  Previous studies have revealed the importance of introducing surface
correction into a phenomenological model for inclusive (n, n'x) and (p, p'x)
reactions. These findings have contributed significantly to the improvement of
nuclear data evaluation. However, the necessity for the surface correction in
an inclusive (d, d'x) reaction has hardly been investigated. The purpose of
this study is to investigate the difference in the peripherality of the (p,
p'x) and (d, d'x) reactions by a theoretical analysis using a quantum
mechanical model, and to obtain a theoretical basis on the surface correction
in the (d, d'x) reaction. The energy spectra and their radial distributions for
the (p, p'x) and (d, d'x) reactions are calculated by the one-step
semiclassical distorted wave model. The radial distribution of the energy
spectra for the (d, d'x) reaction is shifted toward the outer region of the
nucleus compared to the (p, p'x) reaction. Based on this finding, we consider a
larger surface correction into a phenomenological model for the (d, d'x)
reaction than that for the (p, p'x) reaction, and calculated values reproduce
the experimental (d, d'x) spectra well. The peripherality of the (d, d'x)
reaction is more prominent than that of the (p, p'x) reaction. The stronger
surface correction thus should be introduced for the (d, d'x) reaction than for
the (p, p'x) reaction.
