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Calculations of the Elastic Scattering Properties of Ultra-cold Francium Isotopes
Authors:M. K. Öztürk  S. Özçelik
Affiliation:(1) Physics Department, University of Gazi, Ankara, Teknikokullar, Turkiye, 06500
Abstract:The calculations of the elastic scattering properties of ultra-cold francium isotopes are reported in 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 depending on a K0 parameter and core radius is also investigated using two methods: Quantum Defect Theory and analytical formula of Symskoviski.
Keywords:Ultra-cold  francium  Bose Einstein condensation  scattering length  effective range
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