Microscopic analysis of the ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$(${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{Li}_{}^{*}{}_{}{}^{}$(3.56))${}_{}{}^6{}_{}{}^{}\mathrm{Li}_{}^{*}{}_{}{}^{}$(3.56) and the ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$(${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$)${}_{}{}^6{}_{}{}^{}\mathrm{Be}$ reactions

A microscopic distorted-wave Born-approximation (DWBA) analysis of the ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$(${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{Li}_{}^{*}{}_{}{}^{}$(3.56))${}_{}{}^6{}_{}{}^{}\mathrm{Li}_{}^{*}{}_{}{}^{}$(3.56) and the ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$(${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$)${}_{}{}^6{}_{}{}^{}\mathrm{Be}$ reactions has been made and compared to microscopic studies of the $p,p$ and ${}_{}{}^3{}_{}{}^{}\mathrm{He},t$ reactions. The tensor interaction and full exchange of the $1p$ shell nucleons has been included. Agreement between the calculation and the data is generally good with two exceptions, and this agreement suggests that the reactions are indeed quasielastic. Special emphasis is given toward explaining the differences between the measured ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$(${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{Li}_{}^{*}{}_{}{}^{}$(3.56))${}_{}{}^6{}_{}{}^{}\mathrm{Li}_{}^{*}{}_{}{}^{}$(3.56) and ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$(${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$)${}_{}{}^6{}_{}{}^{}\mathrm{Be}$ cross sections. The cross sections should be equal according to charge independence because all final states are members of the same $T=1\mathrm{}$ isomultiplet. The theory correctly predicts the angular dependence of the difference in the two cross sections, but it does not predict the magnitude of the difference. The source of this disagreement may be attributed to differences in the wave functions of the final nuclei which are difficult to calculate.

[NUCLEAR REACTIONS ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$(${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$), (${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{Li}_{}^{*}{}_{}{}^{}$(3.56)), (${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$), $E=28-36\mathrm{}$ MeV; calculated $\sigma (E,\theta )$; deduced optical-model parameters. Microscopic DW$\stackrel{\mathrm{´}}{\mathrm{B}}$A analysis, deduced charge dependence.]