s$-$d$ shell nuclei
• Translationally invariant calculations of form factors, nucleon densities and momentum distributions for finite nuclei with short-range correlations included
• The Effect of the Short-Range Correlations on the Generalized Momentum Distribution in Finite Nuclei
• Natural orbitals representation and Fermi sea depletion in finite nuclei and nuclear matter