Multi-ℏω shell model analyses of elastic and inelastic proton scattering from ¹⁴N and ¹⁶O

Elastic and inelastic scattering data from the scattering of 160 MeV protons from ¹⁴N, and of 200 MeV protons from ¹⁶O have been analyzed using a fully microscopic distorted wave approximation. The analyses involve large space (multi-ℏω) shell model wave functions, an effective nucleon-nucleon interaction that is energy and medium dependent, and fully microscopic (nonlocal) optical potentials built with that same effective interaction. The results for ¹⁴N and ¹⁶O correlate with analyses of elastic and inelastic electron scattering form factors indicating that improvements are needed in the shell model interactions used to obtain the nuclear wave functions.