Global Sensitivity Analysis of Bulk Properties of an Atomic Nucleus

Ekström, Andreas; Hagen, Gaute

doi:10.1103/PhysRevLett.123.252501

Title: Global Sensitivity Analysis of Bulk Properties of an Atomic Nucleus

Journal Article · 20 December 2019 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.123.252501 · OSTI ID:1632066

Ekström, Andreas ^[1];

^[2]

Chalmers Univ. of Technology, Goteburg (Sweden)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)

We perform a global sensitivity analysis of the binding energy and the charge radius of the nucleus ¹⁶O to identify the most influential low-energy constants in the next-to-next-to-leading order chiral Hamiltonian with two- and three-nucleon forces. For this purpose, we develop a subspace-projected coupled-cluster method using eigenvector continuation [Frame D. et al., Phys. Rev. Lett. 121, 032501 (2018)]. With this method, we compute the binding energy and charge radius of ¹⁶O at more than 106 different values of the 16 low-energy constants in one hour on a standard laptop computer. For relatively small subspace projections, the root-mean-square error is about 1% compared to full-space coupled-cluster results. We find that 58(1)% of the variance in energy can be apportioned to a single contact term in the ³S₁ wave, whereas the radius depends sensitively on several low-energy constants and their higher-order correlations. The results identify the most important parameters for describing nuclear saturation and help prioritize efforts for uncertainty reduction of theoretical predictions. The achieved acceleration opens up an array of computational statistics analyses of the underlying description of the strong nuclear interaction in nuclei across the Segrè chart.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1632066

Journal Information:: Physical Review Letters, Vol. 123, Issue 25; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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