Abstract

The elastic scattering of deuterons by deuterons is considered with the resonating group method. The existence of reaction channels is approximately taken into account by introducing into the resonating-group formulation a phenomenological imaginary potential. For the deuteron wave function, a flexible three-Gaussian function is used, with the parameters adjusted to minimize the expectation value of the deuteron Hamiltonian. This particular deuteron function yields a very satisfactory behaviour for the form factor and its use in the d + d calculation is shown to produce results very close to those which would be obtained if the deuteron eigenfunction were used. Comparison with experiment is made at 6.9, 12.65, 17.45 and 19.9 MeV. At all these energies, rather good agreement with the experimental differential and reaction cross-section data can be obtained. The imaginary potential is found to be energy dependent and contain a strong odd-even orbital-angular-momentum dependence. Without this odd-even dependence, it is shown that the diffraction minimum, observed experimentally at around 70°, cannot be reproduced.

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