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Four-body distorted wave theory appropriate for nucleon-nucleus reactionsleading to 3-body continuum excitations of two-neutron Borromean halo nuclei isdeveloped. The peculiarities of the halo bound state and 3-body continuum arefully taken into account by using the method of hyperspherical harmonics. Theprocedure is applied for A=6 test-bench nuclei; thus we report detailed studiesof inclusive cross sections for inelastic $^6$He(p,p')$^6$He$^*$ andcharge-exchange $^6$Li(n,p)$^6$He$^*$ reactions at nucleon energy 50 MeV. Thetheoretical low-energy spectra exhibit two resonance-like structures. The first(narrow) is the excitation of the well-known $2^+$ three-body resonance. Thesecond (broad) bump is a composition of overlapping soft modes ofmultipolarities $1^-, 2^+, 1^+, 0^+$ whose relative weights depend ontransferred momentum and reaction type. Inelastic scattering is the mostselective tool for studying the soft dipole excitation mode.Comment: Submitted to Phys. Rev. C., 11 figures using eps

physical review. c. nuclear physics/physical review. c, nuclear physics

Halo excitation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>He in inelastic and charge-exchange reactions

Halo excitation of6He in inelastic and charge-exchange reactions