We present a method of smoothing discrete breakup S-matrix elements calculated by the method of continuum-discretized coupled-channels (CDCC). This smoothing method makes it possible to apply CDCC to four-body breakup reactions. The reliability of the smoothing method is confirmed for two cases, 58Ni(d, pn) at 80 MeV and the El transition of 6He. We apply CDCC with the smoothing method to a 6He breakup reaction at 22.5 MeV. Multistep breakup processes are found to be important.
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