Description of Four-Body Breakup Reaction with the Method of Continuum-Discretized Coupled-Channels

Abstract

We present a method for 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, ${}^{58}$Ni($d$, $pn$) at 80 MeV and the $E1$ transition of ${}^6$He. We apply CDCC with the smoothing method to ${}^6$He breakup reaction at 22.5 MeV. Multi-step breakup processes are found to be important.

Comments: 19 pages, 7 figures, published in Progress of Theoretical Physics