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S-wave Scattering Length from Effective Positronium-Positronium Interaction for Bose-Einstein Condensates

1999/11/29 by K. Oda, Kin-ya Oda, Takuma Miyakawa +8
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9911456

7 pages, 6 figures, submitted to Phys. Rev. A

arxiv created 1999/11/29 · openalex publication_date 1999/11/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The s-wave scattering length for the Positronium-Positronium interaction is estimated semi-phenomenologically with the long-range van der Waals force and the short-range repulsive potential that represents the hard core between two positronium. The obtained value of the scattering length is a ∼ 0.44\rm nm, and its stability is also checked for different parametrizations. Using this value, the Gross-Pitaevskii equation can be fixed for the Positronium Bose-Einstein condensates (Ps BEC). The static properties of Ps BEC are studied from the solutions of that equation. The phase-transition temperature shift of the Ps BEC due to the Ps-Ps interaction is also evaluated with the mean-field approximation.

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