Positronium-positronium scattering using the stochastic variational method

James Mitroy; Igor A. Ivanov; Kalman Varga

doi:10.1103/PhysRevA.65.022704

Positronium-positronium scattering using the stochastic variational method

James Mitroy, Igor A. Ivanov, Kalman Varga

Research output: Contribution to journal › Comment/debate

Abstract

The stochastic variational method is used in conjunction with stabilization ideas to compute the low-energy s-wave phase shifts and scattering lengths for Ps-Ps scattering. The scattering lengths obtained were 8.44a0 for the singlet-singlet and 3.00a0 for the triplet-triplet states (the spin state refers to the coupling of the two electrons and the coupling of the two positrons in the system). The positive scattering length in the triplet-triplet channel means a stable Bose-Einstein condensate of triplet Ps atoms is physically possible. The large value of the 3Ps3Ps→1Ps1Ps cross section, 7.41πa02 suggests the use of spin-polarized positrons as advanced by Platzmann and Mills [Phys. Rev. B 49 454 (1994)].

Original language	English
Pages (from-to)	022704-1-022704-9
Number of pages	9
Journal	Physical Review A (Atomic, Molecular and Optical Physics)
Volume	65
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.65.022704
Publication status	Published - 2002

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@article{35a9afd797bd4c90aa527b3866fe2ac7,

title = "Positronium-positronium scattering using the stochastic variational method",

abstract = "The stochastic variational method is used in conjunction with stabilization ideas to compute the low-energy s-wave phase shifts and scattering lengths for Ps-Ps scattering. The scattering lengths obtained were 8.44a0 for the singlet-singlet and 3.00a0 for the triplet-triplet states (the spin state refers to the coupling of the two electrons and the coupling of the two positrons in the system). The positive scattering length in the triplet-triplet channel means a stable Bose-Einstein condensate of triplet Ps atoms is physically possible. The large value of the 3Ps3Ps→1Ps1Ps cross section, 7.41πa02 suggests the use of spin-polarized positrons as advanced by Platzmann and Mills [Phys. Rev. B 49 454 (1994)].",

author = "James Mitroy and Ivanov, {Igor A.} and Kalman Varga",

year = "2002",

doi = "10.1103/PhysRevA.65.022704",

language = "English",

volume = "65",

pages = "022704--1--022704--9",

journal = "Physical Review A (Atomic, Molecular and Optical Physics)",

issn = "1094-1622",

number = "2",

}

TY - JOUR

T1 - Positronium-positronium scattering using the stochastic variational method

AU - Mitroy, James

AU - Ivanov, Igor A.

AU - Varga, Kalman

PY - 2002

Y1 - 2002

N2 - The stochastic variational method is used in conjunction with stabilization ideas to compute the low-energy s-wave phase shifts and scattering lengths for Ps-Ps scattering. The scattering lengths obtained were 8.44a0 for the singlet-singlet and 3.00a0 for the triplet-triplet states (the spin state refers to the coupling of the two electrons and the coupling of the two positrons in the system). The positive scattering length in the triplet-triplet channel means a stable Bose-Einstein condensate of triplet Ps atoms is physically possible. The large value of the 3Ps3Ps→1Ps1Ps cross section, 7.41πa02 suggests the use of spin-polarized positrons as advanced by Platzmann and Mills [Phys. Rev. B 49 454 (1994)].

AB - The stochastic variational method is used in conjunction with stabilization ideas to compute the low-energy s-wave phase shifts and scattering lengths for Ps-Ps scattering. The scattering lengths obtained were 8.44a0 for the singlet-singlet and 3.00a0 for the triplet-triplet states (the spin state refers to the coupling of the two electrons and the coupling of the two positrons in the system). The positive scattering length in the triplet-triplet channel means a stable Bose-Einstein condensate of triplet Ps atoms is physically possible. The large value of the 3Ps3Ps→1Ps1Ps cross section, 7.41πa02 suggests the use of spin-polarized positrons as advanced by Platzmann and Mills [Phys. Rev. B 49 454 (1994)].

U2 - 10.1103/PhysRevA.65.022704

DO - 10.1103/PhysRevA.65.022704

M3 - Comment/debate

VL - 65

SP - 022704-1-022704-9

JO - Physical Review A (Atomic, Molecular and Optical Physics)

JF - Physical Review A (Atomic, Molecular and Optical Physics)

SN - 1094-1622

IS - 2

ER -

Positronium-positronium scattering using the stochastic variational method

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