Interaction cross sections for neon isotopes in the Glauber model and the halo structure ofNe31

Abstract

In this work we calculate the interaction cross sections of neon isotopes (${}^{17--32}$Ne) on ${}^{12}\mathrm{C}$ at 240 and 950 MeV/nucleon within the framework of the Coulomb-modified correlation expansion for the Glauber model $S$ matrix. The calculations involve (i) up to the two-body density term in the correlation expansion, (ii) the relativistic mean-field (RMF) densities for the colliding nuclei, and (iii) the single Gaussian approximation for the nucleon-nucleon (NN) amplitude. To test the halo structure, the extended neutron density distribution for $^{31}\mathrm{Ne}$ is also used. Our results, using RMF densities, are in close agreement with the available experimental data at 240 MeV/nucleon except for $^{31}\mathrm{Ne}$, for which the extended neutron density distribution is found to play an important role in explaining the data, thereby supporting a halo structure in $^{31}\mathrm{Ne}$. The corresponding results at 950 MeV/nucleon are, however, not as satisfactory as those obtained at 240 MeV/nucleon. The results also demonstrate the importance of the two-body density term in the present calculations.