The pre-equilibrium and equilibrium double differential cross sections for the nucleons and light nuclei induce nuclear reactions on 27Al nuclei

Abstract

The pre - equilibrium and equilibrium double differential cross sections are calculated at different energies using Kalbach Systematic approach in terms of Exciton model with Feshbach, Kerman and Koonin (FKK) statistical theory. The angular distribution of nucleons and light nuclei on 27Al target nuclei, at emission energy in the center of mass system, are considered, using the Multistep Compound (MSC) and Multistep Direct (MSD) reactions. The two-component exciton model with different corrections have been implemented in calculating the particle-hole state density towards calculating the transition rates of the possible reactions and follow up the calculation the differential cross-sections, that include MSC and MSD models. The finite well depth, isospin, shell effects, Pauli effect, charge effect, pairing, surface, angular and linear momentum distributions corrections are considered in this work. The nucleons (n and p) and light nuclei (2D and 3T) have been employed as projectiles at the target 27Al nuclei and at different incident energies (4MeV, 14 MeV and 14.8MeV). The results have been compared with the available experimental and theoretical published work. The comparisons show an acceptable agreement with the TALAYS code (Tendel 2014) for the reactions: 27Al (n, n) 27Al, 27Al (p, n) 63Zn, 27Al (p, D) 62Cu, 27Al (p, p) 63Cu and 27Al (p, 4He)60Ni and at different emission energies and angles.

Keywords

• Double differential cross sections, pre - equilibrium and equilibrium reactions, FKK model, Exciton model, Kalbach Systematic approach.