Abstract

A simple analytic expression is proposed for nucleon densities whichincorporates correctly two basic physical requirements:itemthe asymptotic behaviour (r→∞);itemthe behaviour near the centre (r→0).The expression provides separately the neutron and proton densities and issuitable for the description of the loosely bound systems such as thenuclei in the neutron-halo region. Glauber-type calculations for reactioncross sections, using these densities have been carried out for Liisotopes and the results are found to be consistent with the experimentalvalues. The proposed density also provides a simple physical insight intothe density in the outer region. These model densities are expected to beuseful in several analytical studies such as the calculation of thetransparency function for heavy-ion systems involving neutronrich/loosely bound nuclei.

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