The optical potential of 6He in the eikonal approximation
Abstract The new data of the elastic scattering of 6 He+ 12 C at about 40 MeV/nucleon are analyzed in the eikonal approximation. The 6 He+ 12 C phase-shift function is evaluated completely without any ad hoc assumption by a Monte Carlo integration, which makes it possible to use a realistic 6-nucleon wave function for a halo nucleus 6 He. The effect of the breakup of 6 He on the elastic differential cross sections as well as the optical potential is studied at different energies from 40 to 800 MeV/nucleon.
Reaction cross sections for collisions involving exotic light nuclei within the glauber approach
The reaction cross sections for the interaction of exotic nuclei 6He and 11Li with 12C nuclei are calculated for energies of about 0.8 GeV per nucleon. The cross sections calculated by the exact Glauber formula are compared with their counterparts found by using the formulas of the optical limit, the rigidtarget approximation, and the few-body approximation. The effect of the structure of the nuclei being considered on the calculated cross sections is examined. The root-mean-square radii of the 6He and 11Li nuclei are estimated on the basis of experimental data on the cross sections for the interaction of these exotic nuclei with 12C nuclei.
A CALCULATION OF THE TIN ISOTOPES USING REALISTIC NUCLEON-NUCLEON INTERACTIONS.
Abstract Shell-model matrix elements are calculated for Tabakin's two-nucleon interaction, which is a sum of separable potentials fitted to the nucleon-nucleon scattering data up to 320 MeV and designed to be used in Hartree-Fock calculations. It is shown that p-states make a substantial contribution to the pairing matrix elements, in some cases larger than the contribution of s-states. The matrix elements are compared with those calculated by Kuo using the Hamada-Johnston potential, and there is remarkable numerical agreement. A quasi-particle calculation is made with these matrix elements to study the low-lying states of the tin isotopes. The results are that, when only the usual five single-particle states are included, the odd-even mass difference is roughly half the experimental value; when more configuration mixing is included by allowing excitation of the core and permitting higher levels to be partially filled, satisfactory agreement is attained with the experimental odd-even mass difference, with the low-energy spectra of the odd isotopes and with changes in separation energies.