Study ofd+H3andd+He3Systems with the Resonating-Group Method

The one-channel resonating-group method, together with a phenomenological imaginary potential, is used to study the $d+{}_{}{}^3{}_{}{}^{}\mathrm{H}$ and $d+{}_{}{}^3{}_{}{}^{}\mathrm{He}$ systems. Our calculations show that, because of the Pauli exclusion principle, these systems possess the following rather interesting feature: In the $s=\frac{3}{2}$ state they behave similar to the $d+\alpha$ system, whereas in the $s=\frac{1}{2}$ state they behave more like the ${}_{}{}^3{}_{}{}^{}\mathrm{He}$+${}_{}{}^4{}_{}{}^{}\mathrm{He}$ system. Phase shifts are computed up to $l=7\mathrm{}$, and an $\mathbf{R}$-matrix analysis of these phases indicates that there are a large number of levels with resonance energies below 12 MeV. Differential scattering and total-reaction cross sections are compared with experimental data at several c.m. energies from about 2 to 14 MeV. This comparison shows that the introduction of an odd-even orbital-angular-momentum dependence into the imaginary potential can improve the agreement of the calculation with experiment.