METHODS USING THE EXAMPLE OF PROTON ELASTIC SCATTERING ON ¹⁴C IN THE ENERGY RANGE FROM 3.7 TO 7.0 MeV

This work presents an integrated approach to the analysis of proton elastic scattering on the ¹⁴C nucleus in the energy range from 3.7 to 7.0 MeV. The approach combines the quantum mechanical Full Wave Method FWM, Monte Carlo simulations based on Geant4, and experimental data. Phase shifts were obtained by solving the Schrödinger equation with an optical potential constructed from the microscopic CDM3Y interaction and a Woods Saxon parameterization for the imaginary part, including the spin orbit contribution. The calculated differential cross sections were compared with experimental measurements and Geant4 simulations, showing agreement within 3 to 6 percent. The observed nonlinear increase in phase shifts and cross sections above 5.5 MeV indicates deviations from standard optical behavior. These features suggest a cluster like or halo influenced structure of the ¹⁴C nucleus, confirming its non trivial internal configuration. The proposed hybrid methodology aligns theoretical calculations and simulations with experimental data and can be applied to reactions in unexplored energy regions, as well as to modeling radiation effects in materials.

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