使用变分法确定 Rb-Cs X$^{1}Σ^{+}$ 基态电子态的散射长度
Determination of the scattering length for Rb-Cs X$^{1}Σ^{+}$ ground electronic state using a variational method
AI总结：
本文基于 R-matrix 理论和有限元法计算了铷铯弹性碰撞的散射长度，并测试了遗传算法拟合的势能曲线，通过文献对比验证了结果质量。
摘要：
我们计算了铷原子和铯原子之间弹性碰撞的散射长度。为此，我们应用了基于非束缚态 R-matrix 理论的变分过程，采用有限元法（FEM）将波函数展开为有限局部基函数集。FEM 的优势在于能够开发高效的矩阵求逆算法，从而显著减少计算 R 矩阵的计算时间。我们还测试了具有光谱精度的势能曲线，该曲线此前通过基于遗传算法对 $X^{1}Σ^{+}$ 态实验数据的直接拟合过程获得。我们通过将结果与文献中先前发表的几个结果进行比较，评估了我们结果的质量。
英文摘要：
We performed the calculation of the scattering length for the elastic collision between the rubidium and cesium atoms. For this we applied a variational procedure based on the R-matrix theory for unbound states employing the finite element method (FEM) for expansion of the wave-function in terms of a finite set of local basis functions. The FEM presents as advantages the possibility of the development of a efficient matrix inversion algorithm which significantly reduces the computation time to calculate the R matrix. We also tested a potential energy curve with spectroscopic accuracy obtained before from a direct adjustment procedure of experimental data of the $X^{1}Σ^{+}$ state based on genetic algorithm. The quality of our result was evaluated by comparing them with several ones previously published at literature.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
