Emulating multi-channel scattering based on the eigenvector continuation in the discrete basis formalism
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916765283385344 |
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| author | Hagino, K. Liao, Zehong Yoshida, S. Kimura, M. Uzawa, K. |
| author_facet | Hagino, K. Liao, Zehong Yoshida, S. Kimura, M. Uzawa, K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14922 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emulating multi-channel scattering based on the eigenvector continuation in the discrete basis formalism Hagino, K. Liao, Zehong Yoshida, S. Kimura, M. Uzawa, K. Nuclear Theory 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. |
| title | Emulating multi-channel scattering based on the eigenvector continuation in the discrete basis formalism |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2504.14922 |