Exploring continuum structures with a pseudo-state basis

TL;DR

This paper investigates a new pseudo-state basis derived from a scaled harmonic oscillator basis to accurately represent continuum states in two-body systems, showing excellent agreement with exact calculations and experimental data.

Contribution

It introduces a simple analytic local scale transformation to the harmonic oscillator basis for continuum representation, demonstrating its effectiveness in scattering and breakup calculations.

Findings

Accurately reproduces scattering phase-shifts and B(E1), B(E2) transition probabilities.

Provides excellent agreement with exact continuum calculations.

Successfully describes projectile breakup cross sections matching experimental data.

Abstract

The ability of a recently developed square-integrable discrete basis to represent the properties of the continuum of a two-body system is investigated. The basis is obtained performing a simple analytic local scale transformation to the harmonic oscillator basis. Scattering phase-shifts and the electric transition probabilities B(E1) and B(E2) have been evaluated for several potentials using the proposed basis. Both quantities are found to be in excellent agreement with the exact values calculated from the true scattering states. The basis has been applied to describe the projectile continuum in the 6He scattering by 12C and 208Pb targets at 240 MeV/nucleon and the 11Be scattering by 12C at 67 MeV/nucleon. The calculated breakup differential cross sections are found to be in very good agreement with the available experimental data for these reactions.