Four light-mass nuclei are considered by an effective two-body clusterization method: ${}^7\mathrm{Li}$ as ${}^3\mathrm{H}+{}^4\mathrm{He},{}^7\mathrm{Be}$ as ${}^3\mathrm{He}+{}^4\mathrm{He},{}^8\mathrm{Be}$ as ${}^4\mathrm{He}+{}^4\mathrm{He}$, and ${}^6\mathrm{Li}$ as ${}^2\mathrm{H}+{}^4\mathrm{He}$. The low-energy spectra of the first three are determined from single-channel Lippmann-Schwinger equations. For the last, two uncoupled sets of equations are considered: those involving the $\underset{1}{{}^3\mathrm{S}}$ and those of the posited ${}^1{S}_0$ states of ${}^2\mathrm{H}$. Low-energy elastic scattering cross sections are calculated from the same ${}^2\mathrm{H}+{}^4\mathrm{He}$ Hamiltonian, for many angles and energies for which data are available. While some of these systems may be more fully described by many-body theories, this work establishes that a large amount of data may be explained by these two-body clusterizations.

• Received 5 January 2017
• Revised 3 July 2017

DOI:https://doi.org/10.1103/PhysRevC.96.014619