Deuteron Structure and Form Factors: Using Inverse Potentials for S-waves

TL;DR

This study models deuteron properties using inverse S-wave potentials and machine learning, achieving close agreement with experimental data on scattering, form factors, and static properties.

Contribution

It introduces a novel approach combining inverse potentials with machine learning to accurately determine deuteron properties.

Findings

Mean squared error for SPS: 0.35 (3S1), 0.70 (1S0)

Total cross-section contributions match experimental data

Deuteron wave-function aligns with measured quadrupole moment

Abstract

In this paper, we determine deuteron's static properties, low energy scattering parameters, total cross-section and form factors from inverse S-wave potentials constructed using Morse function. The scattering phase shifts (SPS) at different lab energies are determined using phase function method. The model parameters are optimised using both machine learning algorithm and traditional data analysis by choosing mean squared error as cost function. The mean absolute error between experimental and obtained SPS for states 3S1 and 1S0 are found to be 0.35 and 0.70 respectively. The low energy scattering parameters are matching well with expected values. The contribution due to S-waves SPS towards total cross-section at various energies have been obtained and are matching well with experimental values. The analytical ground state deuteron wave-function (DWF) is obtained by utilizing the experimental value for Quadrupole moment. Other static properties and form factors determined from obtained DWF are found to be in close agreement with experimental ones.