Charge-exchange reaction (d,He2)

${}_{}{}^2{}_{}{}^{}\mathrm{He}$ energy spectra were obtained for the ($d$,${}_{}{}^2{}_{}{}^{}\mathrm{He}$) reaction on targets of ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^{10}{}_{}{}^{}\mathrm{B}$, and ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ at $E_d=55\mathrm{}$ MeV in a kinematically complete coincidence measurement of two protons with small relative energies. Projected proton-energy spectra show an enhancement of the cross section over phase space due to the final-state interaction between two protons in a relative ${}_{}{}^1{}_{}{}^{}S_0^{}{}_{}{}^{}$ state. ${}_{}{}^2{}_{}{}^{}\mathrm{He}$ angular distributions were found to be in reasonable agreement with predictions of microscopic distorted-wave Born-approximation calculations using spectroscopic amplitudes derived from intermediate-coupling wave functions.