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Hyperspherical Approach to Atom–Dimer Collisions with the Jacobi Boundary Condition

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Abstract

In this study, we investigate atom–dimer scattering within the framework of hyperspherical coordinates. The coupled-channel Schrödinger equation is solved using the R-matrix propagation technique combined with the smooth variable discretization method. In the matching procedure, the asymptotic wave functions are expressed in the rotated Jacobi coordinates. We apply this approach to the elastic scattering \(^{3}\)He(T\(\uparrow \)) + \(^{4}\)He\(_{2}\) and H\(\uparrow \) +LiH\(\uparrow \) processes for testing. The convergence of the scattering length as a function of the propagation distance is studied. We find that the method is reliable and can provide considerable savings over previous propagators, so it is suitable for solving the atom–dimer scattering problem for important quantities such as the phase shift, cross section and scattering length.

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Acknowledgements

We thank C. H. Greene for helpful discussions. Hui-Li Han was supported by the National Natural Science Foundation of China under Grant No. 11874391 and the National Key Research and Development Program of China under Grant No. 2016YFA0301503. Ting-Yun Shi was supported by the Strategic Priority Research Program of the Chinese Academy of Sciences under Grant No. XDB21030300.

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Authors and Affiliations

  1. State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan, 430071, People’s Republic of China

    Cai-Yun Zhao, Yi Zhang, Hui-Li Han & Ting-Yun Shi

  2. University of Chinese Academy of Sciences, Beijing, 100049, People’s Republic of China

    Cai-Yun Zhao & Yi Zhang

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  1. Cai-Yun Zhao
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  2. Yi Zhang
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Correspondence to Hui-Li Han.

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Zhao, CY., Zhang, Y., Han, HL. et al. Hyperspherical Approach to Atom–Dimer Collisions with the Jacobi Boundary Condition. Few-Body Syst 63, 75 (2022). https://doi.org/10.1007/s00601-022-01775-9

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