New description of four-body breakup reaction

TL;DR

This paper introduces a new smoothing method for four-body breakup reaction cross sections using complex scaling, validated on reactions involving $^{58}$Ni and $^{12}$C, improving convergence and separating resonant components.

Contribution

The paper presents a novel complex scaling-based smoothing technique for four-body breakup cross sections that does not require continuum state derivation and demonstrates fast convergence.

Findings

Successful application to $^{58}$Ni($d$, $pn$) reaction at 80 MeV

Application to $^{12}$C($^6$He, $nn^4$He) reaction at 229.8 MeV

Resonant component separation from non-resonant in $^6$He breakup

Abstract

We present a novel method of smoothing discrete breakup cross sections calculated by the method of continuum-discretized coupled-channels. The method based on the complex scaling method is tested with success for $^{58}$Ni($d$, $pn$) reaction at 80 MeV as an example of a three-body breakup reaction, and applied to $^{12}$C($^6$He, $nn^4$He) reaction at 229.8 MeV as a typical example of a four-body breakup reaction. The new method does not need to derive continuum states of the projectile in order to evaluate the breakup cross section as a smooth factor of the excitation energy of the projectile. Fast convergence of the breakup cross section with respect to extending the modelspace is confirmed. For the $^6$He breakup cross section, the resonant component is separated from the non-resonant one.