“…Therefore, the projected image on the detector will appear enlarged by a factor , with respect to that which would appear if there were no scattering x , that is, by a factor M with respect to the initial size x , where is defi ned as follows: (16) Starting from the above considerations, we can infer that the blurring coeffi cient must remain less than or of the same order on the resolution that we would like to obtain, x, in order to avoid a crossover between different single-proton trajectories and to prevent a consequent loss of the initial spatial target information carried on by protons. The above-mentioned condition can be written in terms of the blurring coeffi cient (i.e., is the resolution of our system in analogy with the Rayleigh criterion in optics) (17) 0 - x or in terms of the unit-less parameter ,…”