nα Elastic Scattering: An Application of Variable Phase Approach to Local Potential

2025/12/14 by Anil Khachi, Khachi, Anil
Physics and Astronomy · Earth and Planetary Sciences · #Nuclear Physics and Applications #Nuclear physics research studies #High-pressure geophysics and materials

paper · pdf · doi:10.48550/arxiv.2512.12807

Abstract

Distance-dependent phase shifts, amplitude functions, and radial wave functions for neutron-alpha elastic scattering are studied using the Variable Phase Approach. The microscopic KKNN potential is employed to calculate scattering properties for the S_1/2, P_3/2, and P_1/2 partial waves over a range of laboratory energies. The variable phase equations are solved numerically using a fifth-order Runge-Kutta method, allowing a direct examination of how the nuclear interaction generates the scattering phase within the finite interaction region. The results exhibit physically consistent behavior of the phase shifts and yield well-behaved amplitude and wave functions. This study demonstrates that the Variable Phase Approach provides a physically transparent and reliable framework for describing neutron-alpha elastic scattering and for applications in inverse scattering problems.

Citations

• Physics-Guided Neural Networks for Constructing Nucleon-Nucleon Inverse Potentials
• Estimating Inverse Scattering Potentials for n-p System Using Variational Monte Carlo & Neural Networks
• Computing Scattering Cross Sections For Spherically Symmetric Potentials
• Real and Imaginary Phase Shifts for Nucleon-Deuteron Scattering using Phase Function Method

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