Year: 2025
Type: preprint
Abstract: Low-resolution nuclear Hamiltonians, obtained from chiral effective field theory (EFT) and softened using renormalization group techniques, have been very successful in nuclear structure theory. The associated EFT truncation uncertainty for these potentials is difficult to quantify. We use singular value decompositions of low-resolution nuclear forces to obtain an operator basis to study Hamiltonian uncertainties for these potentials. We perform Bayesian inference for the singular values and three-body low-energy constants, the free parameters of nuclear Hamiltonians in our framework, using likelihoods based on nucleon-nucleon phase shifts and triton observables to account for the EFT truncation uncertainties in these quantities. Validating our inference, we find good reproduction of input uncertainties for low-energy phase shifts and three-nucleon observables. On the other hand, uncertainties for higher-energy phase shifts are systematically underestimated, which we attribute to limitations of the singular value decomposition and neglected correlations between phase shifts at different energies. We propagate the resulting distribution of Hamiltonians forward to predictions for ground-state properties of $^{24,28}$O and $^{48}$Ca, comparing against other state-of-the-art nuclear structure predictions. Our approach makes it possible to account for EFT uncertainties when using low-resolution potentials, which is important for many ongoing studies in exotic nuclei.
Source: arXiv (Cornell University)
DOI: 10.1103/cqtc-d146
Authors: Plies, Tom, Heinz, Matthias, Schwenk, Achim
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: U.S. Department of Energy, Battelle, UT-Battelle, European Commission, Deutsche Forschungsgemeinschaft, Bundesministerium für Bildung und Forschung, Technische Universität Darmstadt, Gauss Centre for Supercomputing, Office of Science, Advanced Scientific Computing Research, Nuclear Physics, Oak Ridge National Laboratory
Awards: G1026679911, G121915436, G138487567, G1645119126, G166562317, G203625172, G2060252402, G275679244, G2757267231, G2988778103, G313676650, G3510889102, G4370606643, G4423657506, G4845049930, G5726405315, G6742297485, G675320460, G6992476341, SFB 1245: Atomkerne: Von fundamentalen Wechselwirkungen zu Struktur und Sternen, G8110749304, G8269158468, G844128178, G8906985441, G8943143067, G89955983
OpenAlex ID: W7084166394
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