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arXiv · 2504.14922

Emulating multi-channel scattering based on the eigenvector continuation in the discrete basis formalism

K. Hagino·Zehong Liao·S. Yoshida·M. Kimura·K. Uzawa
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Abstract

We construct an emulator for a multi-channel scattering problem based on the eigenvector continuation. To this end, we employ the Kohn variational principle formulated in the discrete basis formalism. We apply this to one-dimensional scattering problems with a Gaussian barrier. Both for a single-channel and two-channel problems, we demonstrate that the penetration probability as well as the wave functions are well reproduced by the emulator. In particular, the energy dependence of the penetrability in a wider range of energy from well below the barrier to well above the barrier is successfully reproduced.

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K. Hagino, Zehong Liao, S. Yoshida, M. Kimura, K. Uzawa. 2025-04-21. Emulating multi-channel scattering based on the eigenvector continuation in the discrete basis formalism. https://arxiv.org/abs/2504.14922

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