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

Higgins, Michael D.; Daily, Kevin M.; Greene, Chris H.

doi:10.1103/physreva.100.012711

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

Journal Article · Mon Jul 29 00:00:00 EDT 2019 · Physical Review A

DOI:https://doi.org/10.1103/physreva.100.012711· OSTI ID:1611446

^[1]; Daily, Kevin M. ^[1]; Greene, Chris H. ^[1]

Purdue Univ., West Lafayette, IN (United States)

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 a_TT = 7.3(2)a₀ – i0.02(1) a₀, a_SS = 13.2(2) a₀ – i0.9 (2) a₀, and a_ST = 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.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Purdue Univ., West Lafayette, IN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010545

OSTI ID:: 1611446

Alternate ID(s):: OSTI ID: 1545476

Journal Information:: Physical Review A, Vol. 100, Issue 1; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 2 works

Citation information provided by
Web of Science

References (39)

Bose-Einstein Condensation of Atomic Hydrogen Fried, Dale G.; Killian, Thomas C.; Willmann, Lorenz Physical Review Letters, Vol. 81, Issue 18 https://doi.org/10.1103/PhysRevLett.81.3811	journal	November 1998
Production of a Fully Spin-Polarized Ensemble of Positronium Atoms Cassidy, D. B.; Meligne, V. E.; Mills, A. P. Physical Review Letters, Vol. 104, Issue 17 https://doi.org/10.1103/PhysRevLett.104.173401	journal	April 2010
Hyperspherical explicitly correlated Gaussian approach for few-body systems with finite angular momentum Rakshit, D.; Blume, D. Physical Review A, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRevA.86.062513	journal	December 2012
Evidence for positronium molecule formation at a metal surface Cassidy, D. B.; Deng, S. H. M.; Mills, A. P. Physical Review A, Vol. 76, Issue 6 https://doi.org/10.1103/PhysRevA.76.062511	journal	December 2007
Experiments with a High-Density Positronium Gas Cassidy, D. B.; Deng, S. H. M.; Greaves, R. G. Physical Review Letters, Vol. 95, Issue 19 https://doi.org/10.1103/PhysRevLett.95.195006	journal	November 2005
Theory and application of explicitly correlated Gaussians Mitroy, Jim; Bubin, Sergiy; Horiuchi, Wataru Reviews of Modern Physics, Vol. 85, Issue 2 https://doi.org/10.1103/RevModPhys.85.693	journal	May 2013
The calculation of non-adiabatic transition probabilities Clark, Charles W. Physics Letters A, Vol. 70, Issue 4 https://doi.org/10.1016/0375-9601(79)90127-0	journal	March 1979
Scattering of positronium atoms Chakraborty, Sumana; Basu, Arindam; Ghosh, A. S. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 221 https://doi.org/10.1016/j.nimb.2004.03.040	journal	July 2004
Hyperspherical Asymptotics of a System of Four Charged Particles Daily, K. M. Few-Body Systems, Vol. 56, Issue 11-12 https://doi.org/10.1007/s00601-015-0979-7	journal	April 2015
Quantum Theory of Angular Momentum Varshalovich, D. A.; Moskalev, A. N.; Khersonskii, V. K. https://doi.org/10.1142/0270	book	October 1988
Experimental progress in positronium laser physics Cassidy, David B. The European Physical Journal D, Vol. 72, Issue 3 https://doi.org/10.1140/epjd/e2018-80721-y	journal	March 2018
Collision between two ortho-positronium (Ps) atoms: A four-body Coulomb problem Ray, Hasi Pramana, Vol. 86, Issue 5 https://doi.org/10.1007/s12043-015-1136-z	journal	February 2016
S-Wave Scattering Parameters for Positronium-Positronium Interaction and Positronium Bose-Einstein Condensates Oda, Kenji; Miyakawa, Takahiko; Yabu, Hiroyuki Journal of the Physical Society of Japan, Vol. 70, Issue 6 https://doi.org/10.1143/JPSJ.70.1549	journal	June 2001
$1 S - 2 S$ spectrum of a hydrogen Bose-Einstein condensate Killian, Thomas C. Physical Review A, Vol. 61, Issue 3 https://doi.org/10.1103/PhysRevA.61.033611	journal	February 2000
Self-Amplified Gamma-Ray Laser on Positronium Atoms from a Bose-Einstein Condensate Avetissian, H. K.; Avetissian, A. K.; Mkrtchian, G. F. Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.023904	journal	July 2014
Spinor Bose-Einstein condensates of positronium Wang, Yi-Hsieh; Anderson, Brandon M.; Clark, Charles W. Physical Review A, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevA.89.043624	journal	April 2014
Extension of the correlated Gaussian hyperspherical method to more particles and dimensions Daily, K. M.; Greene, Chris H. Physical Review A, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevA.89.012503	journal	January 2014
Positronium molecule formation, Bose–Einstein condensation and stimulated annihilation Mills, Allen Paine Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 192, Issue 1-2 https://doi.org/10.1016/S0168-583X(02)00790-5	journal	May 2002
Possible "New" Quantum Systems Stwalley, Willian C.; Nosanow, L. H. Physical Review Letters, Vol. 36, Issue 15 https://doi.org/10.1103/PhysRevLett.36.910	journal	April 1976
