Microscopic calculations for theH4andLi4continuum

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.