Four-body continuum-discretized coupled-channels calculations using a transformed harmonic oscillator basis

TL;DR

This paper develops a novel method using a transformed harmonic oscillator basis within a continuum-discretized coupled-channels framework to accurately model scattering of weakly bound three-body systems like 6He on various targets.

Contribution

It introduces a transformed harmonic oscillator basis for continuum discretization in four-body scattering calculations, improving the treatment of weakly bound systems.

Findings

Accurate modeling of 6He scattering on different targets.

Effective inclusion of Coulomb and nuclear interactions.

Validation of the method across multiple reaction energies.

Abstract

The scattering of a weakly bound three-body system by a target is discussed. A transformed harmonic oscillator basis is used to provide an appropriate discrete and finite basis for treating the continuum part of the spectrum of the projectile. The continuum-discretized coupled channels framework is used for the scattering calculations. The formalism is applied to different reactions, 6He+12C at 229.8 MeV, 6He+64Zn at 10 and 13.6 MeV, and 6He+208Pb at 22 MeV, induced by the Borromean nucleus 6He. Both the Coulomb and nuclear interactions with a target are taken into account.