dorsal/arxiv
View SchemaCalculation of the elastic scattering parameters in an ultra-cold Fermi-Bose and Bose-Bose Fr vapor
| Authors | M. Kemal Öztürk, Süleyman Özçelik |
|---|---|
| Categories | |
| ArXiv ID | physics/0406027 |
| URL | https://arxiv.org/abs/physics/0406027 |
Abstract
The calculations of the elastic scattering properties of ultracold-francium isotopes are reported in the detail. A parametric model potential for the triplet molecular states of the Fr$_{2}$ is represented, and the scattering lengths at and the effective range $r_{e}$ are calculated using WKB and Numerov methods for Fr-Fr in the triplet state. The convergence of these scattering properties as the depending on a $K_{0}$ parameter and core radius is also investigated using two method as Quantum Defect Theory and analytical formula of symskovisky.
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"date_created": "2026-03-02T18:00:50.493000Z",
"date_modified": "2026-03-02T18:00:50.493000Z",
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"abstract": "The calculations of the elastic scattering properties of ultracold-francium\nisotopes are reported in the detail. A parametric model potential for the\ntriplet molecular states of the Fr$_{2}$ is represented, and the scattering\nlengths at and the effective range $r_{e}$ are calculated using WKB and Numerov\nmethods for Fr-Fr in the triplet state. The convergence of these scattering\nproperties as the depending on a $K_{0}$ parameter and core radius is also\ninvestigated using two method as Quantum Defect Theory and analytical formula\nof symskovisky.",
"arxiv_id": "physics/0406027",
"authors": [
"M. Kemal \u00d6zt\u00fcrk",
"S\u00fcleyman \u00d6z\u00e7elik"
],
"categories": [
"physics.atom-ph"
],
"title": "Calculation of the elastic scattering parameters in an ultra-cold Fermi-Bose and Bose-Bose Fr vapor",
"url": "https://arxiv.org/abs/physics/0406027"
},
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"execution_id": "798e581f-65f6-4610-8f0f-96f07eee7e5a",
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"variant": "snapshot-2026-03-01",
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