We investigate the spin-flip charge-exchange type nuclear excitations, that are, Gamow-Teller (GT) and isovector-spin-monopole (IVSM) transitions, to explore a possible probe to study the two-neutron correlations in the halo nuclei. A typical light halo nucleus, ~6He, is studied with ~4He (a) + two-nucleon (N) three-body model. We show that the IVSM transitions are superior to the GT ones to obtain the information on the structure of ~6He: The strong IVSM strengths, which are sensitive to the binding energy of ~6He, are found in the low-lying region below the a+deuteron (d) threshold, whereas the GT strengths have almost no peak due to small overlap between the wave functions of the ground state of ~6He and the a + d continuum of ~6Li.
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