Resonating-Group Calculation ofHe3-He3Scattering

Abstract

The ${\mathrm{He}}^3$-${\mathrm{He}}^3$ elastic scattering is considered in the c.m. energy range of 0-20 MeV using the resonating group method in the one-channel approximation. A two-body central potential of Gaussian form which fits the low-energy nucleon-nucleon scattering data as well as possible is used. The saturation character which is not contained in this potential is approximately taken into account by fixing the radii of the clusters according to experimental data. Phase shifts up to $l=6\mathrm{}$ are calculated, and a rather broad $l=3\mathrm{}$ resonant level in ${\mathrm{Be}}^6$ with an excitation energy of about 25 MeV is predicted. Angular distributions are calculated at ten energies. The agreement with experimental data in the range 1.5 to 6.0 MeV is excellent, while that with the data from 6.0 to 12.0 MeV is somewhat worse, but still satisfactory. An optical-model analysis is also performed at an energy of 12 MeV and a reaction cross section of about 450 mb is predicted. This indicates that, at higher energies, channels other than the ${\mathrm{He}}^3$-${\mathrm{He}}^3$ channel should be included in the resonating-group calculation to achieve a better agreement with experiment.