Available data on the polarization of the secondary proton (as a function of its momentum K) in the inelastic (p, p ′ ) reactions with the 9 Be, 12 C, and 40 Ca nuclei and differential cross section data (the momentum distributions) for the reactions at the initial proton energy 1 GeV and scattering angles Θ=21 • and Θ=24.5 • were analysed in a range of the high momenta K close to the momentum corresponding to the proton elastic scattering off the investigated nucleus. A structure in the polarization and momentum distribution data at the high momenum K, related probably to quasi-elastic scattering off a 8 Be-like nucleon cluster inside the nuclei, was observed.