Abstract

An implementation of the calculation for the two-step cross sections of the theory of Nishioka, Weidenm\uller, and Yoshida is described. Cross sections that excite a $2p\ensuremath{-}2h$ state are expressed in a J scheme, and a Yukawa interaction is assumed for the particle-hole pair creation. The Green's function, which connects the one-step matrix element to the two-step one, is represented in r space. An interference effect among the amplitudes for the different intermediate states is examined by means of a spectroscopic amplitude. A strong interference appears for a certain configuration, and this is interpreted by a boson approximation. Microscopically calculated two-step cross sections for ${}^{208}\mathrm{Pb}{(p,p}^{\ensuremath{'}})$ reactions are averaged together with the true level density, which is based on the random matrix theory, to give a two-step cross section to the continuum energy region.

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