The systematic behavior in the fragments of the calcium isotopes projectile fragmentation

We have calculated the cross sections of the fragments produced in the projectile fragmentation of the even ^36–52Ca isotopes using the statistical abrasion-ablation model. The isospin effect in the projectile fragmentation are studied by investigating the peak positions and the widths of the fragment isotopic cross section distributions. The peak positions of the fragments isotopic cross section distributions have good linear correlation to the Z of the fragments and the correlations are fitted using the linear function. The correlations between slopes b and the binding energies of the neutron (S_n) of the projectile nuclei, the differences between the binding energies of the neutron and proton(S_n-S_p) of the projectile nuclei and the neutron-skin thickness (δ_np) are studied. It is found that b and δ_np has a good linear correlation for the neutron-rich projectile nuclei. (author)