Improved Numerical Method for Calculation of 4-Body Transition Amplitudes

📝 Original Info

• Title: Improved Numerical Method for Calculation of 4-Body Transition Amplitudes
• ArXiv ID: 1305.1908
• Date: 2013-05-09
• Authors: Researchers from original ArXiv paper

📝 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.

💡 Deep Analysis

Deep Dive into Improved Numerical Method for Calculation of 4-Body Transition Amplitudes.

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.

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