中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2367-2370.doi: 10.1088/1009-1963/16/8/035

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

胡秋波1, 王晓飞1, 孙金锋2, 朱遵略3   

  1. (1)College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China; (2)College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China；Department of Physics, Luoyang Normal College, Luoyang 471022, China ；; (3)College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China；Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610064, China
  • 收稿日期:2006-12-21 修回日期:2007-01-10 出版日期:2007-08-20 发布日期:2007-08-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10574039) and the Science Foundation for Young Scientists of Henan Normal University, China (Grant No 2005004).

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

Hu Qiu-Bo(胡秋波)a), Wang Xiao-Fei(王晓飞)a), Sun Jin-Feng(孙金锋)a)b)† , and Zhu Zun-Lue(朱遵略)a)c)   

  1. a College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China; b Department of Physics, Luoyang Normal College, Luoyang 471022, China; c Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610064, China
  • Received:2006-12-21 Revised:2007-01-10 Online:2007-08-20 Published:2007-08-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10574039) and the Science Foundation for Young Scientists of Henan Normal University, China (Grant No 2005004).

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摘要： The elastic scattering properties for collisions between cold and ultracold 39K atoms in a triplet state are investigated. Based on the recent theoretical and experimental results, the improved hybrid potential is presented for a triplet a3\Sigmau+ ground state of K2. Our calculated value of the s-wave scattering length a by using the Numerov method for the triplet state is 79.578a0 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 a3\Sigmau+ state. Furthermore, the s-wave scattering cross section, the total cross section and energy positions of shape resonances for the a3\Sigmau+ state are calculated.

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

Abstract: The elastic scattering properties for collisions between cold and ultracold 39K atoms in a triplet state are investigated. Based on the recent theoretical and experimental results, the improved hybrid potential is presented for a triplet a3$\Sigma$u+ ground state of K2. Our calculated value of the s-wave scattering length a by using the Numerov method for the triplet state is 79.578a0 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 a3$\Sigma$u+ state. Furthermore, the s-wave scattering cross section, the total cross section and energy positions of shape resonances for the a3$\Sigma$u+ state are calculated.

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

中图分类号:  (Scattering of atoms and molecules)

  • 34.50.-s
31.15.-p (Calculations and mathematical techniques in atomic and molecular physics) 34.20.-b (Interatomic and intermolecular potentials and forces, potential energy surfaces for collisions)