Journal of Research The Bede Athenaeum
  • Year: 2024
  • Volume: 15
  • Issue: 1

Study of nd scattering using reference potential approach

1Department of Physics and Astronomical Sciences, CUHP, Dharamshala, Himachal Pradesh, India

2Department of Physics, St. Bedes College, Himachal Pradesh, India

*Email: shikha0983@gmail.com

Online published on 19 March, 2024.

Abstract

Reference potential approach has been shown to explain elastic scattering of neutrondeuteron interaction successfully, for the doublet ground state by considering energies up-to 10 MeV. In this paper, we extend the methodology to study scattering of nd system for energies ranging beyond the deuteron breakup threshold using complex potential approach. The reference potential has been considered to be a complex potential with both its real and imaginary parts in the form of Morse function. The nonlinear phase equation has been solved separately for the real and imaginary parts of the interaction, using Runge-Kutta 5th order (RK5) method to obtain their respective scattering phase shifts. Model parameters for interaction potential have been varied in an iterative fashion within the optimisation procedure to minimise the mean absolute percentage error w.r.t. the experimantal data. The real and imaginary parts of scattering phase shifts for doublet ground state of nd system have been obtained up-to energies 19 MeV with mean absolute percentage error (MAPE) of 2.13 %, 0.03 % respectively. Inverse potentials corresponding to the interaction resulting in real and imaginary scattering phase shifts of nd system have been constructed successfully using reference potential approach.

Keywords

Phase function method, Reference potential, Complex Morse potential, Nd scattering