Effects of the DeuteronDState andJDependence in (d, p) and (p, d) Reactions

It is shown that the $D$ component of the deuteron internal wave function gives rise to corrections to the direct reaction theory of ($d, p$) and ($p, d$) reactions which depend strongly on the angular momentum of the transferred neutrons. For an orbital angular momentum transfer of 3 the corrections are large and give an important contribution to the $J$ dependence observed in the reactions ${\mathrm{Fe}}^{56}(p, d){\mathrm{Fe}}^{55}$ and ${\mathrm{Ni}}^{57}(p, d){\mathrm{Ni}}^{56}$.