Calculation of the elastic scattering parameters in an ultra-cold Fermi-Bose and Bose-Bose Fr vapor

Details Calculation of the elastic scattering parameters in an ultra-cold Fermi-Bose and Bose-Bose Fr vapor Calculation of the elastic scattering parameters in an ultra-cold Fermi-Bose and Bose-Bose Fr vapor

2004-06-07

arxiv.org/abs/physics/0406027v1

Physics

Atomic Physics

6 pages, 6 tables and 2 figures

Scientific paper

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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