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  • Letter

Applications of reduced-basis methods to the nuclear single-particle spectrum

Amy L. Anderson*, Graham L. O'Donnell†, and J. Piekarewicz‡

  • Department of Physics, Florida State University, Tallahassee, Florida 32306, USA

  • *aanderson6@fsu.edu
  • †glo15@fsu.edu
  • ‡jpiekarewicz@fsu.edu

Phys. Rev. C 106, L031302 – Published 30 September, 2022

DOI: https://doi.org/10.1103/PhysRevC.106.L031302

Abstract

Reduced-basis methods provide a powerful framework for building efficient and accurate emulators. Although widely applied in many fields to simplify complex models, reduced-basis methods have only been recently introduced into nuclear physics. In this Letter we build an emulator to study the single-particle structure of atomic nuclei. By scaling a suitable mean-field Hamiltonian, a “universal” reduced basis is constructed capable of accurately and efficiently reproduce the entire single-particle spectrum of a variety of nuclei. Indeed, the reduced-basis model reproduces both ground- and excited-state energies as well as the associated wave functions with remarkable accuracy. Our results bode well for more demanding applications that use Bayesian optimization to calibrate nuclear energy density functionals.

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