Positronium-positronium scattering using the stochastic variational method Ivanov, I. A.; Mitroy, J.; Varga, K. Physical Review A, Vol. 65, Issue 2 https://doi.org/10.1103/PhysRevA.65.022704	journal	January 2002
The hyperspherical four-fermion problem Rittenhouse, S. T.; Stecher, J. von; D’Incao, J. P. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 44, Issue 17 https://doi.org/10.1088/0953-4075/44/17/172001	journal	August 2011
Three-Photon Annihilation of an Electron-Positron Pair Ore, A.; Powell, J. L. Physical Review, Vol. 75, Issue 11 https://doi.org/10.1103/PhysRev.75.1696	journal	June 1949
Scattering properties of the $2 e^{-} 2 e^{+}$ polyelectronic system Daily, K. M.; von Stecher, Javier; Greene, Chris H. Physical Review A, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevA.91.012512	journal	January 2015
Complex scattering lengths in multi-channel atom–molecule collisions Balakrishnan, N.; Kharchenko, V.; Forrey, R. C. Chemical Physics Letters, Vol. 280, Issue 1-2 https://doi.org/10.1016/S0009-2614(97)01052-X	journal	November 1997
Correlated Gaussian hyperspherical method for few-body systems von Stecher, Javier; Greene, Chris H. Physical Review A, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRevA.80.022504	journal	August 2009
Possibilities for Bose condensation of positronium Platzman, P. M.; Mills, A. P. Physical Review B, Vol. 49, Issue 1 https://doi.org/10.1103/PhysRevB.49.454	journal	January 1994
Scattering lengths for collisions of ground state and metastable state hydrogen atoms Jamieson, M. J.; Dalgarno, A.; Doyle, J. M. Molecular Physics, Vol. 87, Issue 4 https://doi.org/10.1080/00268979600100541	journal	March 1996
The production of molecular positronium Cassidy, D. B.; Mills, A. P. Nature, Vol. 449, Issue 7159 https://doi.org/10.1038/nature06094	journal	September 2007
On the Annihilation of Electrons and Protons Dirac, P. A. M. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 26, Issue 3 https://doi.org/10.1017/S0305004100016091	journal	July 1930
Elastic Positronium-Atom Scattering Using the Stochastic Variational Method Ivanov, I. A.; Mitroy, J.; Varga, K. Physical Review Letters, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevLett.87.063201	journal	July 2001
Cold Collision Frequency Shift of the $1 S$ - $2 S$ Transition in Hydrogen Killian, Thomas C.; Fried, Dale G.; Willmann, Lorenz Physical Review Letters, Vol. 81, Issue 18 https://doi.org/10.1103/PhysRevLett.81.3807	journal	November 1998
Quantum Monte Carlo treatment of elastic exciton-exciton scattering Shumway, J.; Ceperley, D. M. Physical Review B, Vol. 63, Issue 16 https://doi.org/10.1103/PhysRevB.63.165209	journal	April 2001
Elastic Positronium-Atom Scattering Using the Stochastic Variational Method Ivanov, I. A.; Mitroy, J.; Varga, K. The American Physical Society https://doi.org/10.17877/de290r-10540	text	January 2001
Three-Photon Annihilation of an Electron-Positron Pair Ore, A.; Powell, J. L. Physical Review, Vol. 75, Issue 12 https://doi.org/10.1103/physrev.75.1963.2	journal	June 1949
Hyperspherical asymptotics of a system of four charged particles Daily, K. M. arXiv https://doi.org/10.48550/arxiv.1409.6519	text	January 2014
Bose-Einstein Condensation of Atomic Hydrogen Fried, Dale G.; Killian, Thomas C.; Willmann, Lorenz arXiv https://doi.org/10.48550/arxiv.physics/9809017	text	January 1998
1S-2S Spectrum of a Hydrogen Bose-Einstein Condensate Killian, Thomas C. arXiv https://doi.org/10.48550/arxiv.physics/9908002	text	January 1999
Positronium–positronium interaction: resonance, scattering length, and Bose–Einstein condensation Adhikari, Sadhan K. Physics Letters A, Vol. 294, Issue 5-6 https://doi.org/10.1016/s0375-9601(02)00128-7	journal	March 2002
The Hyperspherical Four-Fermion Problem Rittenhouse, Seth T.; von Stecher, J.; D'Incao, J. P. arXiv https://doi.org/10.48550/arxiv.1101.0285	text	January 2011

Cited By (1)

Resonant shifts of positronium energy levels in MgO powder Gurung, L.; Cooper, B. S.; Hogan, S. D. Physical Review A, Vol. 101, Issue 1 https://doi.org/10.1103/physreva.101.012701	journal	January 2020

Similar Records

Doubly excited states of the helium negative ion

Journal Article · Thu Apr 01 00:00:00 EST 1982 · Phys. Rev. A; (United States) · OSTI ID:1611446

Watanabe, S

Inseparable positron annihilation and positronium formation in positron-atom collisions: Description in terms of an absorption potential

Journal Article · Wed Oct 01 00:00:00 EDT 2003 · Physical Review. A · OSTI ID:1611446

Igarashi, Akinori; Kimura, Mineo; Shimamura, Isao; +1 more

Determination and applications of enhancement factors for positron and ortho-positronium annihilations

Journal Article · Thu Dec 15 00:00:00 EST 2005 · Physical Review. A · OSTI ID:1611446

Mitroy, J

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
Optics
Physics
Atomic & molecular collisions
Scattering of atoms
molecules
clusters & ions

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

Citation Formats

References (39)

Cited By (1)

Similar Records

Related Subjects