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ELASTIC SCATTERING OF 3He ON 6Li, 9Be, 24Mg and 56Fe USING B3Y-FETAL NUCLEON-NUCLEON EFFECTIVE INTERACTION BASED ON THE OPTICAL POTENTIAL FORMALISM

📅 2026 📚 Volume 17

Authors

• Dalhatu, M.
• ,,Department of Physics BUK
• Adamu, I.D.,idadamu.phy@buk.edu.ng,Department of Physics BUK
• Koki, F.S.,fskoki.phy@buk.edu.ng,Department of Physics BUK
•

Abstract

Despite substantial researches in the elastic scattering reaction involving light-ion nuclei as a projectile, the use of Phenomenological potentials as the component of the optical potential in order to reproduce and investigate nuclear structure and reaction dynamics of the experimental data of 3He nucleus poses considerable challenges. Although the phenomenological potential reproduces experimental data to some extent, however, it faces challenges of parameter ambiguity. This ambiguity emanates from the simultaneous adjustment of multiple parameters such as potential depth, diffuseness and radius, such that fitting to experimental data leads to non-unique solutions with indistinguishable result. These limitations of the phenomenological potential have motivated researchers to search a more robust interaction model capable of reproducing and explaining experimental data, leading to the development and adoption of the microscopic potential which demonstrated a promising reliability in this regard. These motivates the microscopic use of the double folding potential for both the real and imaginary parts of the optical potential, enabling the description of the experimental elastic scattering data most appropriately by reducing the parameter ambiguity through the fixing of radial geometry, significant reduction of number of parameters to the use of only renormalization factors and the potential are directly derived from the nucleon-nucleon interaction. This work uses a full folding approach of the optical potential to analyze the elastic scattering of 3He on 6Li, 9Be, 24Mg and 56Fe nuclei using the DDB3Y nucleon-nucleon effective interaction to obtained the strength of the folded potentials, the reaction cross-section and the total cross-section. The reaction and total cross-section which measures the probability of all non-elastic channel and the overall interaction probability between target and projectile nuclei were obtained for the elastic scattering reaction of 3He on 6Li, 9Be, 24Mg and 56Fe were calculated to be mb, =948.35 mb, =1532.07 mb regions; the forward angle ( , = =709.61 mb and respectively. The cross-sections are analyzed in three 30o), the intermediate angle (30o and the backward angle ( . At forward angle the scattering is dominated by long range is coulomb interaction and a weak nuclear effect for all the interactions, at the intermediate angle, oscillatory structure is observed which are due to interference between coulomb and nuclear scattering, the oscillations emanated from partial wave interference and Fraunhofer diffraction. At the backward angle, the scattering is dominated by absorption effects, compound nucleus effects. The real potentials were observed to be predominantly attractive at short distances, and as the distance increase the potential was observed to be less attractive which shows that the nuclear force is short-ranged. It was observed that, there is a weak absorption for light nuclei 6Li 9Be and a moderate absorption for medium nuclei and also a strong absorption for heavier nuclei such as 56Fe primarily due to the increasing depth of the imaginary potential associated with higher nuclear density and other reaction channels available. The systematics of the cross-sections have demonstrated the efficacy of DDB3Y interaction based on the optical model approach in describing and providing explanation of the 3He nucleus scattered from a light, medium and heavy nuclei where the strength of the increases with increase in target mass. The work serves as a tool in providing an alternative way of reducing the parameter ambiguity and a stepstone for future theoretical researches.

Keywords

Optical potential microscopic potential phenomenological potential DDB3Y effective interaction