Inelastic deuteron scattering on ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ has been studied using a microscopic description for both target and projectile nuclei. From the fits of the calculated results to the experimental data, the effective two-body interaction strength has been extracted. The Wigner part of the interaction was obtained from the analysis of the 4.43-MeV ($2^{+}$) state excitation and the result is compared with those found previously. The spin-spin part of the interaction was examined by the analysis of the 12.71-MeV ($1^{+}$) state. In addition, the consistency of our results was also checked by analyzing inelastic ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ scattering. The real purpose of the present work was, however, to investigate such a treatment when applied to heavier projectile scattering. For this purpose, the inelastic ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ scattering leading to the 12.71-MeV ($1^{+}$) state was studied. Assuming the transition to be a spinflip process, an $\alpha$-spectator model based on the cluster description of ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ was used. Therefore, this analysis may be considered an extension of the ordinary microscopic treatment with the nucleon-nucleon interaction to the cluster description. The results of the effective interaction strengths are presented for various radial shapes of the nucleon-nucleon interaction. The effects of more complicated possible processes are also discussed.

NUCLEAR REACTIONS Microscopic calculations of differential cross sections: ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}(d, d^{\prime })$, $E=28\mathrm{} 52$ MeV; ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$(${}_{}{}^3{}_{}{}^{}\mathrm{He}$, ${}_{}{}^3{}_{}{}^{}\mathrm{He}$′), $E=49.8\mathrm{}$ MeV; ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$(${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$′), $E=36.4\mathrm{}$ MeV; $\alpha$-spectator model for (${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$′); deduced effective two-body interaction strengths.

• Received 27 September 1976

DOI:https://doi.org/10.1103/PhysRevC.15.1758