High-energy reaction cross sections of light nuclei.

Here Rt(p) and Rl(t) are the projectile and the target radius, respectively. These authors found that the radii of "Li, ' Be, and ' Be were much larger than expected from the standard formula R = l.2 2 ' fm, where A is the mass number. They also checked Eq. (l) with Cilauber calculations using phenomenological densities. Theoretical densities from Hartree-Fock theory were applied to Glauber model calculations by Sato and Okuhara. Their calculated results show reasonable agreements with experimental data on He, Li, and the lighter Be isotopes. The cross section of "Li is underpredicted, which has led to suggestions that effects beyond Hartree-Fock theory cause the larger cross sections for neutron-rich nuclei. For example, recently Hansen and Jonson revived the dineutron model of Migdal, assuming that a dineutron orbits around a Li core. They also investigated the possibility of Coulomb excitation contributing to the reaction cross section. However, this is surely negligible under the conditions of the experiment. According to Ref. 6, the Coulomb excitation of the giant dipole resonance in a light nucleus by heavy target is about 40 mb. One gains a factor of the logarithm of the relative excitation energies when exciting a lowlying state, but this is more than offset by the dependence on the target charge which is quadratic. Coulomb excitation by a carbon target should be completely negligible. However, it could be tested by varying the target Z. In this paper we will present a refined calculation of the cross sections extending to the extreme neutron-rich Be isotopes. The two ingredients of the study are the reaction cross section model and the densities. We use a We further assume that all the tubes contribute independently to the absorption of the projectile. Then the total transmission probability can be expressed as the product