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 $D_2=-0.17\mathrm{}$ ${\mathrm{fm}}^2$ is obtained after correcting the asymptotic behavior of the $d-t$ 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.

• Received 28 August 1978

DOI:https://doi.org/10.1103/PhysRevC.19.238