Improved Numerical Method for Calculation of 4-Body Transition Amplitudes

TL;DR

This paper introduces a new numerical technique that significantly reduces computation time for calculating four-body atomic collision amplitudes, enabling more efficient and resource-effective fully differential cross section calculations.

Contribution

The paper presents a novel method that decreases computational hours for FDCS calculations by utilizing more memory, improving efficiency in four-body atomic collision simulations.

Findings

Reduced computation time for FDCS calculations

Increased memory usage enables more efficient calculations

Facilitates study of complex 4-body atomic processes

Abstract

In order to study 4-body atomic collisions such as excitation-ionization, transfer with target excitation, and double electron capture, the calculation of a nine-dimensional numerical integral is often required. This calculation can become computationally expensive, especially when calculating fully differential cross sections (FDCS), where the positions and momenta of all the particles are known. We have developed a new technique for calculating FDCS using fewer computing hours, but more memory. This new technique allows for much more efficient calculations and the use of many fewer resources.