Analysis of the $^3{\rm{\vec He}}{(\vec d,p)^4}{\rm{He}}$ Reaction at E _lab =270 MeV

Abstract

Reaction ³He(d,p)⁴He with a polarized ³He target and a polarized deuterium beam at E_lab = 270MeV would be an ambitious experiment in which a constraint on the deuteron D-state probability could be measured directly. Moreover, the reaction is interesting as an example of how to treat the five-body problem from Faddeev theoretical point of view of a multi-channel three-cluster problem. Our approach involves coupled-channel Faddeev equations for the ³He-p-n and d-d-p systems. We obtain the scattering amplitudes “χ _hPn” and “χ _ddp” by solving the three-cluster Faddeev equations which is an improvement over our former Born approximation. The calculated χ _hpn and χ _ddp are combined by a proper normalization method. We investigate the polarized and unpolarized differential cross sections and the polarization correlation coefficient C_//. We find that the amplitude χ _hpn contributes mainly to the forward region of the differential cross section while χ _ddP to the backward region. C_// is not improved.