Difference in peripherality of the inclusive ( p,p′x ) and ( d,d′x ) reactions and its implications for a …

Background: 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.Purpose: 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.Methods: 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.Results: 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.Conclusion: 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.