S-wave Scattering Length from Effective Positronium-Positronium Interaction for Bose-Einstein Condensates
Condensed Matter
2007-05-23 v1
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 , 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.
Keywords
Cite
@article{arxiv.cond-mat/9911456,
title = {S-wave Scattering Length from Effective Positronium-Positronium Interaction for Bose-Einstein Condensates},
author = {K. Oda and T. Miyakawa and H. Yabu and T. Suzuki},
journal= {arXiv preprint arXiv:cond-mat/9911456},
year = {2007}
}
Comments
7 pages, 6 figures, submitted to Phys. Rev. A