Uncertainties with low-resolution nuclear forces

[2509.24671] Uncertainties with low-resolution nuclear forces Skip to main content Search Submit Donate Log in Nuclear Theory arXiv:2509.24671 (nucl-th) [Submitted on 29 Sep 2025 ( v1 ), last revised 25 Aug 2026 (this version, v2)] Title: Uncertainties with low-resolution nuclear forces Authors: Tom Plies , Matthias Heinz , Achim Schwenk View PDF HTML (experimental) 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. Comments: 20 pages, 13 figures, published version Subjects: Nuclear Theory (nucl-th) ; Nuclear Experiment (nucl-ex) Cite as: arXiv:2509.24671 [nucl-th] (or arXiv:2509.24671v2 [nucl-th] for this version) https://doi.org/10.48550/arXiv.2509.24671 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. C 114, 024327 (2026) Related DOI : https://doi.org/10.1103/cqtc-d146 Focus to learn more DOI(s) linking to related resources Submission history From: Tom Plies [ view email ] [v1] Mon, 29 Sep 2025 12:14:25 UTC (8,241 KB) [v2] Tue, 25 Aug 2026 10:00:26 UTC (8,244 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: nucl-th < prev | next > new | recent | 2025-09 Change to browse by: nucl-ex References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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