Analytical Results for the Three-Body Radiative Attachment Rate Coefficient, with Application to the Positive Antihydrogen Ion H̄+

Authors

Jack C. Straton, Portland State UniversityFollow

Published In

Atoms

Document Type

Article

Publication Date

4-20-2020

Subjects

Photoionization, Proton-antiproton interactions, Antimatter -- Analysis, Particles (Nuclear physics), Hydrogen ions, Radiative transfer

Abstract

To overcome the numerical difficulties inherent in the Maxwell–Boltzmann integral of the velocity-weighted cross section that gives the radiative attachment rate coefficient αRA for producing the negative hydrogen ion H⁻ or its antimatter equivalent, the positive antihydrogen ion H¯⁺ , we found the analytic form for this integral. This procedure is useful for temperatures below 700 K, the region for which the production of H¯⁺ has potential use as an intermediate stage in the cooling of antihydrogen to ultra-cold (sub-mK) temperatures for spectroscopic studies and probing the gravitational interaction of the anti-atom. Our results, utilizing a 50-term explicitly correlated exponential wave function, confirm our prior numerical results.

Rights

© 2020 by the author. Licensee MDPI, Basel, Switzerland.

This work is licensed under a Creative Commons Attribution 4.0 International License.

Description

This article belongs to the Special Issue Interactions of Positrons with Matter and Radiation.

Locate the Document

https://doi.org/10.3390/atoms8020013

DOI

10.3390/atoms8020013

Persistent Identifier

https://archives.pdx.edu/ds/psu/32775

Citation Details

Straton, J. C. (2020). Analytical Results for the Three-Body Radiative Attachment Rate Coefficient, with Application to the Positive Antihydrogen Ion H¯+. Atoms, 8(2), 13.