STUDY OF ALPHA+D AND ALPHA+D' SYSTEMS WITH RESONATING-GROUP METHOD

The resonating-group method with a one-channel approximation is used to examine the α+d elastic scattering and bound-state problems. The nucleon-nucleon potential employed is the same as that used in previous resonating-group calculations and fits the low-energy scattering data satisfactorily. The deuteron wave function, which is given by a sum of two Gaussian functions, yields nearly correct values for the binding energy and the rms radius. For the bound and resonant states in Li6, it is shown that a careful consideration of the distortion effect on the deuteron cluster is essential. The calculated excitation energy of the D3 level is 4.6 MeV, which is rather close to the value of 3.8 MeV obtained by averaging the excitation energies of the experimentally found D33, D23, and D13 levels. Phase shifts are calculated in the energy region of 0-20 MeV and, in general, they agree quite well with those determined phenomenologically. In particular, the result shows that in the excitation region below 10 MeV, the P-wave phase shifts are small and show no resonance behavior. The T=1 levels in the isobaric triad He6, Li6, and Be6, which have predominantly a structure of an α cluster plus a two-nucleon cluster in a S01 configuration (d* cluster), have also been studied. Here it is found that with a two-Gaussian function for the d* cluster, the calculated energy spacings between the S1 and the D1 levels are too large by about 1 MeV. © 1969 The American Physical Society.