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

2025/04/21 by K. Hagino, Hagino, K., Zehong Liao +7 · 1 citation
Physics and Astronomy · Computer Science · #Quantum chaos and dynamical systems #Random lasers and scattering media #Quantum Information and Cryptography

paper · pdf · doi:10.48550/arxiv.2504.14922

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.

Citations

• Role of momentum in the generator-coordinate method applied to barrier penetration
• Applications of the Modified Hulthén-Kohn Method for Bound and Scattering States
• Barrier penetration in a discrete-basis formalism
• ROSE: A reduced-order scattering emulator for optical models
• Colloquium: Eigenvector continuation and projection-based emulators
• Precise determination of quadrupole and hexadecapole deformation parameters of the sd-shell nucleus, ²⁸Si
• Fast & rigorous predictions for A=6 nuclei with Bayesian posterior sampling
• Coupled-channels calculations for nuclear reactions: From exotic nuclei to superheavy elements
• Toward emulating nuclear reactions using eigenvector continuation
• Fast & accurate emulation of two-body scattering observables without wave functions
• Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables
• Generalizing the calculable R-matrix theory and eigenvector continuation to the incoming wave boundary condition
• Efficient emulators for scattering using eigenvector continuation
• Convergence of Eigenvector Continuation
• Derivation of K-matrix reaction theory in a discrete basis formalism
• Improved many-body expansions from eigenvector continuation
• Global sensitivity analysis of bulk properties of an atomic nucleus
• Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification
• Composite-particle decay widths by the generator coordinate method
• Neutron width statistics in a realistic resonance-reaction model
• An R-matrix package for coupled-channel problems in nuclear physics
• Error Estimates of Theoretical Models: a Guide
• Subbarrier fusion reactions and many-particle quantum tunneling
• WKB approximation for multichannel barrier penetrability
• A program for coupled-channels calculations with all order couplings for heavy-ion fusion reactions

Cited by

• Determination of nuclear deformations with an emulator for sub-barrier fusion reactions

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