Polarization Effects of the 3/2⁺ Resonance on the ³He(d,p)⁴He Fusion Reaction

Abstract

The nearest resonance state above the ³He-d threshold is investigated by using the three-body Faddeev formalism in the n-p-³He system. The AV14 NN potential in the ¹ S ₀, ³ S ₁-³ D ₁, ¹ P ₁, ³ P ₀, ³ P ₁, ³ P ₂-³ F ₂, ¹ D ₂, and ³D₂ partial waves is adopted, while the p-³He, and n-³He effective interactions are constructed by using the well known Resonating Group Method (RGM), but only the ¹ S ₀ and ³ S ₁ states for the N-³He interaction are used in our first trial. We found a 3/2⁺ resonance state of ⁵Li which appears at around E_lab= 400keV above the d-³He threshold, which is slightly lower than the 450 keV experimental value. The low energy unpolarized ³He(d,p)⁴He reaction cross section and polarized $^2\overrightarrow{\textup{He}}(\overrightarrow{d},p)^4{\textup{He}}$ cross section are compared in the resonance energy region. Coulomb effects are taken into account in the initial and the final states.