Excited states and associated resonance widths in the ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ system for $J^{\pi }=4^{-}, 5^{-}, 5^{+}, \mathrm{and} 6^{+}$ are calculated within the framework of the generalized $R$-matrix methodology of Lane and Robson. All calculated levels lie well above the known resonances in the ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ system. The effect of the Coulomb interaction on the ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ continuum wave functions is also discussed.

NUCLEAR STRUCTURE Calculated $J^{\pi }=4^{-}, 5^{-}, 5^{+}, \mathrm{and} 6^{+}$ resonance positions and associated widths in the ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ system. All states lie above 55 MeV excitation.

• Received 24 June 1977

DOI:https://doi.org/10.1103/PhysRevC.18.591