# Inclusive Breakup Theory of Three-Body Halos

## TL;DR

This paper develops a four-body theoretical framework for analyzing inclusive breakup reactions involving weakly bound three-cluster nuclei, extending previous three-body models to better interpret experimental data and guide future research.

## Contribution

It introduces a four-body spectator model for inclusive breakup reactions, extending earlier three-body theories to improve understanding of three-cluster nuclear interactions.

## Key findings

- Provides a new theoretical approach for three-body halo breakup reactions.
- Encourages experimental investigation of the $x_1 + x_2$ system.
- Suggests further development of the surrogate method based on the theory.

## Abstract

We present a recently developed theory for the inclusive breakup of three-fragment projectiles within a four-body spectator model \cite{CarPLB2017}, for the treatment of the elastic and inclusive non-elastic break up reactions involving weakly bound three-cluster nuclei in $A\,(a,b)\,X$ / $a = x_1 + x_2 + b$ collisions. The four-body theory is an extension of the three-body approaches developed in the 80's by Ichimura, Autern and Vincent (IAV) \cite{IAV1985}, Udagawa and Tamura (UT) \cite{UT1981} and Hussein and McVoy (HM) \cite{HM1985}. We expect that experimentalists shall be encouraged to search for more information about the $x_{1} + x_{2}$ system in the elastic breakup cross section and that also further developments and extensions of the surrogate method will be pursued, based on the inclusive non-elastic breakup part of the $b$ spectrum.