Calculation of the elastic scattering parameters in an ultra-cold Fermi-Bose and Bose-Bose Fr vapor
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 Fr2 is represented, and the scattering lengths at and the effective range re 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 K0 parameter and core radius is also investigated using two method as Quantum Defect Theory and analytical formula of symskovisky.
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