We present results for p+He single electron capture and transfer with target excitation using the first Born approximation. The effect of approximating the center of mass of the helium atom and outgoing hydrogen atom at the respective nuclei is explored. Semianalytical results are compared for the calculations with and without the approximation, and it is shown that one must properly account for the center of mass of the atoms. It is also shown that this approximation is the result of the apparent v4 scaling that was previously observed with the four-body transfer with target excitation model.
A. L. Harris and D. H. Madison, "Effect of the Center-Of-Mass Approximation on the Scaling of Electron-Capture Fully Differential Cross Sections," Physical Review A - Atomic, Molecular, and Optical Physics, vol. 90, no. 2, American Physical Society (APS), Aug 2014.
The definitive version is available at https://doi.org/10.1103/PhysRevA.90.022701
Center for High Performance Computing Research
Keywords and Phrases
High Energy Physics; Center of Mass; Electron-Capture; Excitation Modeling; First Born Approximation; Fully Differential Cross Sections; Hydrogen Atoms; Semi-Analytical; Single Electron Capture; Atoms
International Standard Serial Number (ISSN)
Article - Journal
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