2020/07/31 by R. J. Furnstahl, A. J. Garcia, P. J. Millican +1 · 1 citation
Physics and Astronomy · #nucl-th #cond-mat.mtrl-sci #hep-lat #hep-ph #nucl-ex
paper · pdf · doi:10.1016/j.physletb.2020.135719
published as Phys.Lett.B 809 (2020) 135719 · Typos in Eqs~(7) and (8) are corrected. Erratum will be submitted
arxiv created 2021/01/27 · arxiv updated 2021/01/28
Eigenvector continuation EC has been shown to accurately and efficiently reproduce ground states for targeted sets of Hamiltonian parameters. It uses as variational basis vectors the corresponding ground-state eigensolutions from selected other sets of parameters. Here we extend the EC approach to scattering using the Kohn variational principle. We first test it using a model for S-wave nucleon-nucleon scattering and then demonstrate that it also works to give accurate predictions for non-local potentials, charged-particle scattering, complex optical potentials, and higher partial waves. These proofs-of-principle validate EC as an accurate emulator for applying Bayesian inference to parameter estimation constrained by scattering observables. The efficiency of such emulators is because the accuracy is achieved with a small number of variational basis elements and the central computations are just linear algebra calculations in the space spanned by this basis.