Abstract
The pre - equilibrium and equilibrium double differential crosssections are calculated at different energies using Kalbach Systematicapproach in terms of Exciton model with Feshbach, Kerman andKoonin (FKK) statistical theory. The angular distribution of nucleonsand light nuclei on 27Al target nuclei, at emission energy in the centerof mass system, are considered, using the Multistep Compound(MSC) and Multistep Direct (MSD) reactions. The two-componentexciton model with different corrections have been implemented incalculating the particle-hole state density towards calculating thetransition rates of the possible reactions and follow up the calculationthe differential cross-sections, that include MSC and MSD models.The finite well depth, isospin, shell effects, Pauli effect, chargeeffect, pairing, surface, angular and linear momentum distributionscorrections are considered in this work. The nucleons (n and p) andlight nuclei (2D and 3T) have been employed as projectiles at thetarget 27Al nuclei and at different incident energies (4MeV, 14 MeVand 14.8MeV). The results have been compared with the availableexperimental and theoretical published work. The comparisons showan acceptable agreement with the TALAYS code (Tendel 2014) forthe 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 energiesand angles.
Highlights
Study the mechanism of nuclear reactions is an important task for different areas in nuclear science and engineering, where the measurements of energy spectra and a double differential cross sections of the nucleons (n and p) and light nuclei (2D and 3T) are of great importance that required for the development of fusion reactor materials and ion separation techniques
As calculated values of the BE for each reaction and nuclei target that used in calculating the cross- section for various reaction mechanisms: direct nucleon transfer cross section, knockout or inelastic cross section involving complex particles plus any collective and elastic cross section, primary exciton model pre-equilibrium cross section, secondary preequilibrium cross section, primary equilibrium cross section, secondary equilibrium cross section and the total emission spectra
The present work focused on a semi classical statistical model with statistical Fashbach, FKK for pre-equilibrium and equilibrium emission calculations
Summary
Study the mechanism of nuclear reactions is an important task for different areas in nuclear science and engineering, where the measurements of energy spectra and a double differential cross sections of the nucleons (n and p) and light nuclei (2D and 3T) are of great importance that required for the development of fusion reactor materials and ion separation techniques. Theoretical model In this work the pre-equilibrium and equilibrium spectra in terms of Exciton model are calculated and evaluated These calculations could provide data along the cluster emission preformation probabilities in compound nucleus, when the nuclear reaction mechanism comprises the bridge between fast, direct processes, and accounts for the high-energy tails in emission spectra, and the smooth forward-peaked angular distributions [12,13,14]. The angular distribution has been developed in a series of works [23,25,26] here apply to particles emitted during direct nucleon transfer reactions, during inelastic scattering and knockout reactions involving cluster degrees of freedom, during preequilibrium emission (both primary and secondary), and during preequilibrium emission (both primary and secondary). Is the emission spectra equilibrium or symmetric component includes only the primary and secondary evaporation cross sections
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