Multiple diffractive analysis of elastic and inelastic scattering by 1 GeV protons on 12C, 58Ni,and 208Pb

Recent elastic and inelastic scattering experiments of 1 GeV protons on ¹²C, ⁵⁸Ni, and ²⁰⁸Pb have been analyzed using multiple diffractive scattering theory.Elastic angular distributions have been calculated, including pair correlations in many-particle densities. There is evidence from the Ni and Pb data for the presence of correlations, but some evaluated correlation corrections do not produce detailed agreement.It is shown that the Glauber series for coherent inelastic scattering can be approximately summed to yield an eikonal form of the DWIA. In particular the smaller angle parts of the inelastic distributions are well described in this approximation.The expression for the summed incoherent inelastic cross section is considered as a sum rule. It is found that for ¹²C the excitation of the three lowest excited states exhaust ? 25 % of the sum rule up to ?t ? 1 fm^?2. For larger t quasi-elastic knock-out largely exhausts the sum rule.