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

TL;DR

This paper introduces a smoothing technique for continuum-discretized coupled-channels (CDCC) calculations, enabling the study of four-body breakup reactions, and demonstrates its effectiveness through applications to specific nuclear reactions.

Contribution

A novel smoothing method for CDCC calculations is developed, allowing accurate analysis of four-body breakup reactions in nuclear physics.

Findings

Smoothing method successfully applied to $^{58}$Ni($d$, $p n$) at 80 MeV

Effective in analyzing $^6$He breakup at 22.5 MeV

Multi-step breakup processes are significant in the studied reactions

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($d$, $p n$) 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.