Recent differential and total cross-section data relating to the ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$($d$,$\alpha$)${}_{}{}^4{}_{}{}^{}\mathrm{He}$, ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$($d$,$p$)${}_{}{}^7{}_{}{}^{}\mathrm{Li}$, and ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$($d$,$n$)${}_{}{}^7{}_{}{}^{}\mathrm{Be}$ reactions at deuteron energies between 0.1 and 1.0 MeV are analyzed in terms of the Wigner-Eisenbud formalism with the $R$-matrix elements assumed constant, i.e., independent of the energy of the incident deuteron. For the ($d$,$p$) and ($d$,$n$) reactions the possibility of an additional coherent direct-reaction contribution is also considered. The data are reasonably well reproduced by these calculations. The results thus give an indication of the magnitude of the direct contributions to these reactions. The results also show that the observation of a resonance-like structure in, e.g., the ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$($d$,$\alpha$)${}_{}{}^4{}_{}{}^{}\mathrm{He}$ reaction, does not necessarily imply a corresponding state in ${}_{}{}^8{}_{}{}^{}\mathrm{Be}$.

NUCLEAR REACTIONS $R$-matrix and DWBA analysis of ${}_{}{}^7{}_{}{}^{}\mathrm{Li}$($d$,$p$) and ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$($d$,$n$) reactions, $E\simeq 0.1-1.0$ MeV; $R$-matrix analysis of ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$($d$,$\alpha$) reaction, $E\simeq 0.1-2.0$ MeV.

• Received 14 August 1978

DOI:https://doi.org/10.1103/PhysRevC.19.2114