Greedy emulators for nuclear two-body scattering

Maldonado, J. M.; Drischler, C.; Furnstahl, R. J.; Mlinarić, P.

doi:10.1103/k77q-f82l

Greedy emulators for nuclear two-body scattering

Journal Article · Mon Aug 04 00:00:00 EDT 2025 · Physical Review. C

DOI:https://doi.org/10.1103/k77q-f82l· OSTI ID:3016171

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Ohio Univ., Athens, OH (United States)
Ohio Univ., Athens, OH (United States); Michigan State Univ., East Lansing, MI (United States)
The Ohio State Univ., Columbus, OH (United States)
Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)

Applications of reduced basis method emulators are increasing in low-energy nuclear physics because they enable fast and accurate sampling of high-fidelity calculations, enabling robust uncertainty quantification. Here, in this paper, we develop, implement, and test two model-driven emulators based on the (Petrov-)Galerkin projection using the prototypical test case of two-body scattering with the Minnesota potential and a more realistic local chiral potential. The high-fidelity scattering equations are solved with the matrix Numerov method, a reformulation of the popular Numerov recurrence relation for solving special second-order differential equations as a linear system of coupled equations. A novel error estimator based on reduced-space residuals is applied to an active learning approach (a greedy algorithm) to choosing training samples (“snapshots”) for the emulator and contrasted with a proper orthogonal decomposition (POD) approach. Both approaches allow for computationally efficient offline-online decompositions, but the greedy approach requires many fewer snapshot calculations. These developments set the groundwork for emulating scattering observables based on chiral nucleon-nucleon and three-nucleon interactions and optical models, where computational speed-ups are necessary for Bayesian uncertainty quantification. Our emulators and error estimators are widely applicable to linear systems.

View Accepted Manuscript (DOE)

Research Organization:: Michigan State Univ., East Lansing, MI (United States); Ohio Univ., Athens, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0013617; SC0024233; SC0024509

OSTI ID:: 3016171

Alternate ID(s):: OSTI ID: 3006846

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 2 Vol. 112; ISSN 2469-9985; ISSN 2469-9993

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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