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Title: Low-energy scattering properties of ground-state and excited-state positronium collisions

Abstract

Low-energy elastic and inelastic scattering in the Ps(1s)-Ps(2s) channel is treated in a four-body hyperspherical coordinate calculation. Adiabatic potentials are calculated for triplet-triplet, singlet-singlet, and singlet-triplet spin symmetries in the spin representation of coupled electrons and coupled positrons, with total angular momentum L = 0 and parity equal to +1. The s-wave scattering lengths for the asymptotic Ps(1s)-Ps(2s) channel are calculated for each spin configuration. Results obtained for the s-wave scattering lengths are aTT = 7.3(2)a0 – i0.02(1) a0, aSS = 13.2(2) a0 – i0.9 (2) a0, and aST = 9.7(2) a0 for each spin configuration. Spin recoupling is implemented to extract the scattering lengths for collisions of Ps in different spin configurations through properly symmetrized unitary transformations. Furthermore, calculations of experimentally relevant scattering lengths and cross sections are carried out for Ps atoms initially prepared in different uncoupled spin states.

Authors:
ORCiD logo [1];  [1];  [1]
  1. Purdue Univ., West Lafayette, IN (United States)
Publication Date:
Research Org.:
Purdue Univ., West Lafayette, IN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1611446
Alternate Identifier(s):
OSTI ID: 1545476
Grant/Contract Number:  
SC0010545
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 100; Journal Issue: 1; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; Optics; Physics; Atomic & molecular collisions; Scattering of atoms, molecules, clusters & ions

Citation Formats

Higgins, Michael D., Daily, Kevin M., and Greene, Chris H. Low-energy scattering properties of ground-state and excited-state positronium collisions. United States: N. p., 2019. Web. doi:10.1103/physreva.100.012711.
Higgins, Michael D., Daily, Kevin M., & Greene, Chris H. Low-energy scattering properties of ground-state and excited-state positronium collisions. United States. https://doi.org/10.1103/physreva.100.012711
Higgins, Michael D., Daily, Kevin M., and Greene, Chris H. 2019. "Low-energy scattering properties of ground-state and excited-state positronium collisions". United States. https://doi.org/10.1103/physreva.100.012711. https://www.osti.gov/servlets/purl/1611446.
@article{osti_1611446,
title = {Low-energy scattering properties of ground-state and excited-state positronium collisions},
author = {Higgins, Michael D. and Daily, Kevin M. and Greene, Chris H.},
abstractNote = {Low-energy elastic and inelastic scattering in the Ps(1s)-Ps(2s) channel is treated in a four-body hyperspherical coordinate calculation. Adiabatic potentials are calculated for triplet-triplet, singlet-singlet, and singlet-triplet spin symmetries in the spin representation of coupled electrons and coupled positrons, with total angular momentum L = 0 and parity equal to +1. The s-wave scattering lengths for the asymptotic Ps(1s)-Ps(2s) channel are calculated for each spin configuration. Results obtained for the s-wave scattering lengths are aTT = 7.3(2)a0 – i0.02(1) a0, aSS = 13.2(2) a0 – i0.9 (2) a0, and aST = 9.7(2) a0 for each spin configuration. Spin recoupling is implemented to extract the scattering lengths for collisions of Ps in different spin configurations through properly symmetrized unitary transformations. Furthermore, calculations of experimentally relevant scattering lengths and cross sections are carried out for Ps atoms initially prepared in different uncoupled spin states.},
doi = {10.1103/physreva.100.012711},
url = {https://www.osti.gov/biblio/1611446}, journal = {Physical Review A},
issn = {2469-9926},
number = 1,
volume = 100,
place = {United States},
year = {Mon Jul 29 00:00:00 EDT 2019},
month = {Mon Jul 29 00:00:00 EDT 2019}
}

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Works referenced in this record:

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Works referencing / citing this record:

Resonant shifts of positronium energy levels in MgO powder
journal, January 2020