Matter density distributions of halo 9C and 12N nuclei

Using the two-body model of [Core + p] within Gaussian (GS) and Woods Saxon (WS) wave functions, the ground state properties of exotic 9C and 12N nuclei are examined. These properties include the neutron, proton, and matter densities, related root mean square (rms) radii, and elastic form factors. Proton and matter densities calculated for these nuclei show a long tail. These exotic nuclei’s elastic form factors are determined using the plane wave Born approximation (PWBA). There is a significant difference between the elastic form factors of these exotic nuclei and their stable isotopes 13C and 14N because the extra neutrons in 9C and 12N cause variations in the proton density distributions. The Kox and Glauber models are used to examine the reaction cross-sections for these nuclei. Furthermore, the matter rms radii of these exotic nuclei are determined using the Glauber model. For the chosen exotic nuclei, the calculated results and the experimental data agree well.