A new model for the ${}_{}{}^4{}_{}{}^{}\mathrm{H}$ and ${}_{}{}^4{}_{}{}^{}\mathrm{Li}$ nuclei in which structure and reaction aspects are treated on an equal footing is introduced. The internal states are expanded on a basis of properly antisymmetrized translationally invariant harmonic oscillator eigenstates including all states up to $4\hslash \omega$ oscillator excitation. All two-body breakup channels, namely $n+{}_{}{}^3{}_{}{}^{}\mathrm{H}$ or $p+{}_{}{}^3{}_{}{}^{}\mathrm{He}$, are explicitly included. The two-body interaction is based on the Sussex matrix elements. Model widths and positions of the excited states and elastic scattering cross sections are in qualitative agreement with the data. Three- and four-body breakup channels are ignored.

NUCLEAR STRUCTURE Calculated ${}_{}{}^4{}_{}{}^{}\mathrm{H}$ and ${}_{}{}^4{}_{}{}^{}\mathrm{Li}$ level positions and widths.

NUCLEAR REACTIONS Calculated differential cross sections for ${}_{}{}^3{}_{}{}^{}\mathrm{H}\mathrm{}(n,n)\mathrm{}$ and ${}_{}{}^3{}_{}{}^{}\mathrm{He}\mathrm{}(p,p)\mathrm{}$ for $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=5.1\mathrm{}-8.1$ MeV.

• Received 3 March 1977

DOI:https://doi.org/10.1103/PhysRevC.16.1673