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Many-Body Theory for Positronium-Atom Interactions.

D G Green¹, A R Swann¹, G F Gribakin¹

¹Centre for Theoretical Atomic, Molecular, and Optical Physics, School of Mathematics and Physics, Queen's University Belfast, Belfast BT7 1NN, Northern Ireland, United Kingdom.

Physical Review Letters

|May 19, 2018

Summary

This summary is machine-generated.

A new many-body theory accurately predicts positronium-atom interactions. Calculations for helium and neon show excellent agreement with experimental pickoff annihilation rates, validating the approach for studying these fundamental atomic collisions.

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Area of Science:

Atomic and Molecular Physics
Quantum Mechanics
Many-Body Theory

Background:

Positronium-atom interactions are crucial for understanding fundamental atomic processes.
Accurate theoretical models are needed to interpret experimental data and predict collision outcomes.
Previous calculations and experimental measurements for positronium-He and positronium-Ne scattering show some discrepancies.

Purpose of the Study:

To develop and apply a many-body theory approach for positronium-atom interactions.
To calculate elastic scattering, momentum-transfer cross sections, and pickoff annihilation rates for positronium collisions with Helium (He) and Neon (Ne).
To compare theoretical results with existing experimental data and other theoretical calculations.

Main Methods:

Employed a sophisticated many-body theory framework.
Calculated key scattering parameters including elastic scattering and momentum-transfer cross sections.
Determined the pickoff annihilation rate, denoted as ^{1}Z_{eff}, for positronium-atom systems.

Main Results:

Elastic scattering cross sections for positronium-He collisions align well with previous coupled-state calculations.
Calculated ^{1}Z_{eff} values of 0.13 for He and 0.26 for Ne show excellent agreement with experimental measurements.
Discrepancies were noted between various experimental datasets for cross sections, highlighting the need for further experimental refinement.

Conclusions:

The developed many-body theory provides a reliable method for studying positronium-atom interactions.
The excellent agreement for pickoff annihilation rates validates the theoretical model's predictive power.
The study underscores the importance of precise experimental data for validating theoretical models in atomic physics.