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Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables

2021/04/30 by S. Wesolowski, I. Svensson, A. Ekström +4 · 1 citation
Physics and Astronomy · #nucl-th #hep-ph #nucl-ex #physics.data-an

paper · pdf · doi:10.1103/physrevc.104.064001

15 pages, 7 figures; same as published version

arxiv created 2022/01/12 · arxiv updated 2022/01/13

Abstract

We explore the constraints on the three-nucleon force (3NF) of chiral effective field theory (χEFT) that are provided by bound-state observables in the A=3 and A=4 sectors. Our statistically rigorous analysis incorporates experimental error, computational method uncertainty, and the uncertainty due to truncation of the χEFT expansion at next-to-next-to-leading order. A consistent solution for the 3H binding energy, the 4He binding energy and radius, and the 3H β-decay rate can only be obtained if χEFT truncation errors are included in the analysis. All of these except the β-decay rate give essentially degenerate constraints on the 3NF low-energy constants, so it is crucial for estimating these parameters. We use eigenvector continuation for fast and accurate emulation of No-Core Shell Model calculations of the considered few-nucleon observables. This facilitates sampling of the posterior probability distribution, allowing us to also determine the distributions of the hyperparameters that quantify the truncation error. We find a χEFT expansion parameter of Q=0.33 ± 0.06 for these observables.

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