Theoretical Calculation of S-factor in d(d,γ)α at low energy

Abstract：

We study one of the most important reactions ²H(d,γ)⁴He with an astrophysical interest. A phenomenological model is adopted where the D-state component of the colliding deuterons and D-components in ⁴He ground state are considered. Woods-Saxon potential parameters are obtained by reproducing the binding energy of d-d system and d-d elastic scattering phase shifts calculated by the resonating group method. A comparison of theoretical results with the experiment data is made at the energy range E_c.m.<3MeV. In particular, rather good agreement with the experiment data of the astrophysical S-factor can be obtained below 500keV. Due to the lack of experiment data at the energies around 0—20keV required in the investigation of the stellar nucleosynthesis, an theoretical extrapolation of the S-factor down to stellar energies is performed.