Predictions for matter radii of light neutron rich isotopes using Glauber model

Working within the framework of Glauber model, we have analyzed the interaction cross sections (σ₁) of light neutron rich isotopes (He-Mg) from ¹²C at 800 MeV and 1.0 GeV per nucleon. The densities of the colliding nuclei are obtained using the Slater determinants consisting of the harmonic oscillator single particle wave functions (SDHO). The parameters of the basic input of the Glauber amplitude, the nucleon-nucleon (NN) scattering amplitude, are fixed from the analysis of (σ₁) for a stable (N=Z) nucleus, involving phase variation, higher momentum transfer components, and medium modifications (Pauli-blocking) of the NN amplitude. The results clearly demonstrate that the use of SDHO densities along with the in-medium corrected NN amplitude are able to provide satisfactory explanation of the experimental data, and the predicted matter rms radii of the neutron rich isotopes are comparable to those obtained earlier using the relativistic-mean-field (RMF) approach. (author)