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Chinese Physics

Calculation of the elastic scattering properties for cold and ultracold 39 K atoms in a triplet state

Hu Qiu-Bo, Wang Xiao-Fei, Sun Jin-Feng, Zhu Zun-Lüe

Published Aug 1, 2007• 1 citation
Publisher

Abstract

The elastic scattering properties for collisions between cold and ultracold 39 K atoms in a triplet state are investigated. Based on the recent theoretical and experimental results, the improved hybrid potential is presented for a triplet a 3 ∑ u + ground state of K 2 . Our calculated value of the s-wave scattering length a by using the Numerov method for the triplet state is 79.578 a 0 and found to be in good agreement with the previous ones. The numbers of bound states are supported by the molecular potential. Pronounced shape resonances appear for the l = 3 partial waves for the a 3 ∑ u + state. Furthermore, the s-wave scattering cross section, the total cross section and energy positions of shape resonances for the a 3 ∑ u + state are calculated.

DOI
10.1088/1009-1963/16/8/035

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The elastic scattering properties for collisions between ultracold Na and K atoms in the singlet state are investigated. Based on the recent theoretical and experimental results, the improved hybrid potential is presented for the singlet X 1 Σ g + ground state of NaK. By means of the Numerov and semiclassical methods, the values of the s-wave scattering length a for the singlet state are calculated to be 33.3757 a 0 and 37.9399 a 0 , respectively. Pronounced shape resonances appear for the l = 1 partial wave for the X 1 Σ g + state. In addition, the s-wave scattering cross section, total cross section and energy positions of shape resonances for the X 1 Σ g + state are discussed.
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The calculations of the elastic scattering properties for collisions between two 23Na atoms at ultra-cold temperatures are reported and compared with experimental and theoretical results in the detail. We present a parametric model potential for the triplet molecular state of the 23Na molecule, and calculate the scattering length ɑ(subscript t) and the effective range r(subscript e) by using the semiclassical and Numerov methods, respectively. The shape resonances occur in the collisions at low energies, and resonance positions and widths are computed by Briet-Wigner formula. In addition, we also present other results that include differential cross sections at zero energy limit.
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