An effective two-body model for spectra of clusters of ${}^2$H, ${}^3$H, ${}^3$He, and ${}^4$He with ${}^4$He, and ${}^2$H-${}^4$He scattering

Four light-mass nuclei are considered by an effective two-body clusterisation method; ${}^6$Li as ${}^2$H${+}^4$He, ${}^7$Li as ${}^3$H${+}^4$He, ${}^7$Be as ${}^3$He${+}^4$He, and ${}^8$Be as ${}^4$He${+}^4$He. The low-energy spectrum of each is determined from single-channel Lippmann-Schwinger equations, as are low-energy elastic scattering cross sections for the ${}^2$H${+}^4$He system. These are presented at many angles and energies for which there are data. 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 clusterisations.