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Journal of the Physical Society of Japan

Calculation of Elastic Scattering Properties in Ultracold Fermi-Bose and Bose-Bose Rb-K Vapor (Atomic and Molecular Physics)

Mustafa Öztürk, Süleyman Özçelik

Published Mar 15, 2006• 0 citations
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arXiv:physics/0406027•Jun 7, 2004•1 citation
The calculation of the elastic scattering properties of mixtures composed of ultracold Rb–K atoms is reported and compared with experimental results in detail. The improved potentials for both the singlet and triplet molecular states of Rb–K are presented, and the scattering lengths a t and the effective range r e are calculated with numeric and semiclassical methods for Rb–K in the triplet and singlet state. In addition, the convergence of these scattering properties depending on a K 0 parameter is investigated using quantum defect theory. Other results of the evaporative cooling that include the cross section and the spin–charge cross section, the rate coefficient as a function of the energy and ultralow temperature are also presented in this study.
The calculation of the elastic scattering properties of mixtures composed by rubidium and potassium atoms is reported and compared with experimental results in detail. The improved potentials for both molecular states the singlet and the triplet of the RbK are presented, and the scattering lengths a_{t} and the effective range r_{e} are calculated with the help of this potential using WKB and Numerov methods for Rb-K in the triplet and singlet state. In addition, the convergence of these scattering properties as the depending on a K_{0} parameter is investigated using Quantum Defect Theory. The evaporative cooling other results that include the cross section and the spin-charge cross section, the rate coefficient as a function of the energy and the ultra-low temperature are also presented in this study.
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_{2}2​ is represented, and the scattering lengths at and the effective range rer_{e}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 K0K_{0}K0​ parameter and core radius is also investigated using two method as Quantum Defect Theory and analytical formula of symskovisky.