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

Garcia, A. J.; Drischler, C.; Furnstahl, R. J.; Melendez, J. A.; Zhang, Xilin

doi:10.1103/physrevc.107.054001

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

Journal Article · 16 May 2023 · Physical Review. C

DOI: https://doi.org/10.1103/physrevc.107.054001 · OSTI ID:2318491

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The Ohio State University, Columbus, OH (United States)
Ohio University, Athens, OH (United States); Michigan State University, East Lansing, MI (United States)
Michigan State University, East Lansing, MI (United States)

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 (N N) 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 (n p) scattering observables, and also introduce a quasi-spline-based approach for the KVP-based emulator. Furthermore, 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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Research Organization:: Michigan State Univ., East Lansing, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

Grant/Contract Number:: SC0013617; PHY1913069; PHY-2209442; OAC-2004601

OSTI ID:: 2318491

Journal Information:: Physical Review. C, Vol. 107, Issue 5; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Effective field theory
Nucleon-nucleon interactions
Statistical methods

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

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