The scattering of light ions ($n$, $d$, ${}_{}{}^3{}_{}{}^{}\mathrm{He}$, and $\alpha$) by ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ is considered with the single-channel resonating-group method. The cluster internal functions used are translationally invariant shell-model functions of the lowest configurations in harmonic-oscillator wells having different width parameters. The result shows that the essential features of the cross-section angular distributions in all these systems can be reasonably well explained. The use of different width parameters is found to be necessary in the low-energy region where sharp resonance levels exist, but is not essential at higher energies greater than about 10 MeV/nucleon. Effects of nucleon exchanges have also been carefully examined. Here one finds that, even in the present case where a non-closed-shell nucleus is involved, the importance of the core-exchange terms still depends predominantly on the nucleon-number difference of the interacting nuclei. In addition, this investigation shows that the phenomenon of blocking has also a profound influence; it gives rise to a channel-spin dependence for the odd-even phase-shift behavior and may cause a substantial reduction in the effects of core-exchange contributions.

NUCLEAR REACTIONS ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$($n$,$n$), ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$($d$,$d$), ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$(${}_{}{}^3{}_{}{}^{}\mathrm{He}$, ${}_{}{}^3{}_{}{}^{}\mathrm{He}$), ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$($\alpha$,$\alpha$); calculated phase shifts and $\sigma \left(\theta \right)$. Resonating-group method and effects of antisymmetrization.

• Received 11 January 1982

DOI:https://doi.org/10.1103/PhysRevC.25.2902