The $n$+${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ and $p$+${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ systems are studied with the single-channel resonating-group method. The ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ internal wave function used is either a single translationally-invariant harmonic-oscillator shell-model function or a superposition of two such functions. The result shows that the main features of this system do not depend sensitively on which of these functions is employed, although significant differences in cross-section values do appear at backward angles. The fit to experimental data is only fair, indicating that the present calculation should be refined by including the $N$+${}_{}{}^6{}_{}{}^{}\mathrm{Li}$*($3^{+}$) inelastic channel, by taking into better account $d+\alpha$ clustering in ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, by carefully considering the effect of specific distortion, and by, perhaps, also adopting a noncentral nucleon-nucleon potential in the formulation.

NUCLEAR REACTIONS ${}_{}{}^6{}_{}{}^{}\mathrm{Li}(p, p)$, ${}_{}{}^6{}_{}{}^{}\mathrm{Li}(n, n)$; calculated phase shifts and $\sigma \left(\theta \right)$. Resonating-group method with complex-generator-coordinate technique.

• Received 22 July 1982

DOI:https://doi.org/10.1103/PhysRevC.26.2410