Correlations and the Cross Section of Exclusive ($e,e^{\prime }p$) Reactions for ${}^{16}$O

Abstract

The reduced cross section for exclusive ($e,e^{\prime }p$) reactions has been studied in DWIA for the example of the nucleus ${}^{16}$O using a spectral function containing effects of correlations. The spectral function is evaluated directly for the finite nucleus starting from a realistic nucleon-nucleon interaction within the framework of the Green's function approach. The emphasis is focused on the correlations induced by excitation modes at low energies described within a model-space of shell-model configurations including states up to the $sdg$ shell. Cross sections for the $p$-wave quasi-hole transitions at low missing energies are presented and compared with the most recent experimental data. In the case of the so-called perpendicular kinematics the reduced cross section derived in DWIA shows an enhancement at high missing momenta as compared to the PWIA result. Furthermore the cross sections for the $s$- and $d$-wave quasi-hole transitions are presented and compared to available data at low missing momenta. Also in these cases, which cannot be described in a model without correlations, a good agreement with the experiment is obtained.

12 pages, LaTeX, 4 figures included

Cited by in corpus (11)

• Two-Body Correlations in Nuclear Systems
• Neutrino energy reconstruction from semi-inclusive samples
• One Body Density Matrix, Natural Orbits and Quasi Hole States in 16O and 40Ca
• Ground state of finite nuclei evaluated from realistic interactions
• Overlap functions in correlation methods and quasifree nucleon knockout from ${}^{16}$O
• Meson exchange currents in electromagnetic one-nucleon emission
• Short-range correlations in semi-exclusive electron scattering experiments
• Nucleon-Nucleon Correlations and Two-Nucleon Currents in Exclusive ($e,e^{\prime }NN$) Reactions
• Extracting the spectral function of He-4 from a relativistic plane-wave treatment
• Neutrino-Nucleus scattering in the SuSA model
• Matrix-product state approach to the generalized nuclear pairing Hamiltonian