Improved effective-range expansions for small and large values of scattering length
Improved effective-range expansions for small and large values of scattering length
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改进了小和大散射长度值的有效范围扩展
DOI：
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发表时间：
2018
影响因子：
0.7
通讯作者：
S. Adhikari
中科院分区：
文献类型：
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作者：
S. Adhikari
散射理论的有效射程展开在分析低能散射现象时是有用的，当散射长度a远大于散射势的射程R时：a R。然而，同样的方法也用于散射长度远小于势能范围的系统。我们建议并数值研究了一个有效范围的扩展，以及改进的两个参数的有效范围的扩展的情况下，E-a-E-b> R和E-a-E-b < R。在适当的限度内，改进的有效射程展开式（λ a λ> R和λ a λ < R）分别约化为λ a λ/ R λ 1和λ a λ/ R λ 1的有效射程展开式。
The textbook effective-range expansion of scattering theory is useful in the analysis of low-energy scattering phenomenology when the scattering length ∣ a ∣ is much larger than the range R of the scattering potential: ∣ a ∣ ≫ R . Nevertheless, the same has been used for systems where the scattering length is much smaller than the range of the potential. We suggest and numerically study an effective-range expansion for ∣ a ∣ ≪ R as well as improved two-parameter effective-range expansions for the cases ∣ a ∣ > R and ∣ a ∣ < R . The improved effective-range expansions for ∣ a ∣ > R and ∣ a ∣ < R reduce to the expansions for ∣ a ∣ / R ≫ 1 and ∣ a ∣ / R ≪ 1 , respectively, in appropriate limits.