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Open AccessArticle

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

Department of Physics, Portland State University, Portland, OR 97207-0751, USA
Atoms 2020, 8(2), 13; https://doi.org/10.3390/atoms8020013
Received: 16 March 2020 / Revised: 9 April 2020 / Accepted: 10 April 2020 / Published: 20 April 2020
(This article belongs to the Special Issue Interactions of Positrons with Matter and Radiation)
To overcome the numerical difficulties inherent in the Maxwell–Boltzmann integral of the velocity-weighted cross section that gives the radiative attachment rate coefficient α R A 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. View Full-Text
Keywords: antihydrogen; radiative attachment; photodetachment; antihydrogen ion; analytical; hydrogen ion antihydrogen; radiative attachment; photodetachment; antihydrogen ion; analytical; hydrogen ion
MDPI and ACS Style

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

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