Wave-function-based emulation for nucleon-nucleon scattering in momentum space

A. J. Garcia, C. Drischler, R. J. Furnstahl, J. A. Melendez, and Xilin Zhang
Phys. Rev. C 107, 054001 – Published 16 May 2023

Abstract

Emulators for low-energy nuclear physics can provide fast and accurate predictions of bound-state and scattering observables for applications that require repeated calculations with different parameters, such as Bayesian uncertainty quantification. In this paper, we extend a scattering emulator based on the Kohn variational principle (KVP) to momentum space (including coupled channels) with arbitrary boundary conditions, which enable the mitigation of spurious singularities known as Kohn anomalies. We test it on a modern chiral nucleon-nucleon (NN) interaction, including emulation of the coupled channels. We provide comparisons between a Lippmann-Schwinger equation emulator and our KVP momentum-space emulator for a representative set of neutron-proton (np) scattering observables, and also introduce a quasi-spline-based approach for the KVP-based emulator. Our findings show that while there are some trade-offs between accuracy and speed, all three emulators perform well. Self-contained Jupyter notebooks that generate the results and figures in this paper are publicly available.

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  • Received 31 January 2023
  • Accepted 7 April 2023

DOI:https://doi.org/10.1103/PhysRevC.107.054001

©2023 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

A. J. Garcia1,*, C. Drischler2,3,†, R. J. Furnstahl1,‡, J. A. Melendez1,§, and Xilin Zhang3,∥

  • 1Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
  • 2Department of Physics and Astronomy and Institute of Nuclear and Particle Physics, Ohio University, Athens, Ohio 45701, USA
  • 3Facility for Rare Isotope Beams, Michigan State University, Michigan 48824, USA

  • *garcia.823@osu.edu
  • drischler@ohio.edu
  • furnstahl.1@osu.edu
  • §melendez.27@osu.edu
  • zhangx@frib.msu.edu

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Vol. 107, Iss. 5 — May 2023

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