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Calculation of the elastic scattering properties for cold and ultracold 39K atoms in a triplet state
作者姓名:胡秋波  王晓飞  孙金锋  朱遵略
作者单位:College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China;College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China;College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China;Department of Physics, Luoyang Normal College, Luoyang 471022, China ;;College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China;Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610064, China
基金项目: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).
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 α3∑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 79.578α0 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 α3∑u^+ state. Furthermore, the s-wave scattering cross section, the total cross section and energy positions of shape resonances for the α3∑u^+ state are calculated.

关 键 词:散射长度  有效量程  弹性交叉断面  形态共振
收稿时间:2006-12-21
修稿时间:2006-12-21

Calculation of the elastic scattering properties for cold and ultracold 39K atoms in a triplet state
Hu Qiu-Bo,Wang Xiao-Fei,Sun Jin-Feng and Zhu Zun-Lue.Calculation of the elastic scattering properties for cold and ultracold 39K atoms in a triplet state[J].Chinese Physics B,2007,16(8):2367-2370.
Authors:Hu Qiu-Bo  Wang Xiao-Fei  Sun Jin-Feng and Zhu Zun-Lue
Institution:1.College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China ;2. Department of Physics, Luoyang Normal College, Luoyang 471022, China ;3. Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610064, China
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\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.
Keywords:scattering length  effective range  elastic cross section  shape resonance
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