Abstract

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 $d+\ensuremath{\alpha}$ 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 $l=7$, 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.

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