Three-body scattering states of the Borromean two-neutron halo nuclei
are explored in a core + n + n model using the method of hyperspherica
l harmonics. We analyse the continuum structure (the properties of the
continuum wave functions) separately from the continuum response (the
magnitudes of one-step transitions from the ground state to the conti
nuum). Predictions are made for the positions and strengths of the iso
scalar monopole, electric dipole and quadrupole excitations, as well a
s for nuclear inelastic and charge-exchange response functions, for th
e He-6 nucleus. The known 2(+) resonance in He-6 is reproduced. We fin
d 1(-) strength concentrations at lower energies in the proximity of t
he three-body threshold and predict new 2(+), 1(+) (and possibly 0(+))
resonances at slightly higher energies in He-6. (C) 1998 Elsevier Sci
ence B.V.