Coulomb Breakup Reactions in Complex-Scaled Solutions of the Lippmann-Schwinger Equation

TL;DR

This paper introduces a novel method combining the complex scaling technique with the Lippmann-Schwinger equation to accurately model three-body nuclear breakup reactions, successfully reproducing experimental Coulomb breakup data.

Contribution

The paper presents the complex-scaled solutions of the Lippmann-Schwinger equation (CSLS), a new approach for describing many-body breakup amplitudes in nuclear reactions.

Findings

Successfully reproduces experimental Coulomb breakup cross sections.

Provides detailed energy distribution of E1 transition strength.

Confirms the significance of the 5He(3/2-) resonance.

Abstract

We propose a new method to describe three-body breakups of nuclei, in which the Lippmann-Schwinger equation is solved combining with the complex scaling method. The complex-scaled solutions of the Lippmann-Schwinger equation (CSLS) enables us to treat boundary conditions of many-body open channels correctly and to describe a many-body breakup amplitude from the ground state. The Coulomb breakup cross section from the 6He ground state into 4He+n+n three-body decaying states as a function of the total excitation energy is calculated by using CSLS, and the result well reproduces the experimental data. Furthermore, the two-dimensional energy distribution of the E1 transition strength is obtained and an importance of the 5He(3/2-) resonance is confirmed. It is shown that CSLS is a promising method to investigate correlations of subsystems in three-body breakup reactions of the weakly-bound nuclei.