Estimation of the S₃₄(0) S-factor for ³He(α, γ)⁷Be reaction by using distorted wave born approximation and artificial neural network

Abstract

The astrophysical S-factor and total cross-section of $^3He(\alpha,\gamma)^7Be$ radiative capture reaction
are analyzed by using the first-order distorted wave born approximation and artificial neural network.
To make estimations of S$_{34}$(0) at energies going to zero, we have used
%distorted wave born approximation and we have compared our analysis with
artificial neural network model as a new approximation in this area.
First, we obtain distorted wave born approximation results by using the Gaussian and Woods-Saxon potentials.
After, we evaluate artificial neural network approximation to analysis reaction obervables of $^3He(\alpha,\gamma)^7Be$ system. Our results show that artificial neural network model is a powerful candidate as an extrapolation model at astrophysical energies to estimation of S-factor observable.