Theoretical analysis of the astrophysical S-factor for the alpha+d -->6Li + gamma capture reaction in the two body model

TL;DR

This paper provides a theoretical analysis of the astrophysical S-factor for the alpha+d to 6Li + gamma reaction using a two-body model with a Gaussian potential, accurately calculating wave functions and reaction rates across a wide temperature range.

Contribution

It introduces a simple Gaussian potential model that accurately describes phase-shifts, binding energy, and asymptotic normalization, improving the calculation of the S-factor and reaction rates.

Findings

Results agree with previous complex models at various energies.

Wave functions show good convergence with increased integral limits.

Reaction rates are consistent with established data across temperatures.

Abstract

Theoretical estimations for the astrophysical S-factor and the d(alpha,gamma)6Li reaction rates are obtained on the base of the two-body model with the alpha-d potential of a simple Gaussian form, which describes correctly the phase-shifts in the S-, P-, and D-waves, the binding energy and the asymptotic normalization constant in the final S-state. Wave functions of the bound and continuum states are calculated by using the Numerov algorithm of a high accuracy. A good convergence of the results for the E1- and E2- components of the transition is shown when increasing the upper limit of effective integrals up to 40 fm. The obtained results for the S-factor and reaction rates in the temperature interval 10E+6 K < T < 10E+10 K are in a good agreement with the results of Ref. A.M. Mukhamedzhanov, et.al., Phys. Rev., C 83, 055805 (2011), where the authors used the known asymptotical form of wave function at low energies and a complicated potential at higher energies.