Study ofα+dandHe3+ tClustering inLi6with a Two-Mode, Finite-Range Analysis of theLi6(p,He3)He4Reaction

The ${}_{}{}^6{}_{}{}^{}\mathrm{Li}(p,{}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^4{}_{}{}^{}\mathrm{He}$ reaction was studied at incident proton energies of 12, 14, and 16 MeV. Detection of both the ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ and ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ particles in the lab defined angular distributions from about 10 to 170° c.m. The data taken as well as existing data at 8, 10, and 18.5 MeV were analyzed using a finite-range multi-interaction distorted-wave Born-approximation formalism to determine the importance of clustering in the ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ nucleus as well as the importance of various reaction mechanisms. Reduced widths of 0.69 for $\alpha +d$ in a relative $s$ state, 0.04 for $\alpha +d$ in a relative $d$ state, and 0.44 for ${}_{}{}^3{}_{}{}^{}\mathrm{He}+ t$ in a relative $s$ state provided fits to the data at 12, 14, 16, and 18.5 MeV.