Jastrow-type calculations of one-nucleon removal reactions on open $s$-$d$ shell nuclei

Abstract

Single-particle overlap functions and spectroscopic factors are calculated on the basis of Jastrow-type one-body density matrices of open-shell nuclei constructed by using a factor cluster expansion. The calculations use the relationship between the overlap functions corresponding to bound states of the $(A-1)$-particle system and the one-body density matrix for the ground state of the $A$-particle system. In this work we extend our previous analyses of reactions on closed-shell nuclei by using the resulting overlap functions for the description of the cross sections of $(p,d)$ reactions on the open $s$-$d$ shell nuclei ${}^{24}$Mg, ${}^{28}$Si and ${}^{32}$S and of ${}^{32}$S$(e,e^{\prime }p)$ reaction. The relative role of both shell structure and short-range correlations incorporated in the correlation approach on the spectroscopic factors and the reaction cross sections is pointed out.

arXiv comment11 pages, 5 figures, to be published in Phys. Rev. C

References in corpus (13)

• Model calculations of doubly closed shell nuclei in CBF theory III. j-j coupling and isospin dependence
• One Body Density Matrix, Natural Orbits and Quasi Hole States in 16O and 40Ca
• Systematic study of the effect of short range correlations on the form factors and densities of s-p and s-d shell nuclei
• Evaluation of cluster expansions and correlated one-body properties of nuclei
• One-body density matrix and momentum distribution in s-p and s-d shell nuclei
• Overlap functions in correlation methods and quasifree nucleon knockout from ${}^{16}$O
• A realistic study of the nuclear transparency and the distorted momentum distributions in the semi-inclusive process 4He(e,e'p)X
• Effects of Short-Range Correlations in (e,e'p) reactions and nuclear overlap functions
• Restoration of Overlap Functions and Spectroscopic Factors in Nuclei
• Correlation effects in single-particle overlap functions and one-nucleon removal reactions
• Generator coordinate method calculations of one-nucleon removal reactions on ${}^{40}$Ca
• The hole spectral function and the relationship between overlap functions, natural orbitals and the one-body density matrix in nuclei
• Generator Coordinate Method Calculations for Ground and First Excited Collective States in ${}^4$He, ${}^{16}$O and ${}^{40}$Ca Nuclei

Cited by in corpus (2)

• Recent developments for the optical model of nuclei
• Two-proton overlap functions in the Jastrow correlation method and cross section of the ${}^{16}$O$(e,e^{\prime }pp{)}^{14}$C${}_{g.s.}$ reaction