Overlap functions in correlation methods and quasifree nucleon knockout from ${}^{16}$O

Abstract

The cross sections of the ($e,e^{\prime }N$) and ($\gamma ,p$) reactions on ${}^{16}$O are calculated, for the transitions to the $1/2^{-}$ ground state and the first $3/2^{-}$ excited state of the residual nucleus, using single-particle overlap functions obtained on the basis of one-body density matrices within different correlation methods. The electron-induced one-nucleon knockout reaction is treated within a nonrelativistic DWIA framework. The theoretical treatment of the ($\gamma ,p$) reaction includes both contributions of the direct knockout mechanism and of meson-exchange currents. The results are sensitive to details of the different overlap functions. The consistent analysis of the reaction cross sections and the comparison with the experimental data make it possible to study the nucleon--nucleon correlation effects.

26 pages, LaTeX, 5 Postscript figures, submitted to PRC

References in corpus (5)

• Selectivity of the 16O(e,e'pp) reaction to discrete final states
• Center-of-mass effects on the quasi-hole spectroscopic factors in the 16O(e,e'p) reaction
• Correlations and the Cross Section of Exclusive ($e,e^{\prime }p$) Reactions for ${}^{16}$O
• Importance of the direct knockout mechanism in relativistic calculations for (gamma, p) reactions
• Correlation effects in single-particle overlap functions and one-nucleon removal reactions

Cited by in corpus (14)

• Extension of the Random Phase Approximation including the self-consistent coupling to two-phonon contributions
• Effects of nuclear correlations on the ${}^{16}$O$(e,e^{\prime }pN)$ reactions to discrete final states
• One Body Density Matrix, Natural Orbits and Quasi Hole States in 16O and 40Ca
• Relativistic corrections in (gamma,N) knockout reactions
• Quasifree (e,e'p) reactions on nuclei with neutron excess
• Meson exchange currents in a relativistic model for electromagnetic one nucleon emission
• Effects of Short-Range Correlations in (e,e'p) reactions and nuclear overlap functions
• Meson exchange currents in electromagnetic one-nucleon emission
• Meson Exchange Currents in (e,e'p) recoil polarization observables
• Short-range correlations and meson exchange currents in photonucleon emission
• Generator coordinate method calculations of one-nucleon removal reactions on ${}^{40}$Ca
• Short-range correlations in semi-exclusive electron scattering experiments
• 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
• Jastrow-type calculations of one-nucleon removal reactions on open $s$-$d$ shell nuclei