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This work treats few-body systems consisting of neutrons interacting with a ^4He nucleus. The adiabatic hyperspherical representation is utilized to solve the N-body Schrodinger equation for the three- and four-body systems, treating both ^6He and ^7He nuclei. A simplified central potential model for the ^4He-n interaction is used in conjunction with a spin-dependent three-body interaction to reproduce ^6He bound-state and resonance properties as well as properties for the ^8He nucleus in its ground-state. With this Hamiltonian, the adiabatic hyperspherical representation is used to compute bound and scattering states for both ^6He and ^7He nuclei. For the ^6He system, the electric quadrupole transition between the 0^+ and 2^+ state is investigated. For the ^7He system, ^6He+n elastic scattering is investigated along with the four-body recombination process ^4He+n+n+n^6He+n and breakup process ^6He+n^4He+n+n+n.
Higgins et al. (Wed,) studied this question.