N+dclustering of three-nucleon systems:D-state effects in (d,t) andd,He3) reactions

Abstract

The $S$- and $D$-state radial components ${u}_{0}$ and ${u}_{2}$ of the relative motion between the clusters $d+n$ in $^{3}\mathrm{H}$ necessary in a full finite range distorted-wave Born-approximation analysis of ($d$,$t$) reactions, are calculated using realistic triton and deuteron wave functions derived from the Reid soft-core potential. The parameter ${D}_{2}$ which provides a measure of the asymptotic $D$ state to $S$ state ratio is found to be almost entirely determined by the triton $D$ state, the deuteron $D$-state contribution being about 10%. Using the Strayer and Sauer triton wave function, the value ${D}_{2}=\ensuremath{-}0.17$ ${\mathrm{fm}}^{2}$ is obtained after correcting the asymptotic behavior of the $d\ensuremath{-}t$ overlap. This result suggests that the Reid soft-core potential overestimates ${D}_{2}$ by about 20% compared with values extracted from a local energy approximation analysis of ($d$,$t$) tensor analyzing power data. The difference between ${D}_{2}$ for ($d$,$t$) and ($d$,$^{3}\mathrm{He}$) is discussed.NUCLEAR STRUCTURE $^{3}\mathrm{H}$; calculated $S$ and $D$ states of the overlap integral with deuteron; deduced ${D}_{0}$ and ${D}_{2}$ for ($d$,$t$) and ($d$, $^{3}\mathrm{He}$) reactions.