Determination of the scattering length for Rb-Cs X${}^1{\Sigma }^{+}$ ground electronic state using a variational method

Abstract

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 $X^1{\Sigma }^{+}$ state based on genetic algorithm. The quality of our result was evaluated by comparing them with several ones previously published at literature.

15 pages, 6 tables and 2 figures

References in corpus (2)

• Sticky collisions of ultracold RbCs molecules
• Numerov numerical method applied to the Schrödinger equation