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Difference in peripherality of the inclusive $$(p, p'x)$$ and $$(d, d'x)$$ reactions and its implications for a phenomenological reaction model

Nakada, Hibiki* ; Nakayama, Shinsuke  ; Yoshida, Kazuki   ; Watanabe, Yukinobu*; Ogata, Kazuyuki*

Previous studies have revealed the importance of introducing surface correction into a phenomenological model for inclusive $$(n, n'x)$$ and $$(p, p'x)$$ reactions, and 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 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.

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Category:Physics, Nuclear

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