中国物理B ›› 2006, Vol. 15 ›› Issue (3): 531-535.doi: 10.1088/1009-1963/15/3/014

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Accurate calculation of the elastic scattering properties of 7Li atoms at ultralow temperatures

张计才1, 王杰敏1, 孙金锋2   

  1. (1)Department of Physics, Henan Normal University, Xinxiang 453007, China; (2)Department of Physics, Henan Normal University, Xinxiang 453007, China;China Center of Advanced Science and Technology (World Laboratory), Beijing 100080, China
  • 收稿日期:2005-07-16 修回日期:2005-11-22 出版日期:2006-03-20 发布日期:2006-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10174019).

Accurate calculation of the elastic scattering properties of 7Li atoms at ultralow temperatures

Sun Jin-Feng (孙金锋)ab, Zhang Ji-Cai (张计才)a, Wang Jie-Min (王杰敏)a   

  1. a Department of Physics, Henan Normal University, Xinxiang 453007, China; b China Center of Advanced Science and Technology (World Laboratory), Beijing 100080, China
  • Received:2005-07-16 Revised:2005-11-22 Online:2006-03-20 Published:2006-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10174019).

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摘要： The elastic scattering properties for collisions between two ${}^7$Li atoms are investigated in the cold and ultracold regimes separately. Based on recent theoretical and experimental results, we present the improved hybrid potentials for the singlet X$^1\dsum\nolimits_{\rm g}^ + $ and triplet a$^3\dsum\nolimits_{\rm u}^ +$ ground states of the Li$_2$. Our calculated values for the scattering lengths $a$ and the effective ranges $r_\e $ are compared with previous ones, and found them to be in good agreement. The scattering lengths are $34.6a_0$ for the singlet state and $-27.6a_0$ for the triplet state. Shape resonances occur in the collisions at low energies. We also calculate the total cross sections and the energy positions of shape resonances for both X$^1\dsum\nolimits_{\rm g}^ + $ and a$^3\dsum\nolimits_{\rm u}^ +$ states.

关键词: scattering length, elastic cross section, shape resonance

Abstract: The elastic scattering properties for collisions between two 7Li atoms are investigated in the cold and ultracold regimes separately. Based on recent theoretical and experimental results, we present the improved hybrid potentials for the singlet X1∑g+ and triplet a3∑u+ ground states of the Li2. Our calculated values for the scattering lengths a and the effective ranges re are compared with previous ones and found them to be in good agreement. The scattering lengths are 34.6a0 for the singlet state and ?27.6a0 for the triplet state. Shape resonances occur in the collisions at low energies. We also calculate the total cross sections and the energy positions of shape resonances for both X1∑g+ and a3∑u+ states.

Key words: scattering length, elastic cross section, shape resonance

中图分类号:  (Elastic scattering)

  • 34.80.Bm
34.20.Cf (Interatomic potentials and forces) 34.20.-b (Interatomic and intermolecular potentials and forces, potential energy surfaces for collisions)