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HK: Fachverband Physik der Hadronen und Kerne
HK 6: Structure and Dynamics of Nuclei II
HK 6.4: Talk
Monday, March 11, 2024, 17:45–18:00, HBR 19: C 5b
Uncertainty quantification for nuclear structure calculations using low-resolution potentials — •Tom Plies1,2, Matthias Heinz1,2,3, and Achim Schwenk1,2,3 — 1Technische Universität Darmstadt, Department of Physics — 2ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH — 3Max-Planck-Institut für Kernphysik, Heidelberg
Uncertainty quantification is a key aspect in modern nuclear theory. Nuclear Hamiltonians are uncertain, with the uncertainty residing in the low-energy constants (LECs) parametrizing the interactions. As these parameter-dependent interactions are used as input for nuclear structure calculations, distributions of many-body observables can be inferred from distributions of LECs. We deploy the singular value decomposition (SVD) to recover a linear operator basis for our interactions. We use Bayesian methods to infer distributions for the LECs from the theoretical uncertainties in nucleon-nucleon phase shifts. We then sample from the LEC posteriors to obtain distributions for the ground-state energies of 3H and 16O.
* Funded by the ERC Grant Agreement No. 101020842 and by the DFG – Project ID 279384907 – SFB 1245.
Keywords: Nuclear structure theory; Uncertainty quantification; Bayesian methods