2025/05/15 by Ayushi Awasthi, Awasthi, Ayushi, Arushi Sharma +6 · 1 citation
Chemistry · Earth and Planetary Sciences · Physics and Astronomy · #Advanced NMR Techniques and Applications #FOS: Physical sciences #High-pressure geophysics and materials #Nuclear Theory (nucl-th) #Superconductivity in MgB2 and Alloys
paper · pdf · doi:10.48550/arxiv.2505.10031
openalex publication_date 2025/05/15 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/30
Elastic scattering between α-particles and 12C nuclei plays a crucial role in understanding resonance phenomena in light nuclear systems. In this work, we construct inverse potentials for resonant states in α-12C elastic scattering using the variable phase approach, in tandem with a genetic algorithm based optimization technique. The reference function for the potential in the phase equation is chosen as a combination of three smoothly joined Morse-type functions. The parameters of the reference function are genetically evolved to minimize the the mean squared error (MSE) between the numerically obtained scattering phase shifts and the expected values. The resulting inverse potentials accurately reproduce the resonance energies (Er) and the resonance widths (Γr) for the ℓπ states, 1-, 2+, 3-, and 4+, showing excellent agreement with experimental data. This computational approach to constructing inverse potentials serves as a complementary to conventional direct methods for investigating nuclear scattering phenomena.