H2(d,γ)4He reaction from a microscopic point of view

A microscopic study of the ${}_{}{}^2{}_{}{}^{}\mathrm{H}$(d,γ${)}^4$He reaction with deuteron and ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ bound state wave functions which include the D-state components is presented. Cross section and tensor analyzing powers are calculated for deuteron energies between 1 and 15 MeV. Deuteron D-state effects are found to be particularly important in the transition amplitude arising from the ${}_{}{}^5{}_{}{}^{}\mathrm{S}_2^{}{}_{}{}^{}$ scattering state. A detailed comparison between cluster and microscopic calculations is presented. Using an effective two-body model the analysis of $A_{\mathrm{yy}}$ data, in the energy range 1≤$E_{\mathrm{d}\mathrm{\le }15}$ MeV, gives for the asymptotic D/S state ratio in ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ the value ρ=-0.18.