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.
Categories: physics.atom-ph