Polarization Effects in Deuteron Stripping Reactions and the Deuteron D-State.

A three-body model for a deuteron stripping reaction is developed which includes coupling to the deuteron singlet channel. In this model an effective one-body Schrodinger equation for the deuteron is derived, such that all three-body effects are contained exactly within the deuteron potential. Approximations are demonstrated whereby the exact three-body model reduces to a) the Watanabe model and b) a resemblance to the adiabatic model. The recent proposal, that deuteron sub-Coulomb stripping reactions could be used as a method to obtain quantitative information about the deuteron D-state is investigated. Two uncertainties in this determination are considered a) the singlet deuteron break-up channel, and b) a tensor T R force in the deuteron channel. The reactions studied are [209]Pb (d,p) [209]Pb, Ed = 9.0 MeV and [90]Zr (d,p) [91]Zr, Ed = 5.5MeV. General considerations of Sub-Coulomb stripping reactions are discussed. The coupling to the singlet channel is solved exactly using a modified Numerov numerical method, in the light of new information concerning the strength of the 1S-3S coupling from (p,n) experiments. The exact method is contrasted to the symmetric approximation employed in previous work. As a result, it is found that the region of the nuclear interior is the most important for singlet coupling. The deuteron T R tensor term is derived from a) the Watanabe model, and b) the reformulated Johnson and Soper adiabatic model. The adiabatic T R is found to be considerably smaller to the Watanabe T R. The uncertainty by using a three-body T R which includes break-up effects in a deuteron stripping reaction is thereby minimized. Results for [208]Pb(d,p) [209]Pb and [90]Zr(d,p) [91]Zr verify this. The reaction [90]Zr (d,p) [91]Zr,Ed = 5.5 MeV is found to be the least sensitive to the uncertainties considered, and hence is better suited for a study of the deuteron D-state