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:
-
- 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}
}
Web of Science
Works referenced in this record:
Bose-Einstein Condensation of Atomic Hydrogen
journal, November 1998
- Fried, Dale G.; Killian, Thomas C.; Willmann, Lorenz
- Physical Review Letters, Vol. 81, Issue 18
Production of a Fully Spin-Polarized Ensemble of Positronium Atoms
journal, April 2010
- Cassidy, D. B.; Meligne, V. E.; Mills, A. P.
- Physical Review Letters, Vol. 104, Issue 17
Hyperspherical explicitly correlated Gaussian approach for few-body systems with finite angular momentum
journal, December 2012
- Rakshit, D.; Blume, D.
- Physical Review A, Vol. 86, Issue 6
Evidence for positronium molecule formation at a metal surface
journal, December 2007
- Cassidy, D. B.; Deng, S. H. M.; Mills, A. P.
- Physical Review A, Vol. 76, Issue 6
Experiments with a High-Density Positronium Gas
journal, November 2005
- Cassidy, D. B.; Deng, S. H. M.; Greaves, R. G.
- Physical Review Letters, Vol. 95, Issue 19
Theory and application of explicitly correlated Gaussians
journal, May 2013
- Mitroy, Jim; Bubin, Sergiy; Horiuchi, Wataru
- Reviews of Modern Physics, Vol. 85, Issue 2
The calculation of non-adiabatic transition probabilities
journal, March 1979
- Clark, Charles W.
- Physics Letters A, Vol. 70, Issue 4
Scattering of positronium atoms
journal, July 2004
- Chakraborty, Sumana; Basu, Arindam; Ghosh, A. S.
- Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 221
Hyperspherical Asymptotics of a System of Four Charged Particles
journal, April 2015
- Daily, K. M.
- Few-Body Systems, Vol. 56, Issue 11-12
Quantum Theory of Angular Momentum
book, October 1988
- Varshalovich, D. A.; Moskalev, A. N.; Khersonskii, V. K.
Experimental progress in positronium laser physics
journal, March 2018
- Cassidy, David B.
- The European Physical Journal D, Vol. 72, Issue 3
Collision between two ortho-positronium (Ps) atoms: A four-body Coulomb problem
journal, February 2016
- Ray, Hasi
- Pramana, Vol. 86, Issue 5
S-Wave Scattering Parameters for Positronium-Positronium Interaction and Positronium Bose-Einstein Condensates
journal, June 2001
- Oda, Kenji; Miyakawa, Takahiko; Yabu, Hiroyuki
- Journal of the Physical Society of Japan, Vol. 70, Issue 6
spectrum of a hydrogen Bose-Einstein condensate
journal, February 2000
- Killian, Thomas C.
- Physical Review A, Vol. 61, Issue 3
Self-Amplified Gamma-Ray Laser on Positronium Atoms from a Bose-Einstein Condensate
journal, July 2014
- Avetissian, H. K.; Avetissian, A. K.; Mkrtchian, G. F.
- Physical Review Letters, Vol. 113, Issue 2
Spinor Bose-Einstein condensates of positronium
journal, April 2014
- Wang, Yi-Hsieh; Anderson, Brandon M.; Clark, Charles W.
- Physical Review A, Vol. 89, Issue 4
Extension of the correlated Gaussian hyperspherical method to more particles and dimensions
journal, January 2014
- Daily, K. M.; Greene, Chris H.
- Physical Review A, Vol. 89, Issue 1
Positronium molecule formation, Bose–Einstein condensation and stimulated annihilation
journal, May 2002
- Mills, Allen Paine
- Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 192, Issue 1-2
Possible "New" Quantum Systems
journal, April 1976
- Stwalley, Willian C.; Nosanow, L. H.
- Physical Review Letters, Vol. 36, Issue 15
Positronium-positronium scattering using the stochastic variational method
journal, January 2002
- Ivanov, I. A.; Mitroy, J.; Varga, K.
- Physical Review A, Vol. 65, Issue 2
The hyperspherical four-fermion problem
journal, August 2011
- Rittenhouse, S. T.; Stecher, J. von; D’Incao, J. P.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 44, Issue 17
Three-Photon Annihilation of an Electron-Positron Pair
journal, June 1949
- Ore, A.; Powell, J. L.
- Physical Review, Vol. 75, Issue 11
Scattering properties of the polyelectronic system
journal, January 2015
- Daily, K. M.; von Stecher, Javier; Greene, Chris H.
- Physical Review A, Vol. 91, Issue 1
Complex scattering lengths in multi-channel atom–molecule collisions
journal, November 1997
- Balakrishnan, N.; Kharchenko, V.; Forrey, R. C.
- Chemical Physics Letters, Vol. 280, Issue 1-2
Correlated Gaussian hyperspherical method for few-body systems
journal, August 2009
- von Stecher, Javier; Greene, Chris H.
- Physical Review A, Vol. 80, Issue 2
Possibilities for Bose condensation of positronium
journal, January 1994
- Platzman, P. M.; Mills, A. P.
- Physical Review B, Vol. 49, Issue 1
Scattering lengths for collisions of ground state and metastable state hydrogen atoms
journal, March 1996
- Jamieson, M. J.; Dalgarno, A.; Doyle, J. M.
- Molecular Physics, Vol. 87, Issue 4
The production of molecular positronium
journal, September 2007
- Cassidy, D. B.; Mills, A. P.
- Nature, Vol. 449, Issue 7159
On the Annihilation of Electrons and Protons
journal, July 1930
- Dirac, P. A. M.
- Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 26, Issue 3
Elastic Positronium-Atom Scattering Using the Stochastic Variational Method
journal, July 2001
- Ivanov, I. A.; Mitroy, J.; Varga, K.
- Physical Review Letters, Vol. 87, Issue 6
Cold Collision Frequency Shift of the - Transition in Hydrogen
journal, November 1998
- Killian, Thomas C.; Fried, Dale G.; Willmann, Lorenz
- Physical Review Letters, Vol. 81, Issue 18
Quantum Monte Carlo treatment of elastic exciton-exciton scattering
journal, April 2001
- Shumway, J.; Ceperley, D. M.
- Physical Review B, Vol. 63, Issue 16
Elastic Positronium-Atom Scattering Using the Stochastic Variational Method
text, January 2001
- Ivanov, I. A.; Mitroy, J.; Varga, K.
- The American Physical Society
Three-Photon Annihilation of an Electron-Positron Pair
journal, June 1949
- Ore, A.; Powell, J. L.
- Physical Review, Vol. 75, Issue 12
Hyperspherical asymptotics of a system of four charged particles
text, January 2014
- Daily, K. M.
- arXiv
Bose-Einstein Condensation of Atomic Hydrogen
text, January 1998
- Fried, Dale G.; Killian, Thomas C.; Willmann, Lorenz
- arXiv
Positronium–positronium interaction: resonance, scattering length, and Bose–Einstein condensation
journal, March 2002
- Adhikari, Sadhan K.
- Physics Letters A, Vol. 294, Issue 5-6
Scattering lengths for collisions of ground state and metastable state hydrogen atoms
journal, March 1996
- Jamieson, M. J.; Dalgarno, A.; Doyle, J. M.
- Molecular Physics, Vol. 87, Issue 4
The Hyperspherical Four-Fermion Problem
text, January 2011
- Rittenhouse, Seth T.; von Stecher, J.; D'Incao, J. P.
- arXiv
Works referencing / citing this record:
Resonant shifts of positronium energy levels in MgO powder
journal, January 2020
- Gurung, L.; Cooper, B. S.; Hogan, S. D.
- Physical Review A, Vol. 101, Issue 1