Systematic study of the effect of short range correlations on the form factors and densities of s-p and s-d shell nuclei

Abstract

Analytical expressions of the one- and two-body terms in the cluster expansion of the charge form factors and densities 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 expressions are used for the systematic study of the effect of short range correlations on the form factors and densities and of the mass dependence of the parameters b and $\beta$. These parameters have been determined by fit to the experimental charge form factors. The inclusion of the correlations reproduces the experimental charge form factors at the high momentum transfers ($q\ge 21/fm$). It is found that while the parameter $\beta$ is almost constant for the closed shell nuclei, ${}^4$He, ${}^{16}$O and ${}^{40}$Ca, its values are larger (less correlated systems) for the open shell nuclei, indicating a shell effect in the closed shell nuclei.

Latex, 21 pages, 6 figures, 1 table

References in corpus (2)

• Model calculations of doubly closed shell nuclei in CBF theory III. j-j coupling and isospin dependence
• Effects of state dependent correlations on nucleon density and momentum distributions

Cited by in corpus (11)

• Numerical Relativity: A review
• Application of information entropy to nuclei
• Calculations of ${}^8$He+p Elastic Cross Sections Using Microscopic Optical Potential
• One-body density matrix and momentum distribution in s-p and s-d shell nuclei
• Evaluation of cluster expansions and correlated one-body properties of nuclei
• The Two-Body Momentum Distribution in Finite Nuclei
• Bose-Einstein condensation of correlated atoms in a trap
• 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