Nuclear densities of Li isotopes

A simple analytic expression is proposed for nucleon densities which incorporates correctly two basic physical requirements: • the asymptotic behaviour (r → ∞); • the behaviour near the centre (r → 0). The expression provides separately the neutron and proton densities and is suitable for the description of the loosely bound systems such as the nuclei in the neutron-halo region. Glauber-type calculations for reaction cross sections, using these densities have been carried out for Li isotopes and the results are found to be consistent with the experimental values. The proposed density also provides a simple physical insight into the density in the outer region. These model densities are expected to be useful in several analytical studies such as the calculation of the transparency function for heavy-ion systems involving neutron rich/loosely bound nuclei.