Evaluation of inclusive breakup cross sections in reactions induced by weakly-bound nuclei within a three-body model

Jin Lei,Antonio M Moro,V Greco,C Spitaleri,S Pirrone,F Rizzo,M La Cognata

doi:10.1051/epjconf/201611706016

Abstract

In 1980s Ichimura, Austern and Vincent [Phys.Rev.C 32, 431 (1985)] proposed a quantum mechanical theory to study the problem of inclusive breakup cross sections in the nuclear reactions. Using the DWBA version of this model, applications to deuteron and 6 Li inclusive breakup reactions are presented and compared with some available data.

Highlights

The breakup of a nucleus into two fragments is an important mechanism in nuclear reactions, especially when one of the colliding nuclei is weakly bound
In 1980s Ichimura, Austern and Vincent [Phys.Rev.C 32, 431 (1985)] proposed a quantum mechanical theory to study the problem of inclusive breakup cross sections in the nuclear reactions
When all the fragments and target are emitted in their ground state, it is called Elastic Breakup (EBU)

Summary

Introduction

The breakup of a nucleus into two fragments is an important mechanism in nuclear reactions, especially when one of the colliding nuclei is weakly bound. If only one of the fragments (say,b) is detected, the reaction is inclusive This includes the EBU, and the target (A) excitation, the fusion of x with A, and the exchange of particles between x and A, which are globally referred to as Nonelastic Breakup (NEB). The later was refined by Kasano and Ichimura [4], who found a formal separation between EBU and NEB contributions These results were carefully reviewed by Ichimura, Austern and Vincent [5] and the model was subsequently referred to as IAV formalism. In this contribution, we have applied the finite-range DWBA version of IAV formalism [5, 6] to different inclusive breakup reaction systems and compared with the available data

Theoretical formulation

Calculations

Conclusion