Nuclear reaction studies of unstable nuclei using relativistic mean field formalisms in conjunction with the Glauber model

Abstract

We study nuclear reaction cross-sections for stable and unstable projectiles and targets within Glauber model, using densities obtained from various relativistic mean field formalisms. The calculated cross-sections are compared with the experimental data in some specific cases. We also evaluate the differential scattering crosssections at several incident energies, and observe that the results found from various densities are similar at smaller scattering angles, whereas a systematic deviation is noticed at large angles. In general, these results agree fairly well with the experimental data.

Nuclear reaction cross sections of exotic nuclei in the Glauber model for relativistic mean field densities

“…Hence, due to this simplification, we compromise a few MeV of binding energy in calculated values with experimental data, which does not affect the nuclear reaction cross sections, as reported in Ref. [26].…”

“…In some of our earlier work [26], it was shown that the Glauber model works remarkably well for RMF and E-RMF nuclear densities. The model reproduces experimental observables quite well for both the stable and unstable nuclei taken as targets and projectiles.…”

“…In this paper, we extend the work of Ref. [26] to calculate the total nuclear reaction cross sections, using light mass isotopes as projectiles and heavy nuclei as targets. For heavier nuclei, we also use the neutron-rich thermally fissile nuclei (neutron-rich U and Th isotopes) which, as already stated in Sec.…”

“…1 and 2. In some of our earlier works [26], it was demonstrated that the total reaction cross section does not depend much on the deformation of reacting nuclei; therefore, in our present calculations, we proceed with spherical densities, i.e., without taking the deformation into account. For the choice of parameter set, although there exist a number of parameter sets for solving the standard RMF as well as E-RMF Lagrangians, we have employed here the most successful NL3 set for the former and G2 for the latter formalism.…”

Reaction dynamics of halo nuclei using Glauber model

“…The density distribution of 30 Ne shows a small depression at the center indicating the structure of a bubble nucleus. Similar to our earlier calculations [15], the computer code can not use the density directly. So, we convert the densities into Gaussian form and calculate the Gaussian coef¿cients c i and a i using the relation:…”