Book Description

The first complete ab initio leading-order effective interactions for protons or neutrons on light spin-0 nuclei are presented. The technological advances leading to this result are described in detail starting with the nonlocal momentum distributions created from No Core Shell Model (NCSM) reduced matrix elements. The effective potential is calculated using the leading-order of the multiple scattering approach with the NN amplitudes expressed in terms of Wolfenstein amplitudes. In order for the effective interaction to be ab initio, the complete NN interaction enters both the reaction as well as the structure calculation on equal footing. Elastic scattering amplitudes for this work are mostly limited 100 to 200 MeV projectile kinetic energy to be consistent with a leading-order calculation. This work for the first time takes into account the spin of the struck target nucleon in a realistic calculation. Elastic scattering observables for closed-shell nuclei 4He and 16O are given along with a comparison to previous assumptions that neglect the spin of the struck nucleon. The same observables for open-shell nuclei 12C, 6He, and 8He are presented with the same comparison. It is found that the difference between a complete ab initio calculation and one that neglects the spin of the struck nucleon is small for nuclei that have equal numbers of protons and neutrons. For nuclei with N , Z, the effect of the spin from the struck nucleon is energy dependent and significant at lower energies. The quality of the first leading-order ab initio effective interaction calculation to predict scattering observables is found to be good for the studied range of energies and nuclei and for the NN interaction chosen for this work.