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理论物理通讯：英文版

Elastic Scattering of Ultracold ^133Cs and SSRb Atoms in Triplet State

Sun, Jin-Feng Jin-Feng, Hu, Qiu-Bo, Zhu, Zun-Lue, Wang, Xiaofei, Zhang, Ji-Cai

Published Jan 1, 2007• 0 citations
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Chinese Physics•Aug 1, 2007•1 citation
Based on the accurate singlet and triplet state interatomic potentials for Na2, a theoretical study of elastic scattering properties of sodium atoms at ultracold temperatures is reported in this paper. The s-wave scattering length, effective range, the p-wave scattering length and the number of bound states are calculated. The singlet and triplet elastic scattering cross section between sodium aotms at ultracold temperatures are dominated by s-wave scattering, and shape resonances occur with collision energy increasing. There exist pronounced f-wave and i-wave shape resonances for the singlet and triplet cross section. In addition, s-wave scattering length is calculated by using the degenerate internet state approximation for selected hyperfine states of sodium atoms. The results are in agreement with calculated values obtained by close-coupling method.
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.