Analysis of theGe74(O18,O16)Ge76andGe76(O16,O18)Ge74reactions in

Abstract

An exact finite-range coupled-channel Born-approximation analysis of the $^{74}\mathrm{Ge}$($^{18}\mathrm{O}$, $^{16}\mathrm{O}$)$^{76}\mathrm{Ge}$ and $^{76}\mathrm{Ge}$($^{16}\mathrm{O}$, $^{18}\mathrm{O}$)$^{74}\mathrm{Ge}$ reactions has been performed. It shows that the shape change between the angular distributions of different final states is well reproduced by using BCS---random-phase-approximation wave functions to describe the Ge states. The measured transfer cross sections are rather well described by calculations using optical model parameters and deformation values which fit the experimental data on $^{18}\mathrm{O}$ and $^{16}\mathrm{O}$ elastic and inelastic scattering. It has been found that the excitation of the $^{18}\mathrm{O}^{*}$ ${2}^{+}$ state has to be included in the coupled-channel Born-approximation analysis in order to reproduce the experimental angular distributions of the $^{74}\mathrm{Ge}$ and $^{76}\mathrm{Ge}$ ground states. A unique factor of 2.3 can be used to normalize the calculated cross section to the experimental data.[NUCLEAR REACTIONS $^{74}\mathrm{Ge}$($^{18}\mathrm{O}$, $^{16}\mathrm{O}$), ($^{18}\mathrm{O}$, $^{18}\mathrm{O}$); $^{76}\mathrm{Ge}$($^{16}\mathrm{O}$, $^{18}\mathrm{O}$), ($^{16}\mathrm{O}$, $^{16}\mathrm{O}$); deduced optical model parameters; CCBA analysis.]